@string{IEEETC:JOURNAL = {IEEE Transactions on Computers}} @string{IEEETC:49:7:URL = {http://computer.org/tc/tc2000/t7toc.htm}} @string{IEEETC:49:7:HOW = {Fichier groupes}} @string{IEEETC:47:7:URL = {http://computer.org/tc/tc1998/t7toc.htm}} @string{IEEETC:47:7:HOW = {Fichier groupes}} @string{IEEETC:43:8:URL = {http://computer.org/tc/tc1994/t8toc.htm}} @string{IEEETC:43:8:HOW = {Fichier groupes}} @string{IEEETC:39:8:URL = {http://computer.org/tc/tc1990/t8toc.htm}} @string{IEEETC:43:8:HOW = {Fichier groupes}} @string{TCS:JOURNAL = {Theoretical Computer Science}} @string{TCS:URL = {http://www.sciencedirect.com/}} @string{TCS:HOW = {Fichier groupes}} @string{ARITH07:BOOKTITLE = {Proceedings of the 18th Symposium on Computer Arithmetic}} @string{ARITH07:ADDRESS = {Montpellier, France}} @string{ARITH07:URL = {http://csdl.computer.org/comp/proceedings/arith/}} @string{ARITH07:HOW = {Fichier groupes}} @string{ARITH05:BOOKTITLE = {Proceedings of the 17th Symposium on Computer Arithmetic}} @string{ARITH05:EDITOR = {Paolo Montuschi and Eric Schwarz}} @string{ARITH05:ADDRESS = {Cape Cod, Massachusetts}} @string{ARITH05:URL = {http://csdl.computer.org/comp/proceedings/arith/}} @string{ARITH05:HOW = {Fichier groupes}} @string{ARITH03:BOOKTITLE = {Proceedings of the 16th Symposium on Computer Arithmetic}} @string{ARITH03:EDITOR = {Bajard, Jean-Claude and Schulte, Michael}} @string{ARITH03:ADDRESS = {Santiago de Compostela, Spain}} @string{ARITH03:URL = {http://csdl.computer.org/comp/proceedings/arith/2003/1894/00/1894toc.htm}} @string{ARITH03:HOW = {Fichier groupes}} @string{ARITH01:BOOKTITLE = {Proceedings of the 15th Symposium on Computer Arithmetic}} @string{ARITH01:EDITOR = {Burgess, Neil and Ciminiera, Luigi}} @string{ARITH01:ADDRESS = {Vail, Colorado}} @string{ARITH01:URL = {http://www.computer.org/proceedings/arith/1150/1150toc.htm}} @string{ARITH01:HOW = {Fichier groupes, Livre}} @string{ARITH99:BOOKTITLE = {Proceedings of the 14th Symposium on Computer Arithmetic}} @string{ARITH99:EDITOR = {Koren, Israel and Kornerup, Peter}} @string{ARITH99:ADDRESS = {Adelaide, Australia}} @string{ARITH99:URL = {http://computer.org/proceedings/arith/0116/0116toc.htm}} @string{ARITH99:HOW = {Fichier groupes, Livre}} @string{ARITH97:BOOKTITLE = {Proceedings of the 13th Symposium on Computer Arithmetic}} @string{ARITH97:EDITOR = {Tomas Lang and Jean-Michel Muller and Naofumi Takagi}} @string{ARITH97:ADDRESS = {Monterey, California}} @string{ARITH97:URL = {http://computer.org/proceedings/arith/7846/7846toc.htm}} @string{ARITH97:HOW = {Fichier groupes}} @string{ARITH95:BOOKTITLE = {Proceedings of the 12th Symposium on Computer Arithmetic}} @string{ARITH95:EDITOR = {Knowles, Simon and McAllister, William H.}} @string{ARITH95:ADDRESS = {Bath, England}} @string{ARITH95:URL = {http://computer.org/proceedings/arith/7089/7089toc.htm}} @string{ARITH95:HOW = {Fichier groupes, Livre JM2}} @string{ARITH93:BOOKTITLE = {Proceedings of the 11th Symposium on Computer Arithmetic}} @string{ARITH93:EDITOR = {Earl Swartzlander and Mary Jane Irwin and Graham Jullien}} @string{ARITH93:ADDRESS = {Windsor, Ontario}} @string{ARITH93:HOW = {Livre}} @string{ARITH91:BOOKTITLE = {Proceedings of the 10th Symposium on Computer Arithmetic}} @string{ARITH91:EDITOR = {Peter Kornerup and David Matula}} @string{ARITH91:ADDRESS = {Grenoble, France}} @string{ARITH91:HOW = {Livre}} @string{ASAP2K:BOOKTITLE = {IEEE International Conference on Application-specific Systems, Architectures and Processors}} @string{ASAP2K:EDITOR = {Earl E. Swartzlander and Graham A. Jullien and Michael Schulte}} @string{ASAP2K:ADDRESS = {Boston, Massachusetts}} @string{ASAP2K:URL = {http://computer.org/proceedings/asap/0716/0716toc.htm}} @string{ASAP2K:HOW = {Fichier groupes, Livre}} @string{INRIA:INST = {Institut National de Recherche en Informatique et en Automatique}} @string{ENSL:INST = {{\'E}cole Normale Sup{\`e}rieure de Lyon}} @inproceedings{BerDau96, author = {Berthelot, David and Daumas, Marc}, address = {W{\"u}rzburg, Germany}, booktitle = {International Conference on Interval Methods and Computer Aided Proofs in Science and Engineering}, pages = {23-24}, title = {A library for real numbers using {C}auchy's embedded interval sequences}, year = 1996, crindex = {Fichier et Classeur dont transparents}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-32.ps.Z} } @ARTICLE{BerDau97, author = {David Berthelot and Marc Daumas}, journal = {Reliable Computing}, volume = 3, number = 3, pages = {219-227}, title = {Computing on sequences of embedded intervals}, year = 1997, crindex = {Fichier et Classeur dont transparents}, url = {http://www.wkap.nl/article.pdf?144555}, url.alt = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-32.ps.Z} } @inproceedings{BolDau01a, author = {Boldo, Sylvie and Daumas, Marc}, title = {Performances d'implantations de l'addition en pr{\'e}cision quad-double sur diff{\'e}rentes machines}, pages = {105-112}, booktitle = {7{\`e}me Symposium sur les Architectures Nouvelles de Machines}, address = {Paris, France}, year = 2001, crindex = {Fichier groupes, Livre}, url = {http://www.ens-lyon.fr/LIP/Sympa/Sympa7/15.pdf} } @inproceedings{BolDau01b, author = {Boldo, Sylvie and Daumas, Marc}, title = {A mechanically validated technique for extending the available precision}, booktitle = {35th Asilomar Conference on Signals, Systems, and Computers}, pages = {1299-1303}, address = {Pacific Grove, California}, url = {http://perso.ens-lyon.fr/marc.daumas/SoftArith/BolDau01b.pdf}, year = 2001 } @inproceedings{BolDau02a, author = {Boldo, Sylvie and Daumas, Marc}, title = {Properties of the subtraction valid for any floating point system}, booktitle = {7th International Workshop on Formal Methods for Industrial Critical Systems}, address = {M{\'a}laga, Spain}, pages = {137-149}, year = 2002, crindex = {Fichier}, url = {http://www.inrialpes.fr/vasy/fmics/workshop-7/proceedings.pdf} } @Article{BolDau04a, author = {Boldo, Sylvie and Daumas, Marc}, title = {Properties of two's complement floating point notations}, journal = {International Journal on Software Tools for Technology Transfer}, volume = 5, number = {2-3}, pages = {237-246}, year = 2004, crindex = {Fichier}, url = {http://hal.archives-ouvertes.fr/hal-00157268}, url.alt = {http://dx.doi.org/10.1007/s10009-003-0120-y} } @inproceedings{BolDau03, author = {Sylvie Boldo and Marc Daumas}, title = {Representable correcting terms for possibly underflowing floating point operations}, pages = {79-86}, year = 2003, address = ARITH03:ADDRESS, booktitle = ARITH03:BOOKTITLE, editor = ARITH03:EDITOR, crindex = ARITH03:HOW, url = {http://perso.ens-lyon.fr/marc.daumas/SoftArith/BolDau03.pdf} } @inproceedings{LiBolDau03, author = {Ren-Cang Li and Sylvie Boldo and Marc Daumas}, title = {Theorems on efficient argument reductions}, pages = {129-136}, year = 2003, address = ARITH03:ADDRESS, booktitle = ARITH03:BOOKTITLE, editor = ARITH03:EDITOR, crindex = ARITH03:HOW, url = {http://hal.archives-ouvertes.fr/hal-00156244} } @Article{BolDauLi09, author = {Sylvie Boldo and Marc Daumas and Ren-Cang Li}, title = {Formally verified argument reduction with a fused-multiply-add}, journal = IEEETC:journal, year = 2009, volume = 58, number = 8, pages = {1139-1145}, url = {http://doi.ieeecomputersociety.org/10.1109/TC.2008.216} } @inproceedings{BolDau02b, author = {Sylvie Boldo and Marc Daumas}, address = {Paris, France}, booktitle = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {Faithful rounding without fused multiply and accumulate}, year = 2002, crindex = {Fichier}, url = {http://scan2002.lip6.fr/abstracts/boldo.pdf} } @Article{BolDau04b, author = {Sylvie Boldo and Marc Daumas}, title = {A simple test qualifying the accuracy of {H}orner's rule for polynomials}, journal = {Numerical Algorithms}, year = 2004, volume = 37, number = {1-4}, pages = {45-60}, crindex = {Fichier}, url = {http://dx.doi.org/10.1023/B:NUMA.0000049487.98618.61} } @inproceedings{BolDauThe03, author = {Sylvie Boldo and Marc Daumas and Laurent Th{\'e}ry}, address = {Roma, Italy}, booktitle = {Proceedings of the 11th Symposium on the Integration of Symbolic Computation and Mechanized Reasoning}, title = {Formal proofs and computations in finite precision arithmetic}, year = 2003, crindex = {En attente} } @ARTICLE{BolDauMorThe03, author = {Sylvie Boldo and Marc Daumas and Claire Moreau-Finot and Laurent Th{\'e}ry}, journal = {Journal of the ACM}, title = {Computer validated proofs of a toolset for adaptable arithmetic}, note = {Submitted}, url = {http://arxiv.org/abs/cs.MS/0107025}, year = {2003} } @proceedings{CapDau01, address = {Paris, France}, editor = {Franck Cappello and Marc Daumas}, title = {7{\`e}me Symposium sur les Architectures Nouvelles de Machines}, year = {2001}, crindex = {Livre}, url = {http://www.ens-lyon.fr/LIP/Sympa/Sympa7/} } @phdthesis{Dau01, author = {Daumas, Marc}, school = {Universit{\'e} Claude Bernard}, address = {Lyon, France}, title = {{\'E}crire les nombres autrement pour calculer plus vite}, type = {Habilitation {\`a} Diriger des Recherches}, year = 2001, crindex = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/HDR/HDR2001/HDR2001-02.ps.gz} } @TECHREPORT{Dau90, author = {Marc Daumas}, institution = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Implantation sur un circuit {VLSI} d'un algorithme {CORDIC} rapide}, TYPE = {Training period}, year = 1990 } @MASTERSTHESIS{Dau92, author = {Marc Daumas}, address = {Dallas, Texas}, SCHOOL = {Southern Methodist University}, title = {Basis for the implementation of a reliable dot product}, year = {1992}, crindex = {Livre}, url = {ftp://ftp.ens-lyon.fr/pub/users/LIP/daumas/publi/thesis.ps} } @inproceedings{Dau93, author = {Marc Daumas}, address = {Toulouse, France}, booktitle = {Journ{\'e}es des Jeunes Chercheurs en Syst{\`e}mes {\`a} M{\'e}moire Logiquement Partag{\'e}e}, pages = {53-58}, title = {Un compilateur sisal d{\'e}riv{\'e} d'{OSC} sur machine {\`a} m{\'e}moire logiquement partag{\'e}e}, year = 1993, crindex = {Classeur} } @PHDTHESIS{Dau96a, author = {Marc Daumas}, address = {Lyon, France}, SCHOOL = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Contributions {\`a} l'arithm{\'e}tique des ordinateurs~: vers un contr{\^o}le de la pr{\'e}cision}, year = 1996, crindex = {Livre, Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD1996/PhD1996-02.ps.Z} } @inproceedings{Dau96b, author = {Marc Daumas}, address = {Marseille, France}, booktitle = {Real Numbers and Computers}, pages = {85-97}, title = {{KIDS}, simple sequences strain error analysis}, year = {1996}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR96/RR96-12.ps.Z} } @INBOOK{Dau97, author = {Marc Daumas}, chapter = {L'arithm{\'e}tique flottante}, pages = {9-18}, publisher = {Masson}, title = {Qualit{\'e} des calculs sur ordinateur~: vers des arithm{\'e}tiques plus fiables}, year = 1997, crindex = {Livre}, url = {http://www.ens-lyon.fr/~jmmuller/livre_masson.html} } @inproceedings{Dau98a, author = {Marc Daumas}, address = {Plovdiv, Bulgaria}, booktitle = {Seventh International Colloqium on Numerical Analysis and Computer Science with Applications}, pages = {29}, title = {Proving the exact behavior of algorithms for floating point arithmetic}, year = {1998}, crindex = {Livre dont transparents}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR98/RR98-39.ps.Z} } @comment{Copie de groupe.bib} @inproceedings{Dau98b, author = {Marc Daumas}, address = {Dagstuhl, Germany}, booktitle = {Architecture and Arithmetic Support for Multimedia}, title = {Expansions: lightweight multiple precison arithmetic}, pages = 14, year = 1998, crindex = {Classeur dont transparents}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR98/RR98-39.ps.Z} } @inproceedings{Dau99a, author = {Daumas, Marc}, title = {Multiplications of floating point expansions}, pages = {250-257}, year = 1999, booktitle = ARITH99:booktitle, editor = ARITH99:editor, address = ARITH99:address, crindex = ARITH99:HOW, url = {http://perso.ens-lyon.fr/marc.daumas/SoftArith/Dau99.pdf}, url.alt = ARITH99:URL } @UNPUBLISHED{Dau99b, author = {Daumas, Marc}, institution = {Ecoles Normales Sup{\'e}rieures}, note = {Second concours}, title = {{\'E}preuve d'informatique}, year = 1999 } @inproceedings{DauBat97, author = {Marc Daumas and Françoise Bataille}, address = {Minneapolis, Minnesota}, booktitle = {Proceedings of the 8th SIAM Conference on Parallel Processing for Scientific Computing}, title = {Discret evolution of 2{D} turbulences with injection for parallel machines and clusters of workstations}, year = 1997, crindex = {Fichier} } @INBOOK{DauDinMul01, author = {Marc Daumas and Florent de~Dinechin and Jean-Michel Muller}, CHAPTER = {Arithm{\'e}tique flottante}, publisher = {Herm{\`e}s}, title = {Arithm{\'e}tique et calcul sur machine}, year = 2001 } @ARTICLE{DauDinTis01, author = {Marc Daumas and Florent de~Dinechin and Arnaud Tisserand}, journal = {R{\'e}seaux et Syst{\`e}mes R{\'e}partis, Calculateurs Parall{\`e}les}, number = 3, title = {L'arithm{\'e}tique des ordinateurs aujourd'hui}, pages = {219-227}, volume = 13, year = 2001 } @inproceedings{DauDurToc94, author = {Marc Daumas and J{\'e}r{\^o}me Durand and Louis-Pascal Tock}, address = {Concepcion, Chile}, booktitle = {XIVth International Conference of the Chilean Computer Science Society}, title = {High speed implementation of cellular automaton}, year = {1994}, crindex = {Fichier, Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/TR/TR96/TR96-01.ps.Z} } @ARTICLE{DauEvr2K, author = {Marc Daumas and Paraskevas Evripidou}, journal = {International Journal of Parallel Programming}, pages = {103-131}, number = 1, volume = 28, title = {Parallel implementation of the selection problem: a case study}, year = 2000, crindex = {Fichier}, url = {http://www.wkap.nl/article.pdf?221204} } @inproceedings{DauEvr93, author = {Marc Daumas and Paraskevas Evripidou}, address = {Orlando, Florida}, booktitle = {Architecture and Compilation Techniques for Fine and Medium Grain Parallelism}, editor = {Michel Cosnard and K. Ebcioglu and Jean Luc Gaudiot}, pages = {265-272}, title = {Parallel implementation of the selection problem using sisal}, year = 1993, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/users/LIP/daumas/publi/pact93.ps} } @inproceedings{DauFin98, author = {Marc Daumas and Claire Finot}, address = {Budapest, Hungaria}, booktitle = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, pages = {45-46}, title = {Division of floating point expansions}, year = {1998}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1999/RR1999-03.ps.Z} } @ARTICLE{DauFin99a, author = {Marc Daumas and Claire Finot}, number = 6, volume = 5, pages = {323-338}, journal = {Journal of Universal Computer Science}, title = {Division of floating point expansions with an application to the computation of a determinant}, year = 1999, crindex = {Fichier}, url = {http://www.jucs.org/jucs_5_6/division_of_floating_point} } @TECHREPORT{DauFin99b, author = {Daumas, Marc and Claire Finot}, address = {Le Chesnay, France}, institution = {Institut National de Recherche en Informatique et en Automatique}, number = {3771}, title = {Algorithm, Proof and Performances of a new Division of Floating Point Expansions}, type = {Research report}, year = {1999}, crindex = {Fichier, Classeur}, url = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-3771.pdf} } @inproceedings{DauLan01, author = {Daumas, Marc and Langlois, Philippe}, address = {Rabat, Morocco}, booktitle = {Alg{\`e}bre Lin{\'e}aire et Arithm{\'e}tique~: Calcul Num{\'e}rique, Symbolique et Parall{\`e}le}, pages = {189-194}, title = {From $x$ to $z$ with finite precision addition}, year = 2001, crindex = {Fichier} } @article{DauLan03, author = {Daumas, Marc and Langlois, Philippe}, title = {Additive symmetries: the non-negative case}, journal = TCS:journal, volume = 291, number = 2, pages = {143-157}, year = 2003, crindex = {Fichier}, url = {http://dx.doi.org/10.1016/S0304-3975(02)00223-2}, url.alt = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-4115.pdf} } @inproceedings{DauLan2K, author = {Daumas, Marc and Langlois, Philippe}, address = {Besançon, France}, booktitle = {6{\`e}me Symposium sur les Architectures Nouvelles de Machines}, title = {Choix d'un support architectural pour le produit scalaire}, year = {2000}, pages = {15-23}, crindex = {Fichier et Transparents}, url = {http://www.ens-lyon.fr/LIP/Sympa/Sympa6/01.pdf} } @PROCEEDINGS{DauLavLitMulSai2K, address = {Besançon, France}, editor = {Marc Daumas and Dominique Lavenier and Daniel Litaize and Jean-Michel Muller and Pascal Sainrat}, title = {6{\`e}me Symposium sur les Architectures Nouvelles de Machines}, year = {2000}, crindex = {Livre} } @ARTICLE{DauMat03, author = {Marc Daumas and David W. Matula}, journal = {Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology}, pages = {7-18}, title = {Further reducing the redundancy of a notation over a minimally redundant digit set}, volume = 28, number = {1-2}, year = 2003, crindex = {Fichier}, url = {http://dx.doi.org/10.1023/A:1021133616373}, url.alt = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-3886.pdf} } @inproceedings{DauMat2K, author = {Marc Daumas and David W. Matula}, title = {A {B}ooth multiplier accepting both a redundant or a non-redundant input with no additional delay}, pages = {205-214}, year = {2000}, address = ASAP2K:address, booktitle = ASAP2K:booktitle, editor = ASAP2K:editor, crindex = ASAP2K:HOW, url = {http://perso.ens-lyon.fr/marc.daumas/HardArith/DauMat2K.pdf} } @inproceedings{DauMat93a, author = {Marc Daumas and David W. Matula}, pages = {62-69}, title = {Design of a fast validated dot product operation}, year = {1993}, address = ARITH93:address, booktitle = ARITH93:booktitle, editor = ARITH93:editor, crindex = {Livre, Fichier}, url = {http://perso.ens-lyon.fr/marc.daumas/HardArith/DauMat93a.ps.gz} } @inproceedings{DauMat93b, author = {Marc Daumas and David W. Matula}, address = {Vienna, Austria}, booktitle = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {Rounding of floating point intervals}, year = {1993}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR93/RR93-06.ps.Z} } @ARTICLE{DauMat94, author = {Marc Daumas and David W. Matula}, journal = {Interval Computations}, number = {4}, pages = {28-45}, title = {Rounding of floating point intervals}, year = {1994}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR93/RR93-06.ps.Z} } @TECHREPORT{DauMat97a, author = {Marc Daumas and David W. Matula}, address = {Lyon, France}, institution = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {97-01}, title = {Recoders for partial compression and rounding}, TYPE = {Research report}, year = {1997}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-01.ps.Z} } @ARTICLE{DauMat97b, author = {Marc Daumas and David W. Matula}, journal = IEEETC:journal, number = {5}, pages = {623-629}, title = {Validated roundings of dot products by sticky accumulation}, volume = {46}, year = {1997}, crindex = {Fichier}, url = {http://perso.ens-lyon.fr/marc.daumas/HardArith/DauMat97b.pdf} } @inproceedings{DauMazMerMul94, author = {Marc Daumas and Christophe Mazenc and Xavier Merrheim and Jean-Michel Muller}, address = {Atlanta, Georgia}, booktitle = {Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics}, pages = {1196-1198}, title = {Fast and accurate range reduction for computation of the elementary functions}, year = {1994}, crindex = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR95/RR95-03.ps.Z} } @ARTICLE{DauMazMerMul95, author = {Marc Daumas and Christophe Mazenc and Xavier Merrheim and Jean-Michel Muller}, journal = {Journal of Universal Computer Science}, number = 3, pages = {162-175}, title = {Modular range reduction: a new algorithm for fast and accurate computation of the elementary functions}, volume = 1, year = 1995, crindex = {Fichier}, url = {http://www.jucs.org/jucs_1_3/modular_range_reduction} } @inproceedings{DauMazMul93, author = {Marc Daumas and Christophe Mazenc and Jean Michel Muller}, address = {Vienna, Austria}, booktitle = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {User transparent interval arithmetic}, year = {1993}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR94/RR94-02.ps.Z} } @ARTICLE{DauMazMul94, author = {Marc Daumas and Christophe Mazenc and Jean-Michel Muller}, journal = {Interval Computations}, number = {4}, pages = {46-63}, title = {Towards a user transparent interval arithmetic}, year = {1994}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR94/RR94-02.ps.Z} } @PROCEEDINGS{DauMigMulTis97, address = {Lyon, France}, editor = {Marc Daumas and Anne Mignotte and Jean-Michel Muller and Arnaud Tisserand}, title = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, year = {1997}, crindex = {Livre} } @inproceedings{DauMor2K, author = {Marc Daumas and Claire Moreau-Finot}, address = {Dagstuhl, Germany}, booktitle = {Real Numbers and Computers}, pages = {61-74}, title = {Exponential: implementation trade-offs for hundred bit precision}, crindex = {Livre, Fichier}, year = 2000, url = {http://www.dagstuhl.de/DATA/Events/00/00162.proceedings/papers/p13.ps} } @inproceedings{DauMorMul2K, author = {Marc Daumas and Claire Finot and Jean Michel Muller}, address = {Lausanne, Switzerland}, booktitle = {Proceedings of the 16th IMACS World Congress on Computational and Applied Mathematics}, title = {Table based implementation of elementary functions for hundred-bit precision}, year = {2000}, crindex = {Fichier} } @techreport{DauMorThe01, author = {Daumas, Marc and Moreau-Finot, Claire and Thery, Laurent}, address = {Le Chesnay, France}, institution = INRIA:INST, number = 4095, title = {Computer validated proofs of a toolset for adaptable arithmetic}, type = {Research report}, year = 2001, crindex = {Fichier}, location = {http://www.inria.fr/RRRT/RR-4095.html} } @BOOK{DauMul97, editor = {Marc Daumas and Jean-Michel Muller}, publisher = {Masson}, title = {Qualit{\'e} des calculs sur ordinateur~: vers des arithm{\'e}tiques plus fiables}, year = 1997, crindex = {Livre}, url = {http://www.ens-lyon.fr/~jmmuller/livre_masson.html} } @TECHREPORT{DauMul98, author = {Marc Daumas and Jean-Michel Muller}, address = {Lyon, France}, institution = {Laboratoire de l'Informatique du Parall{\'e}lisme}, note = {Confidentiel}, title = {Utilisation de l'arithm{\'e}tique flottante dans un environnement embarqu{\'e}}, TYPE = {Rapport d'{\'e}tude}, year = {1998}, crindex = {Classeur dont transparents} } @inproceedings{DauMulTis96, author = {Marc Daumas and Jean-Michel Muller and Arnaud Tisserand}, address = {Lille, France}, booktitle = {Computational Engineering in Systems Applications, IMACS Multiconference}, pages = {1133-1138}, title = {Theoretical support for standardized elementary functions}, year = {1996}, crindex = {Classeur} } @inproceedings{DauMulTis97, author = {Marc Daumas and Jean-Michel Muller and Arnaud Tisserand}, address = {Berlin, Germany}, booktitle = {Proceedings of the 15th IMACS World Congress on Computational and Applied Mathematics}, pages = {347-352}, title = {Very high radix on-line arithmetic for accurate computations}, volume = {2}, year = {1997}, crindex = {Fichier, Livre, Transparents} } @inproceedings{DauMulVui94, author = {Marc Daumas and Jean-Michel Muller and Jean Vuillemin}, address = {Prague, Czech Republic}, booktitle = {Field-Programmable Logic: Architectures Synthesis and Applications}, editor = {Reiner W. Hartenstein and Michael Z. Serv{\'\i}t}, pages = {196-207}, publisher = {Springer Verlag}, title = {Implementing on-line arithmetic on {PAM}}, year = {1994}, crindex = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR94/RR94-25.ps.Z} } @inproceedings{DauNegZim99, author = {Marc Daumas and Andy Nego\"i and Jacques Zimmermann}, address = {Rennes, France}, booktitle = {5{\`e}me Symposium sur les Architectures Nouvelles de Machines}, title = {Un tout petit syst{\`e}me pour la simulation num{\'e}rique}, year = {1999}, pages = {27-36}, crindex = {Fichier, Livre et Transparents}, url = {http://www.ens-lyon.fr/LIP/Sympa/Sympa5/p027.pdf} } @inproceedings{DauRidThe01, author = {Marc Daumas and Laurence Rideau and Laurent Th{\'e}ry}, address = {Edinburgh, Scotland}, booktitle = {14th International Conference on Theorem Proving in Higher Order Logics}, title = {A generic library of floating-point numbers and its application to exact computing}, pages = {169-184}, year = 2001, crindex = {Fichier}, url = {http://hal.archives-ouvertes.fr/hal-00157285}, url.alt = {http://link.springer.de/link/service/series/0558/bibs/2152/21520169.htm} } @InBook{DauMul04, author = {Marc Daumas and Jean-Michel Muller}, editor = {Jean-Michel Muller and Jean-Claude Bajard}, title = {Calcul et arithmétique des ordinateurs}, chapter = {Représentation des nombres}, publisher = {Hermes}, year = 2004, pages = {25-57}, crindex = {Livre}, url = {http://www.lavoisier.fr/fr/livres/index.asp?texte=2746208610&select=isbn} } @inproceedings{DauMel04, author = {Marc Daumas and Guillaume Melquiond}, address = {Dagstuhl, Germany}, booktitle = {Real Numbers and Computers}, title = {Generating formally certified bounds on values and round-off errors}, pages = {55-70}, year = 2004, url = {http://hal.inria.fr/inria-00070739} } @inproceedings{DauMelMun05, author = {Marc Daumas and Guillaume Melquiond and César Muñoz}, title = {Guaranteed proofs using interval arithmetic}, year = 2005, pages = {188-195}, address = ARITH05:ADDRESS, booktitle = ARITH05:BOOKTITLE, editor = ARITH05:EDITOR, url = {http://hal.archives-ouvertes.fr/hal-00164621}, crindex = ARITH05:HOW } @Article{DauLesMun09, author = {Marc Daumas and David Lester and César Muñoz}, title = {Verified Real Number Calculations: A Library for Interval Arithmetic}, journal = IEEETC:journal, year = 2009, volume = 58, number = 2, pages = {226-237}, url = {http://dx.doi.org/10.1109/TC.2008.213} } @InBook{Dau05, author = {Marc Daumas}, editor = {Denis Trystram and Yahia Slimani and Mohamed Jemni}, title = {Informatique répartie}, chapter = {Implantations de la norme IEEE 754 de l'arithmétique à virgule flottante}, publisher = {Hermès}, pages = {227-244}, year = 2005 } @inproceedings{ChaDau06, author = {Francisco Ch\'aves and Marc Daumas}, address = {Savannah, Georgia}, booktitle = {Proceedings of the NSF workshop on reliable engineering computing}, title = {A Library to {T}aylor models for {PVS} automatic proof checker}, pages = {39-52}, year = 2006, url = {http://www.gtsav.gatech.edu/workshop/rec06/papers/Chaves_paper.pdf}, url.alt = {http://hal.ccsd.cnrs.fr/ccsd-00018529} } @TECHREPORT{BriDauLanMar06, author = {Nicolas Brisebarre and Daumas, Marc and Philippe Langlois and Matthieu Martel}, address = {Villeurbanne, France}, institution = {Centre pour la Communication Scientifique et Directe}, title = {Survol et limitations des modèles discrets-continus pour la sûreté numérique}, year = 2006 } @inproceedings{DauDagDef06, author = {Marc Daumas and Guillaume Da Graça and David Defour}, title = {Caractéristiques arithmétiques des processeurs graphiques}, booktitle = {Symposium en Architecture de Machines}, address = {Canet en Roussillon, France}, year = 2006, url = {http://hal.ccsd.cnrs.fr/ccsd-00069622} } @inproceedings{DauLes07, author = {Marc Daumas and David Lester}, title = {Stochastic formal methods: an application to accuracy of numeric software}, booktitle = {Proceedings of the 40th IEEE Annual Hawaii International Conference on System Sciences}, address = {Waikoloa, Hawaii}, pages = {7~p}, year = 2007, url = {http://hal.ccsd.cnrs.fr/ccsd-00081413} } @inproceedings{BolDauKahMel06, author = {Sylvie Boldo and Marc Daumas and William Kahan and Guillaume Melquiond}, address = {Duisburg, Germany}, booktitle = {IMACS-GAMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {Proof and certification for an accurate discriminant}, year = 2006, url = {http://scan2006.uni-due.de/show_abstracts.php?title=+Proof+and+certification+for+an+accurate+discriminant} } @inproceedings{ChaDauMunRev07, author = {Francisco Cháves and Marc Daumas and César Muñoz and Nathalie Revol}, address = {Zurich, Switzerland}, booktitle = {6th International Congress on Industrial and Applied Mathematics}, title = {Automatic strategies to evaluate formulas on {T}aylor models and generate proofs in {PVS}}, year = 2007, url = {http://www.iciam07.ch/} } @Article{DauMel10, author = {Marc Daumas and Guillaume Melquiond}, title = {Certification of bounds on expressions involving rounded operators}, journal = {ACM Transactions on Mathematical Software}, year = {2010}, volume = 37, number = 1, url = {http://hal.archives-ouvertes.fr/hal-00127769}, note = {To appear} } @inproceedings{ColDauDef07, author = {Sylvain Collange and Marc Daumas and David Defour}, title = {Graphic processors to speed-up simulations for the design of high performance solar receptors}, booktitle = {IEEE 18th International Conference on Application-specific Systems, Architectures and Processors}, year = 2007, address = {Montréal, Québec}, pages = {377-382}, url = {http://hal.archives-ouvertes.fr/hal-00135126} } @Article{ColDauDef08a, author = {Sylvain Collange and Marc Daumas and David Defour}, title = {Line-by-line spectroscopic simulations on graphics processing units}, journal = {Computer Physics Communications}, year = 2008, volume = 178, number = 2, pages = {135-143}, url = {http://dx.doi.org/10.1016/j.cpc.2007.08.013} } @Article{ColDauDef08b, author = {Sylvain Collange and Marc Daumas and David Defour}, title = {État de l'intégration de la virgule flottante dans les processeurs graphiques}, journal = {Technique et Science Informatiques}, year = 2008, volume = 27, number = 6, pages = {719-733}, url = {http://dx.doi.org/10.3166/tsi.27.719-733} } @inproceedings{ColDauDefOli08, author = {Sylvain Collange and Marc Daumas and David Defour and Régis Olivès}, title = {Fonctions élémentaires sur GPU exploitant la localité de valeurs}, pages = {12~p}, booktitle = {Symposium en Architectures nouvelles de machines}, address = {Frigourg, Switzerland}, year = 2008, url = {http://hal.archives-ouvertes.fr/hal-00202906/fr/} } @inproceedings{ColDanDauDef09, author = {Sylvain Collange and Yoginder Dandass and Marc Daumas and David Defour}, title = {Using graphics processors for parallelizing hash-based data carving}, booktitle = {Proceedings of the 42th IEEE Annual Hawaii International Conference on System Sciences}, address = {Waikoloa, Hawaii}, pages = {10~p}, year = 2009, url = {http://hal.archives-ouvertes.fr/hal-00350962/fr/}, url.alt = {http://doi.ieeecomputersociety.org/10.1109/HICSS.2009.1010} } @inproceedings{BolDauGio08, author = {Sylvie Boldo and Marc Daumas and Pascal Giorgi}, address = {Santiago de Compostela, Spain}, booktitle = {Real Numbers and Computers}, title = {Formal proof for delayed finite field arithmetic using floating point operators}, year = 2008, pages = {113-122}, url = {http://hal.archives-ouvertes.fr/hal-00135090} } @InProceedings{DauLesMarTru09, author = {Marc Daumas and David Lester and Martin-Dorel, Érik and Annick Truffert}, title = {Stochastic formal correctness of numerical algorithms}, booktitle = {NASA Formal Methods Symposium}, year = 2009, pages = {136-145}, url = {http://ti.arc.nasa.gov/m/event/nfm09/NFM09Proceedings.pdf}, url.alt = {http://hal.archives-ouvertes.fr/hal-00107495} } @InProceedings{DauMarTru09, author = {Marc Daumas and Martin-Dorel, Érik and Annick Truffert}, title = {Bornes quasi-certaines sur l'accumulation d'erreurs infimes dans les systèmes hybrides}, booktitle = {MAnifestation des JEunes Chercheurs en Sciences et Technologies de l'Information et de la Communication}, year = 2009, address = {Avignon, France} } @TechReport{DauMarTru08, author = {Marc Daumas and David Lester and Martin-Dorel, Érik and Annick Truffert}, title = {Bornes quasi-certaines sur l'accumulation d'erreurs infimes dans les systèmes hybrides}, institution = {Centre pour la Communication Scientifique Directe}, year = 2008, number = {hal-00333895}, address = {Villeurbanne, France}, url = {http://hal.archives-ouvertes.fr/hal-00333895} } @inproceedings{Cow03, author = {Michael F. Cowlishaw}, title = {decimal floating point: algorism for computers}, pages = {104-111}, year = 2003, booktitle = ARITH03:BOOKTITLE, editor = ARITH03:EDITOR, address = ARITH03:ADDRESS, crindex = ARITH03:HOW, url = ARITH03:URL } @proceedings{BurCim01, publisher = {IEEE Computer Society Press}, year = 2001, title = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{LanMul01, author = {Lang, Thomas and Muller, Jean-Michel}, title = {Bound on run of zeros and ones for algebraic functions}, pages = {13-20}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{PinBruMul01a, author = {Pi{\~n}eiro, Jos{\'e} Alejandro and Bruguera, Javier D. and Muller, Jean-Michel}, title = {Faithful powering computation using table look-up and a fused accumulation tree}, pages = {40-47}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{LefMul01a, author = {Lef{\`e}vre, Vincent and Muller, Jean-Michel}, title = {Worst cases for correct rounding of the elementary functions in double precision}, pages = {111-118}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{DinTis01, author = {de Dinechin, Florent and Tisserand, Arnaud}, title = {Some improvements on multipartite table methods}, pages = {128-135}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{CowSchSmiWeb01, author = {Michael F. Cowlishaw and Eric M. Schwarz and Ronald M. Smith and Charles F. Webb}, title = {A decimal floating point specification}, pages = {147-154}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @inproceedings{HidLiBai01, author = {Hida, Yozo and Li, Xiaoye S. and Bailey, David H.}, title = {Algorithms for quad-double precision floating point arithmetic}, pages = {155-162}, year = 2001, booktitle = ARITH01:BOOKTITLE, editor = ARITH01:EDITOR, address = ARITH01:ADDRESS, crindex = ARITH01:HOW, url = ARITH01:URL } @proceedings{KorKor99, publisher = {IEEE Computer Society Press}, year = 1999, title = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @inproceedings{StoTan99, author = {Story, Shane and Tang, Ping Tak Peter}, title = {New algorithms for imporved transcendental function on {IA}-64}, pages = {4-11}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @inproceedings{CorGolMar99, author = {Cornea-Hasegan, Marius A. and Golliver, Roger A. and Markstein, Peter}, title = {Correctness proofs outline for {N}ewton-{R}aphson based floating point divide and square root algorithms}, pages = {96-105}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @inproceedings{Kor99, author = {Kornerup, Peter}, title = {Necessary and sufficient conditions for parallel, constant time conversion and addition}, pages = {152-156}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @inproceedings{EveSei99, author = {Guy Even and Peter-Michael Seidel}, title = {A comparison of three rounding algorithms for {IEEE} floating-point multiplication}, pages = {225-232}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @inproceedings{Par99, author = {Parks, Michael}, title = {Number theoretic test generation for directed rounding}, pages = {241-248}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @comment{Dau99a, author = {Daumas, Marc}, title = {Multiplications of floating point expansions}, pages = {250-257}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = {http://www.ens-lyon.fr/~daumas/SoftArith/Dau99.pdf}, url.alt = ARITH99:URL } @inproceedings{SchSmiKry99, author = {Eric M. Schwarz and Ronald M. Smith and Christopher A. Krygowski}, title = {The {S}/390 {G}5 floating point unit supporting hex and binary architectures}, pages = {258-265}, year = 1999, booktitle = ARITH99:BOOKTITLE, editor = ARITH99:EDITOR, address = ARITH99:ADDRESS, crindex = ARITH99:HOW, url = ARITH99:URL } @proceedings{LanMulTak97, publisher = {IEEE Computer Society Press}, year = 1997, title = ARITH97:BOOKTITLE, editor = ARITH97:EDITOR, address = ARITH97:ADDRESS, crindex = ARITH97:HOW, url = ARITH97:URL } @inproceedings{EvePau97, author = {Guy Even and Wolfgang Paul}, pages = {54-63}, title = {On the design of {IEEE} compliant floating point units}, year = 1997, booktitle = ARITH97:BOOKTITLE, editor = ARITH97:EDITOR, address = ARITH97:ADDRESS, crindex = ARITH97:HOW, url = ARITH97:URL } @inproceedings{LefMulTis97, author = {Vincent Lef{\`e}vre and Jean-Michel Muller and Arnaud Tisserand}, title = {Towards correctly rounded transcendentals}, pages = {132-137}, year = 1997, booktitle = ARITH97:BOOKTITLE, editor = ARITH97:EDITOR, address = ARITH97:ADDRESS, crindex = ARITH97:HOW, url = ARITH97:URL } @inproceedings{MatNie97, author = {David W. Matula and Asger Munk Nielsen}, title = {Pipelined packet-forwarding floating point: {I}. foundations and a rounder}, pages = {140-147}, year = 1997, booktitle = ARITH97:BOOKTITLE, editor = ARITH97:EDITOR, address = ARITH97:ADDRESS, crindex = ARITH97:HOW, url = ARITH97:URL } @inproceedings{NieMatLyuEve97, author = {Asger Munk Nielsen and David W. Matula and Chung Nan Lyu and Guy Even}, title = {Pipelined packet-forwarding floating point: {I}. an adder}, pages = {148-155}, year = 1997, booktitle = ARITH97:BOOKTITLE, editor = ARITH97:EDITOR, address = ARITH97:ADDRESS, crindex = ARITH97:HOW, url = ARITH97:URL } @proceedings{KnoMcA95, publisher = {IEEE Computer Society Press}, year = 1995, title = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{HasTak95, author = {Hassler, Hannes and Takagi, Naofumi}, pages = {10-16}, title = {Function evaluation by table look-up and addition}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{LyuMat95, author = {Lyu, Chung Nan and Matula, David W.}, pages = {50-57}, title = {Redundant binary {B}ooth recoding}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{DasMat95a, author = {Das Sarma, Debjit and Matula, David W.}, pages = {17-28}, title = {Faithful bipartite {ROM} reciprocal tables}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{WeiDuChe95, author = {Wei, Belle W. Y. and Du, He and Chen, Honglu}, pages = {84-90}, title = {A complex number multiplier using radix 4 digits}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{YuZin95, author = {Robert K. Yu and Gregory B. Zyner}, pages = {149-154}, title = {167 MHz Radix-4 floating point multiplier}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL } @inproceedings{MulTisSch95, author = {Muller, Jean-Michel and Tisserand, Arnaud and Scherbyna, Alexandre}, pages = {201-207}, title = {Semi-logarithmic number systems}, year = 1995, booktitle = ARITH95:BOOKTITLE, editor = ARITH95:EDITOR, address = ARITH95:ADDRESS, crindex = ARITH95:HOW, url = ARITH95:URL, url.alt = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR95/RR95-04.ps.Z} } @inproceedings{FahFly03, author = {Hossam A. H. Fahmy and Michael J. Flynn}, title = {The case for a redundant format in floating point arithmetic}, pages = {95-102}, year = 2003, address = ARITH03:ADDRESS, booktitle = ARITH03:BOOKTITLE, editor = ARITH03:EDITOR, crindex = ARITH03:HOW, url = {http://csdl.computer.org/dl/proceedings/arith/2003/1894/00/18940095.pdf}, myref = {DauMat03} } @inproceedings{ArnGarSch03, author = {Mark G. Arnold and Jesus Garcia and Michael J. Schulte}, title = {The interval logarithmic number system}, pages = {253-261}, year = 2003, address = ARITH03:ADDRESS, booktitle = ARITH03:BOOKTITLE, editor = ARITH03:EDITOR, crindex = ARITH03:HOW, url = {http://doi.ieeecomputersociety.org/10.1109/ARITH.2003.1207686}, myref = {DauMat94} } @inproceedings{BolMul05, author = {Sylvie Boldo and Jean-Michel Muller}, title = {Some Functions Computable with a Fused-mac}, pages = {52-58}, year = 2005, address = ARITH05:ADDRESS, booktitle = ARITH05:BOOKTITLE, editor = ARITH05:EDITOR, crindex = ARITH05:HOW, url = ARITH05:URL } @inproceedings{BolFil07, author = {Sylvie Boldo and Jean-Christophe Filliâtre}, title = {Formal verification of floating point programs}, year = 2007, address = ARITH07:ADDRESS, booktitle = ARITH07:BOOKTITLE, crindex = ARITH07:HOW } @ARTICLE{CiaDiG06, author = {Alberto Ciaffaglione and Di Gianantonio, Pietro}, journal = TCS:JOURNAL, volume = 351, number = 1, pages = {39-51}, title = {A certified, corecursive implementation of exact real numbers}, year = 2006, url = {http://dx.doi.org/10.1016/j.tcs.2005.09.061}, CRINDEX = TCS:HOW } @ARTICLE{HugNiq06, author = {Jesse Hughes and Milad Niqui}, journal = TCS:JOURNAL, volume = 351, number = 1, pages = {61-73}, title = {Admissible digit sets}, year = 2006, url = {http://dx.doi.org/10.1016/j.tcs.2005.09.059}, CRINDEX = TCS:HOW } @phdthesis{Baj93, author = {Bajard, Jean-Claude}, school = {Universit{\'e} Claude Bernard}, address = {Lyon, France}, title = {Evaluation de fonctions dans des syst{\`e}mes redondants d'{\'e}criture des nombres}, year = 1993, crindex = {Bo{\^\i}te} } @INPROCEEDINGS{BajDidMul96, author = {Bajard, Jean-Claude and Laurent Sth{\'e}phane Didier and Jean-Michel Muller}, address = {Chicago, Illinois}, booktitle = {Proceedings of ASAP'96}, publisher = {IEEE Computer Society Press}, title = {A new {E}uclidean division algorithm for residue number systems}, pages = {45-54}, year = 1996, crindex = {Fichier}, url = {http://dlib.computer.org/conferen/asap/7542/pdf/75420045.pdf} } @ARTICLE{BajDidMul98, author = {Bajard, Jean-Claude and Laurent Sth{\'e}phane Didier and Jean-Michel Muller}, journal = {Journal of VLSI Signal Processing}, title = {A new {E}uclidean division algorithm for residue number systems}, volume = 19, pages = {167-178}, number = 2, year = 1998, crindex = {Fichier}, url = {http://www.wkap.nl/article.pdf?167703} } @ARTICLE{BajDupKlaMul94, author = {Bajard, Jean-Claude Bajard and Jean Duprat and Sylvanus Kla and Jean-Michel Muller}, journal = {Journal of Parallel and Distributed Computing}, number = {2}, pages = {336-345}, title = {Some operators for on-line radix 2 computations}, volume = {22}, year = {1994}, CRINDEX = {Classeur} } @ARTICLE{BajFroMulVil96, author = {Bajard, Jean-Claude Bajard and Christiane Frougny and Jean-Michel Muller and Gilles Villard}, journal = TCS:JOURNAL, NOTE = {Guest editors}, title = {Special issue on real numbers and computers}, year = 1996, url = TCS:URL, CRINDEX = TCS:HOW } @INPROCEEDINGS{BajGuyMulSka92, author = {Bajard, Jean-Claude and Alain Guyot and Jean-Michel Muller and Ali Skaf}, address = {Monastir, Tunisie}, booktitle = {International Conference on Micro-Electronics}, title = {On-line approximation of real functions using polynomials}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{BajGuyMulSka93a, author = {Bajard, Jean-Claude and Alain Guyot and Jean-Michel Muller and Ali Skaf}, address = {Venice, Italy}, booktitle = {International Conference on Application-Specific Array Processors}, pages = {526-535}, title = {Design of a {VLSI} circuit for on-line evaluation of several elementary functions using their {T}aylor expansion}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{BajGuyMulSka93b, author = {Bajard, Jean-Claude and Alain Guyot and Jean-Michel Muller and Ali Skaf}, address = {Grenoble, France}, booktitle = {{VLSI} 93}, title = {A {VLSI} circuit for on-line polynomial computing: application to exponential, trigonometric and hyperbolic functions}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{BajKlaMul93, author = {Bajard, Jean-Claude and Sylvanus Kla and Jean-Michel Muller}, pages = {146-153}, title = {{BKM}: a new hardware algorithm for complex elementary functions}, year = {1993}, address = ARITH93:address, booktitle = ARITH93:booktitle, EDITOR = ARITH93:EDITOR, CRINDEX = ARITH93:HOW } @ARTICLE{BajKlaMul94, author = {Bajard, Jean-Claude and Sylvanus Kla and Jean-Michel Muller}, journal = IEEETC:JOURNAL, number = {8}, pages = {955-963}, title = {{BKM}: a new hardware algorithm for complex elementary functions}, volume = {43}, year = {1994}, crindex = IEEETC:43:8:HOW, url = IEEETC:43:8:URL } @PROCEEDINGS{BajMicMorMul95a, address = {Saint-Etienne, France}, EDITOR = {Jean-Claude Bajard and Dominique Michelucci and Jean-Michel Moreau and Jean-Michel Muller}, title = {Real Numbers and Computers --- Les Nombres r{\'e}els et l'Ordinateur}, year = {1995}, CRINDEX = {Livre} } @ARTICLE{BajMicMorMul95b, author = {Jean-Claude Bajard and Dominique Michelucci and Jean-Michel Moreau and Jean-Michel Muller}, journal = {Journal of Universal Computer Science}, NOTE = {Guest editors}, title = {Special issue on real numbers and computers}, year = {1995}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{BajMul92a, author = {Jean-Claude Bajard and Jean-Michel Muller}, address = {Boston, Massachussets}, booktitle = {International Conference on Signal Processing Application \& Technology}, title = {A new {VLSI} architecture for fast on-line evaluation of power series}, year = {1992}, CRINDEX = {Manquant} } @INPROCEEDINGS{BajMul92b, author = {Jean-Claude Bajard and Jean-Michel Muller}, address = {Rabat, Maroc}, booktitle = {Actes des Premi{\`e}res Journ{\'e}es de Math{\'e}matiques Appliqu{\'e}es}, title = {Calcul en-ligne~: parall{\'e}lisme {\`a} grain ultra fin pour une arithm{\'e}tique rapide}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @MASTERSTHESIS{Ber96, author = {David Berthelot}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Calcul en ligne sur les flots de chiffres}, year = {1996}, CRINDEX = {Classeur} } @INPROCEEDINGS{BerMigKhaSau94, author = {M-C Bertrand and Anne Mignotte and O. Khalid and Gabrielle Saucier}, address = {Berkeley, California}, booktitle = {2nd International ACM/SIGDA Workshop on Field Programmable Gate Arrays}, title = {{RTL} synthesis system using {FPGA} macro block capabilities}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{Bes93a, author = {Hamid Bessalah}, address = {Vienna, Austria}, booktitle = {IMACS-GAMMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {On-line and half-line computation of orthogonal transforms}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @TECHREPORT{Bes93b, author = {Hamid Bessalah}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {93-41}, title = {Multi-dimensional pipeline and array architectures for the on-line computation of the fast orthogonal transforms}, TYPE = {Research report}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @MASTERSTHESIS{Bol01, author = {Sylvie Boldo}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Preuves formelles certifi{\'e}es pour l'arithm{\'e}tique flottante}, year = {2001}, CRINDEX = {En attente} } @PROCEEDINGS{BouFraMigRob96, address = {Lyon, France}, EDITOR = {Luc Boug{\'e} and Pierre Fraigniaud and Anne Mignotte and Yves Robert}, number = {1124-1123}, publisher = {Springer Verlag}, title = {EuroPar'96, Parallel Processing}, volume = {Lecture Note in Computer Science}, year = {1996}, CRINDEX = {Livre} } @BOOK{BouKenMulRob93, author = {Luc Boug{\'e} and Claire Kenyon and Jean-Michel Muller and Yves Robert}, title = {Algorithmique~: exercices corrig{\'e}s}, publisher = {Ellipses}, year = {1993}, CRINDEX = {Biblioth{\`e}que ENS Lyon} } @INPROCEEDINGS{CalMigPeyRobViv97, author = {Pierre Yves Calland and Anne Mignotte and Olivier Peyran and Yves Robert and Fr{\'e}d{\'e}ric Vivien}, address = {Austin, Texas}, booktitle = {International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems}, title = {Retiming {DAG}s}, year = {1997} } @INPROCEEDINGS{CorDupHocMul91, author = {G. Corbaz and Jean Duprat and Bertrand Hochet and Jean-Michel Muller}, booktitle = {International Conference on Application-Specific Array Processors}, title = {Implementation of a {VLSI} polynomial evaluator for real-time applications}, year = {1991}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{CosGuyHocMulOuaPauZys87, author = {Michel Cosnard and Alain Guyot and Bertrand Hochet and Jean-Michel Muller and H. Ouaouicha and P. Paul and E. Zysman}, address = {Como, Italy}, booktitle = {Proceedings of the 8th Symposium on Computer Arithmetic}, EDITOR = {Mary Jane Irwin and Renato Stefanelli}, pages = {107-112}, publisher = {IEEE Computer Society Press}, title = {The {FELIN} arithmetic coprocessor chip}, year = {1987}, CRINDEX = {Livre JM2} } @INPROCEEDINGS{CosGuyHocMulOuaZys85, author = {Michel Cosnard and Alain Guyot and Bertrand Hochet and Jean-Michel Muller and H. Ouaouicha and E. Zysman}, address = {Grenoble, France}, booktitle = {Computers and Computing}, pages = {301-305}, publisher = {Masson and Wiley \& Sons}, title = {{FELIN}: an elementary functions cruncher}, year = {1985}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @ARTICLE{CosMulRob86, author = {Michel Cosnard and Jean-Michel Muller and Yves Robert}, journal = {Numerische Mathematik}, pages = {239-249}, title = {Parallel {QR} decomposition of a rectangular matrix}, volume = {48}, year = {1986}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @inproceedings{DefKorMulRev01, author = {Defour, David and Kornerup, Peter and Muller, Jean-Michel and Revol, Nathalie}, title = {A new range reduction algorithm}, booktitle = {35th Asilomar Conference on Signals, Systems, and Computers}, pages = {1656-1660}, year = 2001, address = {Pacific Grove, California}, crindex = {Fichier} } @article{Din2Ka, author = {de Dinechin, Florent}, title = {The Price of Routing in {FPGA}s}, Journal = {Journal of Universal Computer Science}, Volume = 6, Number = 2, Pages = {227-239}, year = 2000, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}}, url = {http://www.jucs.org/jucs_6_2/the_price_of_routing} } @InProceedings{Din2Kb, author = {F. de Dinechin and V. Lef{\`e}vre}, title = {Constant Multipliers for {FPGA}s}, booktitle = {Second International Workshop on Engineering of Reconfigurable Hardware/Software Objects ({ENREGLE} 2000)}, address = {Las Vegas, USA}, year = {2000}, NOTE = {Also available as LIP research report 2000-18}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-18.ps.Z} } @TECHREPORT{Din2Kc, author = {Florent de Dinechin}, INSTITUTION = {Laboratoire de l'Informatique du Parall\'elisme}, number = {1999-50}, title = {Constant Multipliers for {FPGA}s}, year = 2000, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-18.ps.Z} } @INPROCEEDINGS{Din94a, author = {de Dinechin, Florent and Helmut Weberpals}, title = {Analysis of Parallel Algorithms for a Shared Virtual Memory Computer}, booktitle = {ParCo'93}, SERIES = {Advances in Parallel Computing}, publisher = {North-Holland}, pages = {719-723}, year = {1994} } @INPROCEEDINGS{Din95, author = {de Dinechin, Florent and Quinton, Patrice and Risset, Tanguy}, booktitle = {Massively Parallel Programming Models}, publisher = {IEEE Computer Society Press}, pages = {18-24}, title = {Structuration of the {{Alpha}} Language}, MONTH = aug, year = {1995}, address = {Berlin, Germany}, url = {http://www.ens-lyon.fr/~fdedinec/recherche/publis/mppm95.ps} } @INPROCEEDINGS{Din95b, author = {de Dinechin, Florent and Weberpals, Helmut}, title = {A Localized Parallel Sorting Algorithm and its Implementation}, booktitle = {ParCo'95}, SERIES = {Advances in Parallel Computing}, publisher = {North-Holland}, address = {Gent, Belgium}, year = {1996} } @INPROCEEDINGS{Din96a, author = {de Dinechin, Florent and Robert, Sophie}, booktitle = {Application Specific Array Processors}, ORGANIZATION = {IEEE Computer Society Press}, title = {Hierarchical Static Analysis of Structured Systems of Affine Recurrence Equations}, year = {1996}, address = {Chicago, Illinois}, url = {http://www.ens-lyon.fr/~fdedinec/recherche/publis/asap96.ps} } @INPROCEEDINGS{Din96b, author = {Rumen Andonov and de Dinechin, Florent and Sanjay Rajopadhye and Wilde, Doran}, booktitle = {International Workshop on Parallel Algorithms for Irregularly Structured Problems}, publisher = {Springer-Verlag Lecture Notes in Computer Science}, title = {A Regular {VLSI} Array for an Irregular Algorithm}, year = {1996}, url = {http://www.ens-lyon.fr/~fdedinec/recherche/publis/irreg96.ps} } @INPROCEEDINGS{Din96c, author = {de~Dinechin, Florent and Le~Mo\"{e}nner, Patricia}, title = {Automatic Synthesis of Regular Architectures Optimized at the Bit Level}, booktitle = {Workshop on Design Methodologies for Signal Processing}, address = {Zakopane, Poland}, year = {1996}, NOTE = {Also available as IRISA research report 1051} } @PhDThesis{Din97a, author = {Florent {Dupont de Dinechin}}, title = {Syst\`emes structur\'es d'\'equations r\'ecurrentes~: mise en \oe uvre dans le langage Alpha et applications}, type = {Th\`{e}se de doctorat}, school = {universit\'{e} de Rennes I}, year = 1997, month = jan, location = {http://www.irisa.fr/EXTERNE/bibli/theses/theses97/dupont/dupont.html} } @INPROCEEDINGS{Din97b, author = {de~Dinechin, Florent}, booktitle = {European Conference on Artificial Life}, address = {Brighton, UK}, publisher = {{MIT} Press/Bradford Books}, title = {Self-replication in a {2D} von {Neumann} Architecture}, year = {1997}, url = {http://www.ens-lyon.fr/~fdedinec/recherche/publis/ecal97.ps} } @INPROCEEDINGS{Din97c, author = {de Dinechin, Florent}, booktitle = {IEEE International Conference on Application-specific Systems, Architectures and Processors}, pages = {239-248}, title = {Libraries of schedule free operators in {A}lpha}, year = {1997}, address = {Zurich, Switzerland}, url = {http://dlib.computer.org/conferen/asap/7958/pdf/79580239.pdf}, CRINDEX = {Fichier} } @INPROCEEDINGS{Din97d, author = {de~Dinechin, Florent and Risset, Tanguy and Robert, Sophie }, booktitle = {Parallel Computing}, address = {Bonn, Germany}, Publisher = {Elsevier}, title = {Hierarchical Static Analysis for Improving the Complexity of Linear Algebra Algorithms}, year = {1997} } @TechReport{Din97e, author = {Tanguy Risset and Florent de~Dinechin and Sophie Robert}, title = {Structured Scheduling of Recurrence Equations}, institution = {INRIA}, year = {1997}, number = {3282}, note = {Submitted to JPDC. Also published as IRISA research report 1140.}, location = {http://www.inria.fr/RRRT/RR-3282.html} } @INPROCEEDINGS{Din98, author = {Luk, W. and Andreou, P. and Derbyshire, A. and de~Dinechin, F. and Rice, J. and Shirazi, N. and Siganos, D.}, booktitle = {Field Programmable Logic and Applications}, address = {Tallin, Estonia}, pages = {169-178}, title = {A reconfigurable engine for real-time video processing}, year = {1998} } @INPROCEEDINGS{Din99a, author = {de Dinechin, Florent}, booktitle = {FPGA'99}, address = {Monterey, California}, title = {Towards Adaptable Hierarchical Placement for {FPGA}s}, year = {1999}, NOTE = {Also available as INRIA RR-3776 and LIP RR1999-50}, url = {ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-3776.ps.gz} } @INPROCEEDINGS{Din99b, author = {de Dinechin, Florent}, booktitle = {5{\`e}me Symposium en Architecture Nouvelles de Machines}, address = {Rennes, France}, title = {Le prix du routage dans les {FPGAs}}, year = 1999 } @inproceedings{DinLef2K, author = {de Dinechin, Florent and Lef{\`e}vre, Vincent}, title = {Constant Multiplier for {FPGA}s}, booktitle = {Second International Workshop on Engineering of Reconfigurable Hardware Software Objects}, pages = {167-173}, volume = 1, address = {Las Vegas, Nevada}, year = 2000, crindex = {Fichier, Biblioth{\`e}que ENS Lyon}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR2000/RR2000-18.ps.Z} } @TECHREPORT{Dor93, author = {Robert W. Doran}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {93-42}, title = {Special cases of division}, TYPE = {Research report}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DorMul94, author = {Robert W. Doran and Jean-Michel Muller}, address = {Auckland, New Zealand}, booktitle = {Salodays Proceedings (in honour of Prof. Arto Salomaa)}, title = {Log depth circuits for the elementary functions}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupFia92, author = {Mario {Fiallos Aguilar} and Jean Duprat}, booktitle = {Parallel Processing: CONPAR 92 - VAPP~V; Second Joint Conference on Vector and Parallel Processing}, pages = {707-712}, publisher = {Springer-Verlag}, title = {On the simulation of pipelining of fully digit on-line n-point adder networks on massively parallel computers}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupFia94a, author = {Mario {Fiallos Aguilar} and Jean Duprat}, booktitle = {17th Australian Computer Science Conference}, EDITOR = {Australian computer society}, pages = {443-452}, title = {A digit-serial divider for fine grain heterogeneous parallel-pipelined processing}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupFia94b, author = {Mario {Fiallos Aguilar} and Jean Duprat}, booktitle = {Parallel Architectures and Languages Europe}, publisher = {Springer-Verlag}, title = {Towards a high precision massively parallel computer}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupFia94c, author = {Mario {Fiallos Aguilar} and Jean Duprat}, address = {San Diego, California}, booktitle = {27th IEEE/ACM/SCS Annual Simulation Symposium}, EDITOR = {IEEE Computer Society Press}, title = {Parallel simulation of heterogeneous arithmetic units and high precision dot products}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupFiaMulYeh91, author = {Jean Duprat and Mario {Fiallos Aguilar} and Jean-Michel Muller and Hong-Jin Yeh}, address = {Bonas, France}, booktitle = {IFIP Workshop on algorithms and parallel VLSI architectures}, EDITION = {North Holland}, title = {Delays of on-line floating-point operators in borrow-save representation}, year = {1991}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupHerKla91, author = {Jean Duprat and Yvan Herreros and Sylvanus Kla}, pages = {2-9}, title = {New redundant representations of complex numbers and vectors}, year = {1991}, address = ARITH91:address, booktitle = ARITH91:booktitle, EDITOR = ARITH91:EDITOR, CRINDEX = ARITH91:HOW } @ARTICLE{DupHerKla93, author = {Jean Duprat and Yvan Herreros and Sylvanus Kla}, journal = IEEETC:JOURNAL, number = 7, pages = {817-825}, title = {New redundant representations of complex numbers and vectors}, volume = 42, year = 1993, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1993/pdf/t0817.pdf} } @INPROCEEDINGS{DupHerMul89, author = {Jean Duprat and Yvan Herreros and Jean-Michel Muller}, address = {Santa-Monica, California}, booktitle = {Proceedings of the 9th Symposium on Computer Arithmetic}, EDITOR = {Milo\v{s} D. Ercegovac and Earl Swartzlander}, pages = {112-118}, publisher = {IEEE Computer Society Press}, title = {Some results about on-line computation of functions.}, year = {1989}, CRINDEX = {Livre JM2} } @ARTICLE{DupMul88, author = {Jean Duprat and Jean-Michel Muller}, journal = {Journal of Parallel and Distributed Computing}, number = {5}, title = {Hardwired polynomial evaluation}, year = {1988}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{DupMul90, author = {Jean Duprat and Jean-Michel Muller}, address = {Pont-{\'a}-Mousson, France}, booktitle = {IFIP Workshop on Algorithms and Parallel VLSI Architectures}, title = {Fast {VLSI} implementation of {CORDIC} using redundancy}, year = {1990}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @ARTICLE{DupMul91, author = {Jean Duprat and Jean-Michel Muller}, journal = {Techniques et Science Informatiques}, number = {3}, pages = {211-224}, title = {Ecrire les nombres autrement pour calculer plus vite}, volume = {10}, year = {1991}, CRINDEX = {Classeur} } @ARTICLE{DupMul93, author = {Jean Duprat and Jean-Michel Muller}, journal = IEEETC:JOURNAL, number = 2, pages = {168-178}, title = {The {CORDIC} algorithm: new results for fast {VLSI} implementation}, volume = 42, year = 1993, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1993/pdf/t0168.pdf} } @inproceedings{EbeGieVil00, author = {Eberly, Wayne and Giesbrecht, Mark and Villard, Gilles}, title = {Computing the determinant and {S}mith form of an integer matrix}, booktitle = {41st Annual IEEE Symposium on Foundations of Computer Science}, address = {Redondo Beach, California}, pages = {675-679}, year = 2000, crindex = {Fichier}, url = {http://www.ens-lyon.fr/~gvillard/BIBLIOGRAPHIE/PDF/focs00.pdf}, url.alt = {http://dlib.computer.org/conferen/focs/0850/pdf/08500675.pdf} } @Article{ErcImbMatMulWei2K, author = {Milo\v{s} D. Ercegovac and Laurent Imbert and David Matula and Jean-Michel Muller and Guoheng Wei}, title = {Improving {G}oldschmidt division, square root and square root reciprocal}, pages = {759-763}, volume = 49, number = 7, year = 2000, journal = IEEETC:JOURNAL, CRINDEX = IEEETC:49:7:HOW, url = IEEETC:49:7:URL, url.alt = {http://www.ens-lyon.fr/~jmmuller/IEEETCJul2000-1.pdf} } @Article{ErcLanMulTis2K, author = {Milo\v{s} D. Ercegovac and Tom{\'a}s Lang and Jean-Michel Muller and Arnaud Tisserand}, title = {Reciprocation, square root, inverse square root, and some elementary functions using small multipliers}, pages = {628-637}, volume = {49}, number = {7}, year = {2000}, journal = IEEETC:JOURNAL, CRINDEX = IEEETC:49:7:HOW, url = IEEETC:49:7:URL } @TECHREPORT{ErcLanMulTis97, author = {Milo\v{s} D. Ercegovac and Thomas Lang and Jean-Michel Muller and Arnaud Tisserand}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {97-47}, title = {Reciprocation, square root, inverse square root, and some elementary functions using small multipliers}, TYPE = {Research report}, year = {1997}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-47.ps.Z} } @TECHREPORT{ErcMul97, author = {Milo\v{s} D. Ercegovac and Jean-Michel Muller}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {97-46}, title = {Fast evaluation of functions at regularly-spaced points}, TYPE = {Research report}, year = {1997}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-46.ps.Z} } @INPROCEEDINGS{ErcMulTis95, author = {Milo\v{s} D. Ercegovac and Jean-Michel Muller and Arnaud Tisserand}, address = {Philadelphie, Pennsylvania}, booktitle = {SPIE Photonic East Conference}, title = {{FPGA} implementation of polynomial evaluation algorithms}, year = {1995}, CRINDEX = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR95/RR95-34.ps.Z} } @INPROCEEDINGS{Fia93, author = {Mario {Fiallos Aguilar}}, address = {Ischia, Italy}, booktitle = {IEEE/Euromicro/Massively parallel computing systems conference}, EDITOR = {IEEE computer Society Press}, pages = {403-407}, title = {High precision arithmetic units for fine-grain massively parallel computing}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Fia94a, author = {Mario {Fiallos Aguilar}}, address = {Lyon, France}, school = {Universit{\'e} Lyon 1}, title = {Conception et simulation d'une machine massivement parall{\`e}le en grande pr{\'e}cision}, year = {1994}, CRINDEX = {Bo{\^\i}te} } @INPROCEEDINGS{Fia94b, author = {Mario {Fiallos Aguilar}}, address = {Barcelona, Spain}, booktitle = {European Simulation Symposium}, title = {A simulator for a superpipelined computer}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{Fia94c, author = {Mario {Fiallos Aguilar}}, address = {San Diego, California}, booktitle = {High Performance Computing}, EDITOR = {Society for Computer Simulation}, title = {Polynomial evaluation on a massively parallel and multipipelined architecture}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @MASTERSTHESIS{Fin98, author = {Claire Finot}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\`e}rieure de Lyon}, title = {La division sur les expansions flottantes}, year = {1998}, CRINDEX = {Bo{\^\i}te} } @TECHREPORT{FraMul90, author = {Philippe Francois and Jean-Michel Muller}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {90-03}, title = {Faut-il faire confiance aux ordinateurs~?}, TYPE = {Research report}, year = {1990}, CRINDEX = {Manquant} } @TECHREPORT{Gog2K, author = {Brice Goglin}, INSTITUTION = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Calcul sur des expansions de taille fixe}, year = 2000, CRINDEX = {Fichier}, url = {http://www.ens-lyon.fr/~bgoglin/travail/stage_mim1.ps} } @Proceedings{MigPey97b, author = {Anne Mignotte and Olivier Peyran}, address = {Antwerp, Belgium}, booktitle = {Proceedings of 10th International Symposium on System Synthesis}, pages = {58-64}, title = {Reducing the complexity of an {ILP} formulation for synthesis}, year = 1997, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/proceedings/dac/261693/p58-mignotte/p58-mignotte.pdf} } @INPROCEEDINGS{GuyHocMul89, author = {Alain Guyot and Bertrand Hochet and Jean-Michel Muller}, address = {Santa Monica, California}, booktitle = {Proceedings of the 9th Symposium on Computer Arithmetic}, pages = {106-111}, publisher = {IEEE Computer Society Press}, title = {{JANUS}, an on-line multiplier/divider for manipulating large numbers.}, year = {1989}, CRINDEX = {Manquant} } @INPROCEEDINGS{GuyMulSka94, author = {Alain Guyot and Jean-Michel Muller and Ali Skaf}, address = {Ulm, Germany}, booktitle = {20th European Solid-State CIRcuits Conference}, title = {On-line hardware implementation for complex exponential and logarithm}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Her89, author = {Yvan Herreros}, school = {Institut National Polytechnique de Grenoble}, title = {Contribution {\`a} l'arithm{\'e}tique des ordinateurs}, year = {1989}, CRINDEX = {Livre JM2} } @INPROCEEDINGS{ImbMorRic2K, author = {Laurent Imbert and Claire Moreau and Fabien Rico}, address = {Karlsruhe, Germany}, booktitle = {IMACS-GAMMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, pages = {124-125}, title = {Comparison of different techniques to compute the complex exponential for hundred bit precision}, year = {2000}, CRINDEX = {Fichier}, url = {http://iamm22.mathematik.uni-karlsruhe.de/scan/pages/abstracts/rico_f.ps} } @ARTICLE{ImbMulRic2K, author = {Imbert, Laurent and Muller, Jean-Michel and Rico, Fabien}, journal = {Journal of VLSI Signal Processing}, title = {A radix 10 {BKM} algorithm for computing transcendentals on pocket computers}, number = 2, volume = 25, pages = {179-186}, year = 2000, crindex = {Fichier}, url = {http://www.wkap.nl/article.pdf?167703} } @INPROCEEDINGS{Kla92, author = {Sylvanus Kla}, booktitle = {Premi{\`e}re Conf{\'e}rence Africaine sur la Recherche en Informatique}, EDITOR = {Maurice Tchuente}, pages = {483-494}, title = {Calcul en-ligne avec d{\'e}lai minimum}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Kla93, author = {Sylvanus Kla}, address = {Lyon, France}, school = {Universit{\'e} Lyon 1}, title = {Calcul parall{\`e}le et en-ligne des fonctions arithm{\'e}tiques}, year = {1993}, CRINDEX = {Bo{\^\i}te} } @Article{Lan01a, author = "Philippe Langlois", title = "Automatic linear correction of rounding errors", journal = "BIT Numerical Mathematics", pages = {515-539}, year = 2001, volume = 41, number = 3, CRINDEX = {Classeur} } @phdthesis{Lan01b, author = {Langlois, Philippe}, school = {Universit{\'e} Claude Bernard}, address = {Lyon, France}, title = {Pr{\'e}cision finie et m{\'e}thode automatiques}, type = {Habilitation {\`a} Diriger des Recherches}, year = 2001, crindex = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/HDR/HDR2001/HDR2001-01.ps.gz} } @INPROCEEDINGS{Lan2K, author = {Philippe Langlois}, address = {Lausanne, Switzerland}, booktitle = {Proceedings of the 14th IMACS World Congress on Computational and Applied Mathematics}, title = {Stochastic detection of instability and deterministic enhancement of accuracy for iterative algorithms}, year = {2000}, CRINDEX = {Fichier}, url = {http://imacs2000.epfl.ch/Documents/Sessions/121-1.pdf} } @TechReport{Lan99, author = "Philippe Langlois", title = "Automatic linear correction of rounding errors", address = {Le Chesnay, France}, number = {3828}, INSTITUTION = {Institut National de Recherche en Informatique et en Automatique}, type = "Research report", year = "1999", CRINDEX = {Fichier}, url = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-3828.pdf} } @InProceedings{LanNat97, author = "Philippe Langlois and Fabrice Nativel", title = "Calcul pr\'ecis de polyn\^omes", address = {Larnas, France}, booktitle = "29{\`e}me Congr{\`e}s d'Analyse Num{\'e}rique", year = "1997", CRINDEX = {Manquant} } @ARTICLE{LanNat98, author = {Philippe Langlois and Fabrice Nativel}, journal = {Comptes Rendus de l'Acad\'emie des Sciences, S\'erie 1}, pages = {781-786}, number = {8}, title = {Reduction and bounding of the rounding error in floating point arithmetic}, volume = {327}, year = {1998}, CRINDEX = {Fichier} } @ARTICLE{LanNat99, author = {Philippe Langlois and Fabrice Nativel}, journal = {Comptes Rendus de l'Acad\'emie des Sciences, S\'erie 1}, pages = {543-548}, number = {6}, title = {When automatic linear correction of rounding errors is exact}, volume = {328}, year = {1999}, CRINDEX = {Fichier} } @PHDTHESIS{Lef2K, author = {Vincent Lef{\`e}vre}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Moyens arithm{\'e}tiques pour un calcul fiable}, year = {2000}, CRINDEX = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2000/PhD2000-02.ps.Z} } @TECHREPORT{Lef97, author = {Vincent Lef{\`e}vre}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {97-18}, title = {An algorithm that computes a lower bound on the distance between a segment and $\mathbb{Z}^2$}, TYPE = {Research report}, year = {1997}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}}, url = {ftp://ftp.lip.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-18.ps.Z} } @ARTICLE{LefMulTis98, author = {Vincent Lef{\`e}vre and Jean Michel Muller and Arnaud Tisserand}, journal = IEEETC:JOURNAL, number = {11}, pages = {1235-1243}, title = {Towards Correctly Rounded Transcendentals}, volume = {47}, year = {1998}, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1998/pdf/t1235.pdf} } @MASTERSTHESIS{Loi97, author = {Patrick Loiseleur}, address = {Paris, France}, school = {{\'E}cole Normale Sup{\'e}rieure}, title = {Formalisation en Coq de la norme IEEE 754 sur l'arithm{\'e}tique {\`a} virgule flottante}, year = {1997}, CRINDEX = {Fichier}, url = {http://www.lri.fr/~loisel/rapport-stage-dea.ps.gz} } @TECHREPORT{Maz93a, author = {Christophe Mazenc}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {93-16}, title = {On the redundancy of real number representation systems}, TYPE = {Research report}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR93/RR93-16.ps.Z} } @PHDTHESIS{Maz93b, author = {Christophe Mazenc}, address = {Lyon, France}, school = {Universit{\'e} Lyon 1}, title = {Syst{\`e}mes de repr{\'e}sentation des nombres et arithm{\'e}tiques sur machines parall{\`e}les}, year = {1993}, CRINDEX = {Bo{\^\i}te} } @INPROCEEDINGS{MazMer93, author = {Christophe Mazenc and Xavier Merrheim}, address = {Honolulu, Hawaii}, booktitle = {26th International Conference on System Sciences}, pages = {1196-1198}, title = {Handling numbers in high precision and controlling the numerical precision in a serial system on a parallel {MIMD} machine}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @TECHREPORT{MazMerMul92, author = {Christophe Mazenc and Xavier Merrheim and Jean-Michel Muller}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {92-28}, title = {High radix on-line arithmetic for very long precision computations on a parallel computer}, TYPE = {Research report}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @ARTICLE{MazMerMul93, author = {Christophe Mazenc and Xavier Merrheim and Jean-Michel Muller}, journal = IEEETC:JOURNAL, number = 1, pages = {118-122}, title = {Computing functions $cos^{-1}$ and $sin^{-1}$ using {CORDIC}}, volume = 42, year = 1993, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1993/pdf/t0118.pdf} } @INPROCEEDINGS{Mer93, author = {Xavier Merrheim}, address = {Vienna, Austria}, booktitle = {IMACS-GAMMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {The computation of elementary functions and the division in radix $2^p$}, year = {1993}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Mer94a, author = {Xavier Merrheim}, address = {Lyon, France}, school = {Universit{\'e} Lyon 1}, title = {Bases discr{\`e}tes et calcul des fonctions el{\'e}mentaires par mat{\'e}riel}, year = {1994}, CRINDEX = {Bo{\^\i}te} } @ARTICLE{Mer94b, author = {Xavier Merrheim}, journal = {Computing}, number = {53}, title = {The computation of elementary functions and the division in radix $2^p$}, volume = {34}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{MerMulYeh93, author = {Xavier Merrheim and Jean-Michel Muller and Hong-Jin Yeh}, pages = {186-192}, title = {Fast evaluation of polynomials and inverses of polynomials}, year = {1993}, address = ARITH93:address, booktitle = ARITH93:booktitle, EDITOR = ARITH93:EDITOR, CRINDEX = ARITH93:HOW } @INPROCEEDINGS{MigBerCho93, author = {Anne Mignotte and M-C Bertrand and L. Chouraki}, address = {Grenoble, France}, booktitle = {IFIP workshop on Logic and Architecture Synthesis}, pages = {358-371}, title = {Efficient use of library blocks from a VHDL description}, year = {1993} } @INBOOK{MigBerCra93, author = {Anne Mignotte and M-C Bertrand and M. Crastes}, CHAPTER = {ASYL: A Control Driven RTL Synthesis System using Library Blocks}, EDITOR = {Gabrielle Saucier and J. Thrille}, pages = {271-295}, publisher = {Elsevier science publisher}, year = {1993} } @INPROCEEDINGS{MigMul94, author = {Anne Mignotte and Jean-Michel Muller}, address = {Grenoble, France}, booktitle = {IFIP Workshop on Logic and Architecture Synthesis}, pages = {358-371}, title = {Overview of synthesis and arithmetic}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @INPROCEEDINGS{MigMulPey95a, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, booktitle = {Logic and architecture synthesis: state of the art and novel approaches}, EDITOR = {Anne Mignotte and Gabriele Saucier}, pages = {268-279}, publisher = {Chapman et Hall}, title = {The influence of modern computer arithmetic on synthesis}, year = {1995}, CRINDEX = {Classeur} } @TECHREPORT{MigMulPey95b, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, address = {Lyon, France}, INSTITUTION = {Laboratoire de l'Informatique du Parall{\'e}lisme}, number = {95-17}, title = {Mixed arithmetic and operation}, TYPE = {Research report}, year = {1995}, CRINDEX = {Manquant} } @INPROCEEDINGS{MigMulPey95c, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, booktitle = {4{\`e}me Symposium en Architecture Nouvelles de Machines}, title = {Am{\'e}lioration des calculs par l'arithm{\'e}tique mixte}, year = 1995 } @INPROCEEDINGS{MigMulPey96a, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, address = {Ischia, Italy}, booktitle = {2nd International conference on Massively Parallel Computing Systems}, title = {Mixed arithmetic: introduction and design structure}, year = {19961996} } @INPROCEEDINGS{MigMulPey96b, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, address = {Lille, France}, booktitle = {IEEE-SCM Computational Engineering in Systems Applications, CESA'96 IMACS}, title = {A model for using redundant number systems in special-purpose architectures}, year = {1996} } @INPROCEEDINGS{MigPey97a, author = {Anne Mignotte and Olivier Peyran}, address = {Paris, France}, booktitle = {Proceedings of the European Design and Test Conference}, pages = {1-1}, title = {Scheduling using mixed arithmetic: an {ILP} formulation}, year = {1997} } @PROCEEDINGS{MigSau95a, EDITOR = {Anne Mignotte and Gabrielle Saucier}, publisher = {Chapman et Hall}, title = {Logic and architecture synthesis: state of the art and novel approaches}, year = {1995}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PROCEEDINGS{MigSau95b, address = {Grenoble, France}, EDITOR = {Anne Mignotte and Gabriele Saucier}, title = {IFIP Workshop on Logic and Architecture Synthesis}, year = {1995} } @PROCEEDINGS{MigSau96, address = {Grenoble, France}, EDITOR = {Anne Mignotte and Gabriele Saucier}, title = {IFIP Workshop on Logic and Architecture Synthesis}, year = {1996} } @phdthesis{Mor01, author = {Moreau-Finot, Claire}, address = {Lyon, France}, school = ENSL:INST, title = {Preuves et algorithmes utilisant l'arithm{\'e}tique normalis{\'e}e IEEE}, year = 2001, crindex = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD2001/PhD2001-03.ps.Z} } @INPROCEEDINGS{Mul2K, author = {Muller, Jean-Michel}, address = {Dagstuhl, Germany}, booktitle = {Real Numbers and Computers}, title = {Some algebraic properties of floating point arithmetic}, pages = {121-137}, year = 2000, CRINDEX = {Livre} } @BOOK{Mul89, author = {Jean-Michel Muller}, publisher = {Masson}, title = {Arithm{\'e}tique des Ordinateurs}, year = {1989}, CRINDEX = {Livre JM2} } @ARTICLE{Mul94a, author = {Jean-Michel Muller}, journal = IEEETC:JOURNAL, number = 6, pages = {752-755}, title = {Some characterizations of functions computable in on-line arithmetic}, volume = 43, year = 1994, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1994/pdf/t0752.pdf} } @INPROCEEDINGS{Mul94b, author = {Jean-Michel Muller}, address = {Grenoble, France}, booktitle = {4th Discrete Geometry for Computer Imagery}, pages = {89-98}, title = {Exotic systems for representing numbers}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @ARTICLE{Mul95a, author = {Jean-Michel Muller}, journal = {La Recherche}, number = {278}, pages = {772-777}, title = {Ordinateurs en qu{\^e}te d'arithm{\'e}tique}, volume = {26}, year = {1995}, CRINDEX = {Classeur} } @ARTICLE{Mul95b, author = {Jean-Michel Muller}, journal = {Technique et Science Informatiques}, number = {8}, title = {Algorithmes de division pour microprocesseurs~: illustration {\`a} l'aide du ``bug'' du {P}entium}, volume = {14}, year = {1995}, CRINDEX = {Fichier, Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1995/RR1995-06.ps.Z} } @BOOK{Mul97, author = {Jean-Michel Muller}, publisher = {Birkhauser}, title = {Elementary functions, algorithms and implementation}, year = 1997 } @BOOK{Mul06, author = {Jean-Michel Muller}, publisher = {Birkhauser}, title = {Elementary functions, algorithms and implementation}, year = 2006, url = {http://www.springer.com/west/home/birkhauser/computer+science?SGWID=4-40353-22-72377986-0} } @ARTICLE{Mul99a, author = {Jean-Michel Muller}, journal = {La Recherche}, number = {Hors S{\'e}rie 2}, pages = {90-96}, title = {Ordinateurs en qu{\^e}te d'arithm{\'e}tique}, year = {1999}, CRINDEX = {Classeur} } @ARTICLE{Mul99b, author = {Jean-Michel Muller}, journal = {Reliable Computing}, volume = {5}, number = {3}, title = {A few results on table based methods}, year = {1999}, CRINDEX = {Fichier}, url = {http://www.wkap.nl/article.pdf?244239}, url.alt = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR1998/RR1998-46.ps.Z} } @ARTICLE{MulSchTis98, author = {Jean-Michel Muller and Alexandre Scherbyna and Arnaud Tisserand}, journal = IEEETC:JOURNAL, number = {2}, title = {Semi-logarithmic number systems}, volume = {47}, pages = {145-151}, year = {1998}, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1998/pdf/t0145.pdf} } @ARTICLE{MulTak98, author = {Jean-Michel Muller and Naofumi Takagi}, journal = IEEETC:JOURNAL, number = {7}, pages = {721}, title = {Guest editors\foobar foreword}, volume = {47}, year = {1998}, CRINDEX = IEEETC:47:7:URL, url = IEEETC:47:7:HOW } @INPROCEEDINGS{MulTis95, author = {Jean-Michel Muller and Arnaud Tisserand}, address = {Wuppertal, Germany}, booktitle = {IMACS-GAMMM International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics}, title = {Towards exact rounding of the elementary functions}, year = {1995}, CRINDEX = {Classeur}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR95/RR95-33.ps.Z} } @INPROCEEDINGS{MulTis96, author = {Jean-Michel Muller and Arnaud Tisserand}, address = {Wuppertal, Germany}, booktitle = {Scientific Computing and Validated Numerics}, EDITOR = {G{\"o}tz Alefeld and Andreas Frommer and Bruno Lang}, pages = {11-17}, publisher = {Akademic Verlag}, title = {Towards exact rounding of the elementary functions}, year = {1996}, CRINDEX = {Livre JM2}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR95/RR95-33.ps.Z} } @INPROCEEDINGS{MulTisVin97, author = {Jean-Michel Muller and Arnaud Tisserand and Jean-Marc Vincent}, address = {Victoria, British Columbia}, booktitle = {Pacific Rim Conference on Communication, Computers and Signal Processing}, title = {Asynchronous sub-logarithmic adders}, year = {1997}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/RR/RR97/RR97-12.ps.Z} } @INPROCEEDINGS{NieMul96a, author = {Asger Munk Nielsen and Jean-Michel Muller}, address = {Ischia, Italy}, booktitle = {Second International Conference on Masssively Parallel Computing Systems}, title = {On-Line Operators for Complex Arithmetics}, year = {1996} } @INPROCEEDINGS{NieMul96b, author = {Asger Munk Nielsen and Jean-Michel Muller}, address = {Lyon, France}, booktitle = {Proceedings of Europar'96, Lecture Notes in Computer Science 1124}, publisher = {Springer-Verlag, Berlin}, title = {On-line algorithms for computing exponentials and logarithms}, year = {1996} } @INPROCEEDINGS{NieMul96c, author = {Asger Munk Nielsen and Muller, Jean-Michel}, address = {Marseille, France}, booktitle = {Real Numbers and computers}, title = {Borrow-save adders for real and complex number systems}, pages = {121-137}, year = 1996, CRINDEX = {Livre} } @INPROCEEDINGS{Pey96, author = {Olivier Peyran}, booktitle = {Proceedings of ASICON'96}, title = {An area-optimized solution to introduce redundant arithmetic in high-level synthesis}, year = {1996} } @PHDTHESIS{Pey97, author = {Olivier Peyran}, school = {Institut National Polytechnique de Grenoble}, title = {Synth{\`e}se d'architectures int{\'e}gr{\'e}es utilisant des arithmetiques redondantes}, year = {1997}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @inproceedings{Rev01, author = {Revol, Nathalie}, title = {Newton iteration using multiple precision interval arithmetic: the univariate case}, address = {Rabat, Morocco}, pages = {121-129}, year = 2001 } @MASTERSTHESIS{Tis94a, author = {Arnaud Tisserand}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Arithm{\'e}tique en-ligne sur l'acc{\'e}l{\'e}rateur mat{\'e}riel {DECPeRLe-1}}, year = {1994}, CRINDEX = {Manquant} } @INPROCEEDINGS{Tis94b, author = {Arnaud Tisserand}, address = {Monastir, Tunisie}, booktitle = {Journ{\'e}es des Jeunes Chercheurs en Architecture des Machines et des Syst{\`e}mes}, title = {Etude d'un produit scalaire haute pr{\'e}cision sur m{\'e}moire active programmable}, year = {1994}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Tis97, author = {Arnaud Tisserand}, address = {Lyon, France}, school = {{\'E}cole Normale Sup{\'e}rieure de Lyon}, title = {Ad{\'e}quation arithm{\'e}tique-architecture~: probl{\`e}mes et {\'e}tude de cas}, year = {1997}, CRINDEX = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD1997/PhD1997-07.ps.Z} } @INPROCEEDINGS{TisDim97, author = {Arnaud Tisserand and Martin Dimmler}, address = {London, England}, booktitle = {Field Programmable Logic}, publisher = {Springer Verlag}, title = {{FPGA} implementation of real-time digital controllers using on-line arithmetic}, year = {1997}, CRINDEX = {Manquant} } @inproceedings{Vil01, author = {Villard, Gilles}, title = {Evaluation du signe et calcul du d{\'e}terminant d'une matrice {\`a} coefficients entiers}, booktitle = {Alg{\`e}bre Lin{\'e}aire et Arithm{\'e}tique~: Calcul Num{\'e}rique, Symbolique et Parall{\`e}le}, address = {Rabat, Morocco}, pages = {147-153}, year = 2001, crindex = {Fichier}, url = {http://www.ens-lyon.fr/~gvillard/BIBLIOGRAPHIE/POSTSCRIPT/ala.ps} } @INPROCEEDINGS{Yeh92, author = {Hong-Jin Yeh}, address = {Lyon, France}, booktitle = {2nd Joint International Conference on Vector and Parallel Processing}, publisher = {Springer Verlag}, title = {A task scheduling algorithm for the parallel expression evaluation in a reconfigurable full digit on-line network}, year = {1992}, CRINDEX = {Non r{\'e}f{\'e}renc{\'e}} } @PHDTHESIS{Yeh93, author = {Hong-Jin Yeh}, address = {Lyon, France}, school = {Universit{\'e} Lyon 1}, title = {Architectures et algorithmes parall{\`e}les bas{\'e}s sur le calcul arithm{\'e}tique en s{\'e}rie}, year = {1993}, CRINDEX = {Fichier}, url = {ftp://ftp.ens-lyon.fr/pub/LIP/Rapports/PhD/PhD1993/PhD1993-09.ps.Z} } @ARTICLE{Lan01c, author = {Langlois, Philippe}, journal = {R{\'e}seaux et Syst{\`e}mes R{\'e}partis, Calculateurs Parall{\`e}les}, number = 3, title = {Une m{\'e}thode de correction automatique}, pages = {505-522}, volume = 13, year = 2001 } @article{LefMul03, author = {Vincent Lef{\`e}vre and Jean-Michel Muller}, title = {On the fly range reduction}, journal = {Journal of VLSI Signal Processing-Systems for Signal, Image, and Video Technology}, volume = 33, number = 1, year = 2003, pages = {31-5}, crindex = {Fichier}, url = {http://dx.doi.org/10.1023/A:1021137717282} } @INPROCEEDINGS{BroMelPio03, author = {Hervé Brönnimann and Guillaume Melquiond and Sylvain Pion}, address = {Lyon, France}, booktitle = {Real Numbers and Computers}, title = {The {B}oost interval arithmetic library}, pages = {65-80}, year = 2003, CRINDEX = {Livre,Fichier}, url = {http://perso.ens-lyon.fr/guillaume.melquiond/doc/03-rnc5-article.ps.gz} } @ARTICLE{BroMelPio06, author = {Hervé Brönnimann and Guillaume Melquiond and Sylvain Pion}, journal = TCS:JOURNAL, title = {The design of the {B}oost interval arithmetic library}, year = 2006, volume = 351, pages = {111-118}, url = {http://dx.doi.org/10.1016/j.tcs.2005.09.062}, url.alt = {http://www.msr-inria.inria.fr/~gmelquio/doc/06-tcs-rnc5.pdf} } @article{RevMakBer05, author = {Revol, Nathalie and Makino, Kyoko and Berz, Martin}, title = {Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in {COSY}}, journal = {Journal of Logic and Algebraic Programming}, volume = 64, number = 1, pages = {135-154}, year = 2005, crindex = {Fichier}, url = {http://dx.doi.org/10.1016/j.jlap.2004.07.008}, url.alt = 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"Research report", CRINDEX = {Fichier}, url = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-5137.pdf} } @ARTICLE{BouTis05, author = {Nicolas Boullis and Arnaud Tisserand}, journal = IEEETC:JOURNAL, volume = 54, number = 10, pages = {1271-1282}, title = {Some optimizations of hardware multiplication by constant matrices}, year = 2005, CRINDEX = {Fichier}, url = {http://doi.ieeecomputersociety.org/10.1109/TC.2005.168}, url.alt = {http://www.lirmm.fr/~tisseran/publications/pspdf/ieeetc05_10.pdf} } @INPROCEEDINGS{KorMul05, author = {Peter Kornerup and Jean-Michel Muller}, address = {Paris, France}, booktitle = {Proceedings of the 15th IMACS World Congress on Computational and Applied Mathematics}, title = {RN-coding of numbers: definition and some properties}, year = 2005, CRINDEX = {Fichier}, url = {http://perso.ens-lyon.fr/jean-michel.muller/RN-recodings-IMACS.pdf}, } @Article{MigMulPey99, author = {Anne Mignotte and Jean-Michel Muller and Olivier Peyran}, title = {Synthesis for mixed arithmetic}, journal = {Design Automation for Embedded Systems}, year = 2000, volume = 5, number = 1, pages = {29-60}, CRINDEX = {Fichier}, url = {http://dx.doi.org/10.1023/A:1008939516542}, } @ARTICLE{BriMulRai04, author = {Nicolas Brisebarre and Jean-Michel Muller and Saurabh Kumar Raina}, title = {Accelerating correctly rounded floating point division when the divisor is known in advance}, journal = IEEETC:JOURNAL, volume = 53, number = 8, pages = {1069-1072}, year = 2004, crindex = {Fichier}, url = {http://doi.ieeecomputersociety.org/10.1109/TC.2004.37}, url.alt = {http://perso.ens-lyon.fr/jean-michel.muller/DivIEEETC-aug04.pdf} } @InProceedings{DinLauMel06, author = {de Dinechin, Florent and Christoph Quirin Lauter and Guillaume Melquiond}, title = {Assisted verification of elementary functions using {G}appa}, booktitle = {Proceedings of the 2006 ACM Symposium on Applied Computing}, address = {Dijon, France}, year = 2006, pages = {1318-1322}, crindex = {Fichier}, url = 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Chow and James E. Robertson}, BOOKTITLE = {Proceedings of the 4th IEEE Symposium on Computer Arithmetic}, PAGES = {109-115}, TITLE = {Logical design of a redundant binary adder}, YEAR = {1978}, CRINDEX = {Classeur} } @ARTICLE{Cod73, AUTHOR = {William J. Cody}, JOURNAL = IEEETC:JOURNAL, NUMBER = {6}, PAGES = {598-601}, TITLE = {Static and dynamic numerical characteristics of floating point arithmetic}, VOLUME = {22}, YEAR = {1973}, CRINDEX = {Classeur} } @ARTICLE{Cod87, AUTHOR = {William J. Cody}, JOURNAL = {IEEE Computer}, NUMBER = {3}, PAGES = {63-68}, TITLE = {Analysis of proposals for the floating point standard}, VOLUME = {20}, YEAR = {1987}, CRINDEX = {Computer Arithmetic II} } @ARTICLE{CodKar.84, AUTHOR = {William J. Cody and Richard Karpinski and others}, JOURNAL = {IEEE Micro}, NUMBER = 4, PAGES = {86-100}, TITLE = {A proposed radix and word-length independent standard for floating point arithmetic}, VOLUME = 4, YEAR = 1984, CRINDEX = {Classeur} } @BOOK{CodWai80, AUTHOR = {William J. Cody and William Waite}, PUBLISHER = {Prentice Hall}, TITLE = {Software manual for elementary functions}, YEAR = 1980, CRINDEX = {Livre JM2} } @INPROCEEDINGS{ComHifSyr80, AUTHOR = {D. Comte and N. Hifdi and J. C. Syre}, ADDRESS = {Tokyo, Japan}, BOOKTITLE = {Proceedings of IFIP Congress 80}, EDITOR = {Simon Lavington}, PAGES = {175-180}, TITLE = {The data driven {LAU} multiprocessor system: results and perspectives}, YEAR = {1980}, CRINDEX = {Classeur} } @INPROCEEDINGS{Den74, AUTHOR = {Jack B. Dennis}, ADDRESS = {Paris, France}, BOOKTITLE = {Proceedings, Colloque sur la Programmation}, PAGES = {362-376}, TITLE = {First version of a data flow procedure language}, YEAR = {1974}, CRINDEX = {Classeur} } @ARTICLE{Den80, AUTHOR = {Jack B. Dennis}, JOURNAL = {IEEE Computer}, PAGES = {48-56}, TITLE = {Dataflow supercomputers}, YEAR = {1980}, CRINDEX = {Classeur} } @INPROCEEDINGS{DenBouLeu80, AUTHOR = {Jack B. Dennis and G. A. Boughton and C. k-C. Leung}, ADDRESS = {La Boule, France}, BOOKTITLE = {7th Annual Symposium on Computer Architecture}, TITLE = {Building blocks for data flow prototypes}, YEAR = {1980}, CRINDEX = {Manquant} } @ARTICLE{Erc77, AUTHOR = {Milo\v{s} D. Ercegovac}, JOURNAL = IEEETC:JOURNAL, NUMBER = 7, PAGES = {667-680}, TITLE = {A general hardware-oriented method for evaluation of functions and computations in a digital computer}, VOLUME = 26, YEAR = 1977, CRINDEX = {Classeur} } @INPROCEEDINGS{Erc84, AUTHOR = {Milo\v{s} D. Ercegovac}, BOOKTITLE = {SPIE, Real Time Signal Processing VII}, PAGES = {86-93}, TITLE = {On-line arithmetic: an overview}, YEAR = 1984, CRINDEX = {Manquant} } @INPROCEEDINGS{FarEvr93, AUTHOR = {William G. Farquhar and Paraskevas Evripidou}, ADDRESS = {Orlando, Florida}, BOOKTITLE = {Architecture and Compilation Techniques for Fine and Medium Grain Parallelism}, EDITOR = {Michel Cosnard and K. 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Stummel}, JOURNAL = {Computing}, NUMBER = {Supplementum 2}, PAGES = {169-195}, TITLE = {Rounding error analysis of elementary numerical algorithms}, VOLUME = {24}, YEAR = {1980}, CRINDEX = {Classeur} } @INPROCEEDINGS{TemHasHan80, AUTHOR = {T. Temma and S. Hasegawa and S. Hanaki}, ADDRESS = {Monterey, California}, BOOKTITLE = {1th Intenational Symposium on Mini and Microcomputers}, TITLE = {Dataflow processor for image processing}, YEAR = {1980}, CRINDEX = {Manquant} } @TECHREPORT{Tou93, AUTHOR = {Herv\'e Touati}, INSTITUTION = {Digital Equipment Corporation, Paris Research Laboratory}, NUMBER = {4}, TITLE = {{Perle1DC}: a {C++} library for the simulation and the generation of {DECPeRLe-1} designs,}, TYPE = {Technical Note}, YEAR = {1993}, CRINDEX = {Fichier} } @ARTICLE{TriErc77, AUTHOR = {Kishor S. Trivedi and Milo\v{s} D. Ercegovac}, JOURNAL = IEEETC:JOURNAL, NUMBER = {7}, PAGES = {681-687}, TITLE = {On-Line algorithms for division and multiplication}, VOLUME = {26}, YEAR = {1977}, CRINDEX = {Classeur} } @TECHREPORT{USA.92, AUTHOR = {{Information Management and Technology Division}}, INSTITUTION = {United States General Accounting Office}, NUMBER = {B-247094}, TITLE = {Patriot missile defense: software problem led to system failure at {D}hahran, {S}audi {A}rabia}, TYPE = {Report}, YEAR = 1992, CRINDEX = {Classeur, Fichier}, URL = {http://www.fas.org/spp/starwars/gao/im92026.htm} } @ARTICLE{Vig87a, AUTHOR = {Jean Vignes}, JOURNAL = {La Vie des Sciences, Comptes Rendus de l'Acad\'emie des Sciences}, NUMBER = {16}, PAGES = {1-13}, TITLE = {Z\'ero math\'ematique et z\'ero informatique}, VOLUME = {1}, YEAR = {1987}, CRINDEX = {Manquant} } @ARTICLE{Vol59, AUTHOR = {Jack Volder}, JOURNAL = {IRE Transactions on Electronic Computers}, PAGES = {330-334}, TITLE = {The {CORDIC} trigonometric computing technique}, VOLUME = {8}, YEAR = {1959}, CRINDEX = {Classeur, Computer Arithmetic I JM2} } @TECHREPORT{Vui92, AUTHOR = {Jean Vuillemin}, INSTITUTION = {Digital Equipment, Paris Research Laboratory}, NUMBER = 16, TITLE = {Contribution \`a la r\'esolution num\'erique des \'equations de {L}aplace et de la chaleur}, TYPE = {Research Report}, YEAR = 1992, CRINDEX = {Fichier}, URL = {ftp://ftp.digital.com/pub/DEC/PRL/research-reports/PRL-RR-16.pdf} } @BOOK{WasFly82, AUTHOR = {Shlomo Waser and Michael J. Flynn}, PUBLISHER = {Holt, Rinehart and Winston}, TITLE = {Introduction to arithmetic for digital systems designers}, YEAR = {1982}, CRINDEX = {Livre JM2} } @MANUAL{Xil94, ORGANIZATION = {Xilinx}, TITLE = {The programmable gate array data book}, YEAR = {1994}, CRINDEX = {Livre} } @ARTICLE{YubShiHirKas85, AUTHOR = {Toshitsugu Yuba and Toshio Shimada and Kei Hiraki and Hiroshi Kashiwagi}, JOURNAL = {Computer Physics Communications}, TITLE = {Sigma-1: a dataflow computer for scientific computing}, VOLUME = {37}, YEAR = {1985}, CRINDEX = {Manquant} } @ARTICLE{AbeSch92, author = {Oliver Aberth and Mark J. Schaefer}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = {4}, PAGES = {481-491}, TITLE = {Precise computation using range arithmetic, via {C++}}, VOLUME = {18}, YEAR = {1992}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/toms/1992-18-4/p481-aberth/p481-aberth.pdf} } @BOOK{AhoHopUll74, author = {Alfred V. Aho and John E. Hopcroft and Jeffrey D. Ullman}, PUBLISHER = {Addison Wesley}, TITLE = {The design and analysis of computer algorithms}, YEAR = {1974}, CRINDEX = {Livre JM2} } @BOOK{AhoHopUll87, author = {Alfred V. Aho and John E. Hopcroft and Jeffrey D. Ullman}, PUBLISHER = {Addison Wesley}, TITLE = {Data structures and algorithms}, YEAR = {1987}, CRINDEX = {Biblioth\`eque ENS Lyon} } @INCOLLECTION{Ale94, author = {G\"otz Alefeld}, BOOKTITLE = {Topics in Validated Computations}, EDITOR = {Jurgen Herzberger}, PAGES = {7-26}, PUBLISHER = {Elsvier}, TITLE = {Inclusion methods for systems of nonlinear equations - the interval {N}ewton method and modifications}, YEAR = {1994} } @BOOK{AleHer83, author = {G\"otz Alefeld and Jurgen Herzberger}, PUBLISHER = {Academic Press}, TITLE = {Introduction to interval computations}, YEAR = {1983}, CRINDEX = {Biblioth\`eque INRIA Paris} } @BOOK{And.92, author = {E. Anderson and others}, PUBLISHER = {Society for Industrial and Applied Mathematics}, TITLE = {LAPACK users' guide}, YEAR = {1992}, CRINDEX = {Biblioth\`eque ENS Lyon} } @BOOK{And.95, author = {E. Anderson and others}, NOTE = {Second edition}, PUBLISHER = {Society for Industrial and Applied Mathematics}, TITLE = {LAPACK users' guide}, YEAR = {1995}, CRINDEX = {Livre, Biblioth\`eque ENS Lyon} } @ARTICLE{AvnBoiDevPreYvi97, author = {Francis Avnaim and Jean-Daniel Boissonnat and Olivier Devillers and Franco Preparata and Mariette Yvinec}, JOURNAL = {Algorithmica}, TITLE = {Evaluating signs of determinants using single precision arithmetic}, VOLUME = {17}, NUMBER = {2}, PAGES = {111-132}, YEAR = {1997}, CRINDEX = {Fichier}, url = {http://link.springer.de/link/service/journals/00453/papers97/17n2p111.pdf}, url.ALT = {ftp://ftp.inria.fr/INRIA/publication/RR/RR-2306.ps.gz} } @ARTICLE{Bai93, author = {David H. Bailey}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = {3}, PAGES = {288-319}, TITLE = {Algorithm 719, multiprecision translation and execution of {F}ortran programs}, VOLUME = {19}, YEAR = {1993}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/toms/1993-19-3/p288-bailey/p288-bailey.pdf} } @ARTICLE{Bai95, author = {David H. Bailey}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = {4}, PAGES = {379-387}, TITLE = {A {F}ortran-90 based multiprecision system}, VOLUME = {21}, YEAR = {1995}, CRINDEX = {Fichier}, url = {http://science.nas.nasa.gov/Pubs/TechReports/RNRreports/dbailey/RNR-94-013/RNR-94-013.ps}, url.ALT = {http://science.nas.nasa.gov/Pubs/TechReports/RNRreports/dbailey/RNR-94-013/RNR-94-013.ps} } @TECHREPORT{BaiBorGir93, author = {David H. Bailey and Jonathan M. Borwein and Roland Girgensohn}, INSTITUTION = {NASA Ames Research Center}, NOTE = {To appear in Experimental Mathematics}, NUMBER = {RNR-93-014}, TITLE = {Experimental evaluation of {E}uler sums}, TYPE = {Technical report}, YEAR = {1993}, CRINDEX = {Classeur}, url = {http://science.nas.nasa.gov/Pubs/TechReports/RNRreports/dbailey/RNR-93-014/RNR-93-014.ps} } @ARTICLE{Bar72, author = {Erwin H. Bareiss}, JOURNAL = {J. Institute of Mathematics and its Applications}, PAGES = {68-104}, TITLE = {Computational solution of matrix problems over an integral domain}, VOLUME = {10}, YEAR = {1972} } @TECHREPORT{Bea96, author = {Olivier Beaumont}, INSTITUTION = {Institut de Recherche en Informatique et Syst{\`e}mes Aleatoires}, NUMBER = {1007}, TITLE = {Evaluation of polynomials by use of simplex algorithm}, YEAR = {1996}, CRINDEX = {Classeur}, url = {ftp://ftp.irisa.fr/techreports/1996/PI-1007.ps.gz} } @TECHREPORT{Bea97, author = {Olivier Beaumont}, INSTITUTION = {Institut de Recherche en Informatique et Syst{\`e}mes Aleatoires}, NUMBER = {1O98}, TITLE = {A simplex-like algorithm for interval linear systems}, YEAR = {1997}, CRINDEX = {Classeur}, url = {ftp://ftp.irisa.fr/techreports/1997/PI-1098.ps.gz} } @INPROCEEDINGS{BinFio85, author = {Dario Bini and G. Fiorentino}, BOOKTITLE = {Proceedings of the POSSO Workshop on Software}, TITLE = {A multiprecision implementation of a poly-algorithm for univariate polynomial zeros}, YEAR = {1985} } @ARTICLE{BorBor84, author = {Jonathan M. Borwein and Peter B. Borwein}, JOURNAL = {SIAM Review}, NUMBER = {3}, PAGES = {351-366}, TITLE = {The arithmetic-geometric mean and fast computation of elmentary functioncs}, VOLUME = {26}, YEAR = {1984}, CRINDEX = {Classeur} } @ARTICLE{BraMonZuf86, author = {Gilles Brassard and Sophie Monet and Daniel Zuffellato}, JOURNAL = {Technique et Science Informatique}, NUMBER = {2}, PAGES = {89-102}, TITLE = {Algorithmes pour l'arithm\'etique des tr\`es grands entiers}, VOLUME = {5}, YEAR = {1986}, CRINDEX = {Classeur} } @ARTICLE{Bre76, author = {Richard P. Brent}, JOURNAL = {Journal of the ACM}, NUMBER = 2, PAGES = {242-251}, TITLE = {Fast multiple-precision evaluation of elementary functions}, VOLUME = 23, YEAR = 1976, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/jacm/1976-23-2/p242-brent/p242-brent.pdf} } @ARTICLE{Bre78a, author = {Richard P. Brent}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = 1, PAGES = {57-70}, TITLE = {A fortran multiple-precision arithmetic package}, VOLUME = 4, YEAR = 1978, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/360000/355775/p57-brent.pdf} } @ARTICLE{Bre78b, author = {Richard P. Brent}, JOURNAL = {ACM Transactions on Mathemetical Software}, NUMBER = 1, PAGES = {71-81}, TITLE = {Algorithm 524. {MP}, a fortran multiple precision arithmetic package}, VOLUME = 4, YEAR = 1978, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/360000/355776/p71-brent.pdf} } @ARTICLE{Bro81, author = {W. S. Brown}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = 4, TITLE = {A simple but realistic model of floating-point computation}, VOLUME = 7, PAGES = {445-480}, YEAR = 1981, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/360000/355975/p445-brown.pdf} } @ARTICLE{BroFel80, author = {W. S. Brown and Stuart I. Feldman}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = 4, TITLE = {Environment Parameters and Basis Functions for Floating-Point Computations}, VOLUME = 6, PAGES = {510-523}, YEAR = 1980, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/360000/355924/p510-brown.pdf} } @PHDTHESIS{Can88, author = {John F. Canny}, SCHOOL = {Massachussetts Institute of Technology}, TITLE = {The complexity of robot motion planning}, YEAR = {1988}, CRINDEX = {Manquant} } @PHDTHESIS{Car94, author = {Jean Fran\c{c}ois Carpraux}, ADDRESS = {Rennes, France}, SCHOOL = {Universit\'e de Rennes}, TITLE = {Quelques outils d'aide au contr\^ole de pr\'ecision en calcul scientifique}, YEAR = {1994}, CRINDEX = {Manquant} } @ARTICLE{CarErhSad94, author = {Jean Fran\c{c}ois Carpraux and Jocelyne Erhel and Miloud Sadkane}, JOURNAL = {Computing}, NUMBER = {3-4}, PAGES = {301-310}, TITLE = {Spectral portrait for non hermitian large sparse matrices}, VOLUME = {53}, YEAR = {1994}, CRINDEX = {Classeur} } @BOOK{Cha.94, author = {Jean Luc Chabert and others}, PUBLISHER = {Belin}, TITLE = {Histoire d'algorithmes~: du caillou \`a la puce}, YEAR = {1994}, CRINDEX = {Biblioth\`eque ENS Lyon} } @BOOK{Cha88, author = {Fran\c{c}oise Chatelin}, PUBLISHER = {Masson}, TITLE = {Valeurs propres de matrices}, YEAR = {1988}, CRINDEX = {Biblioth\`eque ENS Lyon} } @ARTICLE{Cha96, author = {Fran\c{c}oise Chaitin-Chatelin}, JOURNAL = {Journal of Universal Computer Science}, NUMBER = {5}, PAGES = {380-395}, TITLE = {Is finite precision arithmetic useful for physics?}, VOLUME = {2}, YEAR = {1996}, url = {http://www.iicm.edu/jucs_2_5/is_finite_precision_arithmetic/paper.pdf}, CRINDEX = {Fichier} } @INPROCEEDINGS{ChaFra91, author = {Fran\c{c}oise Chatelin and Val\'erie Frayss\'e}, BOOKTITLE = {Symposium on High Performance Computers}, TITLE = {Arithmetic reliability of algorithms}, YEAR = {1991}, CRINDEX = {Manquant} } @INPROCEEDINGS{ChaFra93a, author = {Fran\c{c}oise Chatelin and Val\'erie Frayss\'e}, BOOKTITLE = {12th Householder Symposium on Numerical Algebra}, TITLE = {Distances to singularity viewed by computers}, YEAR = {1993}, CRINDEX = {Manquant} } @INPROCEEDINGS{ChaFra93b, author = {Fran\c{c}oise Chatelin and Val\'erie Frayss\'e}, BOOKTITLE = {Lecture Notes for the Comett European Course}, TITLE = {Qualitative computing: elements of a theory for finite precision computation}, YEAR = {1993}, CRINDEX = {Manquant} } @BOOK{ChaFra96, author = {Fran\c{c}oise Chatelin and Val\'erie Frayss\'e}, PUBLISHER = {Society for Industrial and Applied Mathematics}, TITLE = {Lecture on finite precision computations}, YEAR = {1996}, CRINDEX = {Livre} } @BOOK{ChaGedGonMonWat91, author = {Bruce W. Char and Keith O. Geddes and Gaston H. Gonnet and Michael B. Monagan and Stephen M. Watt}, PUBLISHER = {Springer Verlag}, TITLE = {Maple {V}: langage reference manual}, YEAR = {1991}, CRINDEX = {Biblioth\`eque ENS Lyon} } @INPROCEEDINGS{Che90, author = {Jean-Marie Chesneaux}, BOOKTITLE = {Study of the computing accuracy by using probabilistic approach}, EDITOR = {Christian Ullrich}, PAGES = {19-30}, PUBLISHER = {Baltzer}, TITLE = {Contribution to Computer Arithmetic and Self-Validating Numerical Methods}, YEAR = {1990}, CRINDEX = {Manquant} } @ARTICLE{Che94, author = {Jean-Marie Chesneaux}, JOURNAL = {Numerical Algrithms}, NUMBER = {2-4}, PAGES = {129-143}, TITLE = {The equality relations in scientific computing}, VOLUME = {7}, YEAR = {1994}, CRINDEX = {Classeur} } @ARTICLE{CheVig88, author = {Jean-Marie Chesneaux and Jean Vignes}, JOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences, S\'erie 1}, PAGES = {855-860}, TITLE = {Sur la robustesse de la m\'ethode {CESTAC}}, VOLUME = {307}, YEAR = {1988}, CRINDEX = {Manquant} } @ARTICLE{CheVig93, author = {Jean-Marie Chesneaux and Jean Vignes}, JOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences, S\'erie 2b}, PAGES = {171-176}, TITLE = {L'algorithme de {G}auss en arithm\'etique stochastique}, VOLUME = {316}, YEAR = {1993}, CRINDEX = {Classeur} } @ARTICLE{Cod88, author = {William J. Cody}, JOURNAL = {ACM Transactions on Mathematical Software}, PAGES = {303-311}, NUMBER = {4}, TITLE = {{MACHAR}: a subroutine to dynamically determine machine parameters}, VOLUME = {14}, YEAR = {1988}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/toms/1988-14-4/p303-cody/p303-cody.pdf} } @UNPUBLISHED{Cor94, author = {George F. Corliss}, NOTE = {Article soumis au Journal of Symbolic Computation}, TITLE = {{INTPAK} for interval arithmetic in {M}aple : introduction and applications} } @BOOK{DavSirTou87, author = {J. Davenport and Y. Siret and E. Tournier}, PUBLISHER = {Masson}, TITLE = {Calcul formel~: syst\`emes et algorithmes de manipulations alg\'ebriques}, YEAR = {1987}, CRINDEX = {Biblioth\`eque ENS Lyon} } @ARTICLE{Dix82, author = {John D. Dixon}, JOURNAL = {Numerische Mathematik}, PAGES = {137-141}, TITLE = {Exact solution of linear equations using $p$-adic expansions}, VOLUME = {40}, YEAR = {1982}, CRINDEX = {Manquant} } @ARTICLE{DufGriLew89, author = {Ian S. Duff and Roger G. Grimes and John G. Lewis}, JOURNAL = {ACM Transactions on Mathematical Software}, NUMBER = {1}, PAGES = {1-14}, TITLE = {Sparse matrix test problems}, VOLUME = {15}, YEAR = {1989}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/toms/1989-15-1/p1-duff/p1-duff.pdf} } @ARTICLE{Dup46, author = {A. Dupr\'e}, JOURNAL = {Journal de Math\'ematiques}, TITLE = {Sur le nombre de divisions \`a effectuer pour obtenir le plus grand commun diviseur entre deux nombres entiers}, VOLUME = {XI}, YEAR = {1846}, CRINDEX = {Manquant} } @INPROCEEDINGS{Duv89, author = {Dominique Duval}, BOOKTITLE = {ISSAC'89}, TITLE = {Handling algebraic numbers in computer algebra}, YEAR = {1989}, CRINDEX = {Manquant} } @TECHREPORT{Eij81, author = {P. Eijgenraam}, INSTITUTION = {Math. Centre Tracts, Amsterdam}, NUMBER = {144}, TITLE = {The solution of initial value problems using interval arithmetic}, YEAR = {1981}, CRINDEX = {Manquant} } @INPROCEEDINGS{ErcLan87, author = {Milos Ercegovac and Tomas Lang}, BOOKTITLE = {21st Asilomar Conference on Signals Systems and Computers}, TITLE = {Fast cosine/sine implementation using on-line cordic}, YEAR = {1987}, CRINDEX = {Manquant} } @ARTICLE{ErcLan90, author = {Milos Ercegovac and Tomas Lang}, JOURNAL = IEEETC:JOURNAL, NUMBER = 6, PAGES = {725-740}, TITLE = {Redundant and on-line cordic: application to matrix triangularization and {SVD}}, VOLUME = 39, YEAR = 1990, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1990/pdf/t0725.pdf} } @BOOK{ErcLan94, author = {Milos Ercegovac and Tomas Lang}, PUBLISHER = {Kluwer Academic Publishers}, TITLE = {Division and square root: digit-recurrence algorithms and implementations}, YEAR = {1994}, CRINDEX = {Biblioth\`eque ENS Lyon} } @TECHREPORT{Erh90, author = {Jocelyne Erhel}, INSTITUTION = {IRISA}, NUMBER = {552}, TITLE = {Erreurs de calcul des ordinateurs}, YEAR = {1990}, CRINDEX = {Fichier} } @ARTICLE{Erh93, author = {Jocelyne Erhel}, JOURNAL = {Computing}, NUMBER = {1}, PAGES = {29-44}, TITLE = {Experiments with data perturbations to study condition numbers and numerical stability}, VOLUME = {51}, YEAR = {1993}, CRINDEX = {Classeur} } @BOOK{ForMol67, author = {George E. Forsythe and Cleve B. Moler}, PUBLISHER = {Prentice-Hall}, TITLE = {Computer solution of linear algebraic systems}, YEAR = {1967}, CRINDEX = {M\'ediath\`eque Grenoble} } @inproceedings{ErhJegPhi91, author = {Jocelyne Erhel and Y. J\'egou and Bernard Philippe}, BOOKTITLE = {13th IMACS World Congress on Computation and Applied Mathematics}, TITLE = {Aquarels: a problem-solving environment for numerical quality}, YEAR = {1991}, CRINDEX = {Manquant} } @inproceedings{ErhPhi91a, author = {Jocelyne Erhel and Bernard Philippe}, BOOKTITLE = {IMACS World Congress on Computation and Applied Mathematics}, TITLE = {Aquarels: a problem-solving environment for numerical quality}, YEAR = {1991}, CRINDEX = {Manquant} } @inproceedings{ErhPhi91b, author = {Jocelyne Erhel and Bernard Philippe}, BOOKTITLE = {International Symposium on Computer Arithmetic and Scientific Computing}, TITLE = {Design of a toolbox to control arithmetic reliability}, YEAR = {1991}, CRINDEX = {Manquant} } @PHDTHESIS{Fra89, author = {Philippe Fran\c{}cois}, ADDRESS = {Grenoble, France}, SCHOOL = {Institut National Polytechnique de Grenoble}, TITLE = {Contribution \`a l'\'etude de m\'ethodes de contr\^ole automatique de l'erreur d'arrondi~: la m\'ethodologie {SCALP}}, YEAR = {1989} } @INPROCEEDINGS{Fro91, author = {Christiane Frougny}, PAGES = {17-21}, TITLE = {Representation of numbers in non classical numeration systems}, YEAR = {1991}, ADDRESS = ARITH91:ADDRESS, BOOKTITLE = ARITH91:BOOKTITLE, EDITOR = ARITH91:EDITOR, CRINDEX = ARITH91:HOW } @ARTICLE{GenMar74, author = {W. Morven Gentleman and Scott B. Marovitch}, JOURNAL = {Communications of the ACM}, NUMBER = 5, TITLE = {More on algorithms that reveal properties of floating point arithmetic units}, VOLUME = 17, YEAR = 1974, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/370000/361003/p276-gentleman.pdf} } @BOOK{GilMurWri91, author = {Philip E. Gill and Walter Murray and Margaret H. Wright}, PUBLISHER = {Addison-Wesley}, TITLE = {Numerical linear algebra and optimisation}, YEAR = {1991} } @INPROCEEDINGS{God92, author = {S. K. Godunov}, BOOKTITLE = {Computer Arithmetic and enclosure methods}, EDITOR = {Jurgen Herzberger and L. Atanassova}, PUBLISHER = {North-Holland}, TITLE = {Spectral portraits of matrices and criteria of spectrum dichotomy}, YEAR = {1992} } @BOOK{GolVan89, author = {G. H. Golub and C. F. {Van Loan}}, ADDRESS = {Baltimore et Londres}, NOTE = {Second edition}, PUBLISHER = {John Hopkins University Press}, TITLE = {Matrix computations}, YEAR = {1989} } @PHDTHESIS{Gom94, author = {T. Gomez-Diaz}, ADDRESS = {Limoges, France}, SCHOOL = {Universit\'e de Limoges}, TITLE = {Quelques applications de l'\'evaluation dynamique}, YEAR = {1994} } @BOOK{GreKri84, author = {Gregory, R.T. and Krishnamurthy, E.V.}, PUBLISHER = {Springer-Verlag}, TITLE = {Methods and applications of error-free computations}, YEAR = {1984} } @PROCEEDINGS{GriCor91, EDITOR = {A. Griewank and George F. Corliss}, PUBLISHER = {SIAM}, TITLE = {Automatic differentiation of algorithms - theory, implementation, and application}, YEAR = {1991} } @ARTICLE{Ham70, author = {R. W. Hamming}, JOURNAL = {Bell Systems Technical Journal}, PAGES = {1609-1625}, TITLE = {On the distribution of numbers}, VOLUME = 49, YEAR = 1970, CRINDEX = {Computer Arithmetic I JM2}, KEYWORDS = {accuracy control,floating-point arithmetic,number systems} } @INPROCEEDINGS{HeiRecRoy91, author = {J. Heintz and T. Recio and M-F. Roy}, BOOKTITLE = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science}, PAGES = {137-163}, TITLE = {Algorithms in real algebraic geometry and applications to computational geometry}, VOLUME = 6, YEAR = 1991 } @ARTICLE{HemCav94, author = {Nariankadu D. Hemkumar and Josepf R. Cavallaro}, JOURNAL = IEEETC:JOURNAL, PAGES = {941-954}, TITLE = {Redundant and on-line cordic for unitary transformations}, YEAR = 1994, NUMBER = 8, VOLUME = 43, crindex = IEEETC:43:8:HOW, url = IEEETC:43:8:URL } @BOOK{Her94, ADDRESS = {Amsterdam}, EDITOR = {Jurgen Herzberger}, PUBLISHER = {North-Holland, Elsvier}, SERIES = {Studies in Computational mathematics}, TITLE = {Topics in validated computations}, YEAR = {1994} } @TECHREPORT{Hig93, author = {Nicholas J. Higham}, INSTITUTION = {University of Manchester}, NUMBER = 237, TITLE = {The test matrix toolbox for {M}atlab}, TYPE = {Numerical Analysis report}, YEAR = 1993 } @BOOK{Hig96, author = {Nicholas J. Higham}, PUBLISHER = {SIAM}, TITLE = {Accuracy and stability of numerical algorithms}, YEAR = 1996, CRINDEX = {Livre, Biblioth{\`e}que ENS Lyon}, url = {http://www.ma.man.ac.uk/~higham/asna.html} } @TECHREPORT{IBM90, author = {IBM}, ADDRESS = {Boblinger}, INSTITUTION = {IBM Deutschland GmbH}, NUMBER = {PI 881}, TITLE = {Acrith-{XSC}: {IBM} high accuracy arithmetic - extended scientific computation}, YEAR = {1990} } @PHDTHESIS{Jai93, author = {P. Jaillon}, ADDRESS = {Saint-\'Etienne, France}, SCHOOL = {\'Ecole Nationale Sup\'erieure des Mines de Saint-\'Etienne}, TITLE = {Proposition d'une arithm\'etique rationnelle paresseuse et d'un outil d'aide \`a la saisie d'objets en synth\`ese d'images}, YEAR = {1993}, KEYWORDS = {arithmetic, lazy, precision} } @INCOLLECTION{Jan88, author = {Ch. Jansson}, BOOKTITLE = {Scientific computation with automatic result verification}, EDITOR = {Ulrich W. Kulisch, Hans J. Stetter}, PAGES = {33-46}, PUBLISHER = {Springer-Verlag}, SERIES = {Computing}, TITLE = {A self-validating method for solving linear programming problems with interval input data}, VOLUME = {Supplementum 6}, YEAR = {1988} } @ARTICLE{Jan91, author = {C. Jansson}, JOURNAL = {Computing}, NUMBER = {1}, PAGES = {1-9}, TITLE = {A geometric approach for computing a posteriori error bounds for the solution of a linear system}, VOLUME = {47}, YEAR = {1991}, CRINDEX = {Classeur} } @INPROCEEDINGS{Kah72, author = {William Kahan}, BOOKTITLE = {Information Processing'71}, PAGES = {1214-1239}, PUBLISHER = {North-Holland}, TITLE = {A Survey of Error Analysis}, VOLUME = {2}, YEAR = {1972} } @UNPUBLISHED{Kah86, author = {William Kahan}, NOTE = {manuscript}, TITLE = {Calculating Area and Angle of a Needle-like Triangle}, YEAR = {1986} } @ARTICLE{Kar85, author = {Richard Karpinski}, PAGES = {223-235}, JOURNAL = {Byte}, TITLE = {{PARANOIA}: a Floating-Point Benchmark}, VOLUME = {10}, NUMBER = {2}, YEAR = {1985}, CRINDEX = {Classeur} } @ARTICLE{KarLieNac91, author = {Michael Karasick and Derek Lieber and Lee R. Nackmann}, JOURNAL = {ACM Transactions on Graphics}, PAGES = {71-91}, TITLE = {Efficient {D}elaunay triangulation using rational arithmetic}, VOLUME = {10}, NUMBER = {1}, YEAR = {1991}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/tog/1991-10-1/p71-karasick/p71-karasick.pdf} } @ARTICLE{KarOfm62, author = {Anatolii Karatsuba and Yu Ofman}, JOURNAL = {Doklady Akademii Nauk SSSR}, TITLE = {Multiplication of multidigit numbers on automata}, NUMBER = {2}, PAGES = {293-294}, VOLUME = {145}, YEAR = {1962}, CRINDEX = {Traduit} } @BOOK{KauKulUll87, ADDRESS = {Stuttgart}, EDITOR = {Kaucher, E. and Ulrich W. Kulisch and Christian Ullrich}, PUBLISHER = {B.G. Teubner}, SERIES = {Scientific computation and programming languages}, TITLE = {Computer Arithmetic}, YEAR = {1987} } @ARTICLE{Kea90, author = {Ralph Baker Kearfott}, JOURNAL = {AMS Lectures in Applied Mathematics}, PAGES = {337-357}, TITLE = {Interval arithmetic techniques in the computational solution of nonlinear systems of equations: introduction, examples and comparisons}, VOLUME = {26}, YEAR = {1990} } @ARTICLE{KeaDawDuHu94, author = {Ralph Baker Kearfott and M. Dawande and K. S. Du and C. Y. Hu}, JOURNAL = {ACM Transactions on Mathematical Software}, TITLE = {Algorithm 737: {INTLIB} : a portable {F}ortran 77 interval standard function}, PAGES = {447-459}, NUMBER = {4}, VOLUME = {20}, YEAR = {1994}, CRINDEX = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/toms/1994-20-4/p447-kearfott/p447-kearfott.pdf} } @BOOK{KeaKre96, author = {Ralph Baker Kearfott and Vladik Kreinovich}, PUBLISHER = {Kluwer Academic Publishers}, TITLE = {Applications of Interval Computations}, YEAR = {1996} } @BOOK{KlaKulWieLawRau93, author = {R. Klatte and Ulrich W. Kulisch and A. Wiethoff and C. Lawo and M. Rauch}, PUBLISHER = {Springer-Verlag}, TITLE = {{C-XSC} -- a {C++} class library for extended scientific computing}, YEAR = {1993} } @BOOK{Knu73, author = {Donald E. Knuth}, PUBLISHER = {Addison Wesley}, NOTE = {Second edition}, TITLE = {The art of computer programming: Seminumerical Algorithms}, YEAR = {1973}, CRINDEX = {Biblioth\`eque ENS Lyon} } @BOOK{Knu97, author = {Donald E. Knuth}, NOTE = {Third edition}, PUBLISHER = {Addison-Wesley}, TITLE = {The Art of Computer Programming: Seminumerical Algorithms}, YEAR = {1997}, CRINDEX = {Livre} } @BOOK{Ko91, author = {Ker-I Ko}, PUBLISHER = {Birkh\"auser}, SERIES = {Progress in Theoretical Computer Science}, TITLE = {Complexity Theory of Real Functions}, YEAR = {1991} } @ARTICLE{Kob94, author = {L. Kobbelt}, JOURNAL = {Computing}, NUMBER = {4}, PAGES = {355-369}, TITLE = {A fast dot-product algorithm with minimal rounding errors}, VOLUME = {52}, YEAR = {1994}, CRINDEX = {Classeur}, url = {http://sSs.inrialpes.fr/cgi-bin/sSs/sommaire?id_sommaire=0010-485X/52/4#355-370} } @BOOK{Kor93, author = {Israel Koren}, PUBLISHER = {Prentice Hall}, TITLE = {Computer Arithmetic Algorithms}, YEAR = {1993}, CRINDEX = {Livre} } @ARTICLE{Kra88, author = {W. Kr\"amer}, JOURNAL = {Computing}, PAGES = {185-212}, TITLE = {Inverse standard functions for real and complex point and interval arguments with dynamic accuracy}, VOLUME = {Supplementum 6}, YEAR = {1988} } @INPROCEEDINGS{Kul83, author = {Ulrich W. Kulisch}, BOOKTITLE = {A new approach to scientific computation}, EDITOR = {Ulrich W. Kulisch and Willard L. Miranker}, PAGES = {1-26}, PUBLISHER = {Academic Press}, TITLE = {A new arithmetic for scientific computation}, YEAR = {1983} } @BOOK{KulSte88, EDITOR = {Ulrich W. Kulisch and Hans J. Stetter}, NUMBER = {Supplementum 6}, PUBLISHER = {Springer-Verlag}, SERIES = {Computing}, TITLE = {Scientific computation with automatic result verification}, YEAR = {1988}, CRINDEX = {M\'ediath\`eque Grenoble} } @ARTICLE{LarSam80, author = {J. L. Larson and A. H. Sameh}, JOURNAL = {Computing}, PAGES = {275-297}, TITLE = {Algorithms for roundoff error analysis - A relative approach}, VOLUME = {24}, YEAR = {1980} } @BOOK{LasThe86, author = {P. Lascaux and R. Th\'eodor}, PUBLISHER = {Masson}, TITLE = {Analyse num\'erique matricielle appliqu\'ee l'art de l'ing\'enieur}, YEAR = {1986}, CRINDEX = {Biblioth\`eque ENS Lyon} } @ARTICLE{Les95, author = {David Lester}, JOURNAL = {Journal of Universal Computer Science}, NUMBER = {7}, TITLE = {Exact statistics and continued fractions}, VOLUME = {1}, PAGES = {504-513}, YEAR = {1985}, url = {http://www.iicm.edu/jucs_1_7/exact_statistics_and_continued/paper.pdf}, CRINDEX = {Fichier} } @INPROCEEDINGS{LinSip89, author = {Haixiang Lin and Henk Sips}, ADDRESS = {Santa-Monica, California}, BOOKTITLE = {Proceedings of the 9th Symposium on Computer Arithmetic}, EDITOR = {Milos D. Ercegovac and Earl Swartzlander}, TITLE = {On-Line cordic algorithms}, YEAR = {1989}, CRINDEX = {Livre JM2} } @INCOLLECTION{Loh87, author = {R. Lohner}, BOOKTITLE = {Computer Arithmetic}, EDITOR = {E. Kaucher, Ulrich W. Kulisch, Ch. Ullrich}, PUBLISHER = {Teubner, Stuttgart}, TITLE = {Enclosing the solutions of ordinary initial- and boundary-value problems}, YEAR = {1987} } @ARTICLE{LozTur92, author = {D. W. Lozier and P. R. Turner}, JOURNAL = {Computing}, NUMBER = {3-4}, PAGES = {239-257}, TITLE = {Robust parallel computation in floating-point and {SLI} arithmetic}, VOLUME = {48}, YEAR = {1992} } @INPROCEEDINGS{Men95, author = {Val\'erie M\'enissier-Morain}, ADDRESS = {St-\'Etienne, France}, BOOKTITLE = {1st Real Numbers and Computers Conference}, PAGES = {47-64}, TITLE = {Conception et algorithmique d'une repr\'esentation d'arithm\'etique r\'eelle en pr\'ecision arbitraire}, YEAR = 1995, CRINDEX = {Livre, Fichier}, url = {http://www-calfor.lip6.fr/~vmm/documents/reals95.ps.gz} } @ARTICLE{MicMor97, author = {Dominique Michelucci and Jean-Michel Moreau}, JOURNAL = IEEETC:JOURNAL, NUMBER = {9}, PAGES = {961-975}, TITLE = {Lazy arithmetic}, VOLUME = {46}, YEAR = {1997}, CRINDEX = {Fichier}, url = {http://dlib.computer.org/tc/books/tc1997/pdf/t0961.pdf} } @ARTICLE{MilSpo78, author = {Webb Miller and David Spooner}, JOURNAL = {ACM Transactions on Mathematical Software}, PAGES = {369-387}, TITLE = {Software for roundoff analysis, {II}}, VOLUME = 4, YEAR = 1978, CRINDEX = {Fichier}, url = {http://delivery.acm.org/10.1145/360000/356496/p369-miller.pdf} } @INPROCEEDINGS{NatLan96, author = {Fabrice Nativel and Philippe Langlois}, ADDRESS = {Marseille, France}, BOOKTITLE = {Second Real Numbers and Computer Conference}, PAGES = {199-214}, TITLE = {Reduction automatique des erreurs d'arrondi en arithm\'etique \`a virgule flottante}, YEAR = {1996}, CRINDEX = {Livre} } @MASTERSTHESIS{Ned94, author = {Nedialko {Stoyanov Nedialkov}}, ADDRESS = {Toronto, Ontario}, SCHOOL = {University of Toronto}, TITLE = {Precision control and exception handling in scientific computing}, YEAR = {1994}, CRINDEX = {Fichier}, url = {ftp://ftp.cs.toronto.edu/pub/reports/na/ned-94-msc.ps.Z} } @BOOK{Neu90, author = {Arnold Neumaier}, PUBLISHER = {Cambridge University Press}, TITLE = {Interval methods for systems of equations}, YEAR = 1990, CRINDEX = {Biblioth\`eque ENS Lyon} } @ARTICLE{Neu93, author = {Arnold Neumaier}, TITLE = {The wrapping effect, ellipsoid arithmetic, stability and confidence region}, journal = "Computing Supplementum", volume = "9", pages = "175-190", year = "1993" } @ARTICLE{OdlTer85, author = {A. M. Odlyzko and HJJ {Te Reile}}, JOURNAL = {J. Reine Angew Math}, NUMBER = {357}, PAGES = {138-160}, TITLE = {Disproof of th Mertens Conjecture}, YEAR = {1985} } @ARTICLE{OetPra64, author = {W. Oettli and W. Prager}, JOURNAL = {Numerische Mathematik}, PAGES = {405-9}, TITLE = {Computability of approximate solution of linear equations with given bounds for coefficients right-hand sides}, VOLUME = {6}, YEAR = {1964} } } @BOOK{Omo94, author = {Amos R. Omondi}, PUBLISHER = {Prentice Hall}, TITLE = {Computer arithmetic systems: algorithms, architecture and implementations}, YEAR = {1994}, CRINDEX = {Biblioth{\`e}que ENS Lyon} } @BOOK{OrtRhe70, author = {Ortega, J. M. and Rheinboldt, W. C.}, ADDRESS = {New-York et Londres}, PUBLISHER = {Academic Press}, TITLE = {Iterative solution of nonlinear equations in several variables}, YEAR = {1970} } @BOOKLET{Ove95, author = {M. 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Apolin\'ario}, ADDRESS = {Information Geometers Ltd}, BOOKTITLE = {CSG 94~: Set Theoretic Solid Modelling Techniques and Applications}, PAGES = {163-177}, TITLE = {Boundary Evaluation of CSG models by adaptative triangulation}, YEAR = {1994} } @INPROCEEDINGS{Piq95, author = {J. F. Pique}, BOOKTITLE = {Real Numbers and Computers - Les nombres r\'eels et l'ordinateur (St-\'Etienne, France)}, PAGES = {289-293}, TITLE = {Un algorithme efficace pour l'implantation de contraintes arithm\'etiques en multi-pr\'ecision}, YEAR = {1995} } @ARTICLE{Pol71, author = {J. M. Pollard}, JOURNAL = {Mathematics of Computation}, NUMBER = {114}, PAGES = {365-374}, TITLE = {The Fast Fourier Transform in a Finite Field}, VOLUME = {25}, YEAR = {1971} } @ARTICLE{PolSchShm94, author = {B. T. Polyak and P. S. Scherbakov and S. B. 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Strassen}, JOURNAL = {Computing}, PAGES = {281-292}, TITLE = {Schnelle {M}ultiplikation grosser {Z}ahlen}, VOLUME = {7}, YEAR = {1971}, CRINDEX = {Classeur} } @ARTICLE{Seg90, author = {Mark Segal}, ADDRESS = {Dallas, Texas}, EDITOR = {Forest Baskett}, JOURNAL = {Computer Graphics (SIGGRAPH '90 Proceedings)}, NUMBER = {4}, PAGES = {105-114}, TITLE = {Using tolerances to guarantee valid polyhedral modeling results}, VOLUME = {24}, YEAR = {1990}, KEYWORDS = {solid modeling, boundary representation, numerical uncertainty} } @ARTICLE{Smi89, author = {David M. Smith}, JOURNAL = {Mathematics of Computation}, NUMBER = {185}, PAGES = {131-134}, TITLE = {Efficient Multiple-Precision Evaluation of Elementary Functions}, VOLUME = {52}, YEAR = {1989} } @ARTICLE{Ste78, author = {Hans J. Stetter}, JOURNAL = {Numerische Mathematik}, PAGES = {425-443}, TITLE = {The defect correction principle and discretization methods}, VOLUME = {29}, YEAR = {1978} } @BOOK{Ste95, author = {G. W. 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Trefethen}, BOOKTITLE = {Third International Congress on Industrial and Applied Mathematics}, EDITOR = {Akademic-Verlag, Berlin}, TITLE = {Pseudospectra of linear operators}, YEAR = {1995} } @TECHREPORT{UllWol89, author = {Christian Ullrich and J. {Wolff Von Gudenberg}}, INSTITUTION = {Research Report ESPRIT}, NOTE = {Publi\'e par Springer Verlag}, NUMBER = {Projet 1072-DIAMOND, Vol. 1}, TITLE = {Accurate numerical algorithms}, YEAR = {1989} } @INPROCEEDINGS{Var90, author = {R.S. Varga}, BOOKTITLE = {SIAM Philadelphia}, TITLE = {Scientific computation on mathematical problems and conjectures}, YEAR = {1990} } @ARTICLE{Vig84a, author = {Jean Vignes}, JOURNAL = {R.A.I.R.O.}, NUMBER = {1}, PAGES = {1-18}, TITLE = {Impl\'ementation des m\'ethodes d'optimisation~: test d'arr\^et optimal, contr\^ole et pr\'ecision de la solution (I)}, VOLUME = {18}, YEAR = {1984} } @ARTICLE{Vig84b, author = {Jean Vignes}, JOURNAL = {R.A.I.R.O.}, NUMBER = {2}, PAGES = {103-129}, TITLE = {Impl\'ementation des m\'ethodes d'optimisation~: test d'arr\^et optimal, contr\^ole et pr\'ecision de la solution (II)}, VOLUME = {18}, YEAR = {1984} } @ARTICLE{Vig93a, author = {Jean Vignes}, JOURNAL = {Math. Comp. 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Wilkinson}, PUBLISHER = {Oxford University Press}, TITLE = {The algebraic eigenvalue problem}, YEAR = {1965}, CRINDEX = {Biblioth\`eque ENS Lyon} } @TECHREPORT{Wol94, author = {J. {Wolff Von Gudenberg}}, ADDRESS = {Le Chesnay, France}, INSTITUTION = {Institut National de Recherche en Informatique et en Automatique}, NUMBER = {2413}, TITLE = {Comparison of accurate dot product algorithms}, TYPE = {Research report}, CRINDEX = {Fichier}, url = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-2413.pdf}, YEAR = {1994} } @PROCEEDINGS{Woo94, ADDRESS = {Winchester, United Kingdom}, EDITOR = {John Woodwark}, PUBLISHER = {Information Geometers Ltd}, TITLE = {Set Theoretic Solid Modelling Techniques and Applications}, YEAR = {1994} } @ARTICLE{Zur94, author = {Dan Zuras}, JOURNAL = IEEETC:JOURNAL, NUMBER = 8, PAGES = {899-908}, TITLE = {More on squaring and multiplying large integers}, VOLUME = 43, YEAR = 1994, crindex = IEEETC:43:8:HOW, url = IEEETC:43:8:URL } @BOOKLET{acrith, HOWPUBLISHED = {IBM GC 33-6163-02}, TITLE = {High accuracy arithmetic subroutine library ({ACRITH}): general information manual}, YEAR = {1986} } @MANUAL{nag, ORGANIZATION = {NAG}, TITLE = {NAG Library} } @Book{AbrSte72, editor = {Milton Abramowitz and Irene A. Stegun}, note = {Ninth printing}, publisher = {Dover publications}, title = {Handbook of mathematical functions with formulas, graphs, and mathematical tables}, year = 1972, crindex = {Biblioth{\`e}que ENS Lyon} } @Book{Acz96, author = {Amir D. Aczel}, publisher = {Four Walls Eight Windows}, title = {Fermat's last theorem: unlocking the secret of an ancient mathematical problem}, year = 1996, crindex = {Livre} } @Article{AdrBraChe82, author = {W. Richards Adrion and Martha A. Branstad and John C. Cherniavsky}, journal = {ACM Computing Surveys}, number = 2, title = {Validation, verification and testing of computer software}, pages = {159-192}, volume = 14, year = 1982, crindex = {Fichier}, url = {http://www.acm.org/pubs/articles/journals/surveys/1982-14-2/p159-adrion/p159-adrion.pdf} } @Book{AhoSetUll86, author = {Alfred V. Aho and Ravi Sethi and Jeffrey D. Ullman}, publisher = {Addison Wesley}, title = {Compilers}, year = 1986, crindex = {Livre} } @Book{Akl89, author = {Selim G. Akl}, publisher = {Prentice Hall}, title = {The design and analysis of parallel algorithms}, year = 1989, crindex = {Biblioth{\`e}que ENS Lyon} } @Article{AlfAluGoiRan97, author = {Ibraheem Al-furiah and Srinivas Aluru and Sanjay Goil and Sanjay Ranka}, journal = {IEEE Transactions on Parallel and Distributed Systems}, number = 8, pages = {813-824}, title = {Practical algorithm for selection on coarse grained parallel computers}, volume = 8, year = 1997, crindex = {Fichier}, url = {http://dlib.computer.org/td/books/td1997/pdf/l0813.pdf} } @Book{AlmGot89, author = {George S. Almasi and Allan J. Gottlieb}, publisher = {Benjamin / Cummings}, title = {Highly Parallel Computing}, year = 1989, crindex = {Livre} } @InProceedings{AmeBerRidPot01, author = {Ahmed Amerkad and Yves Bertot and Laurence Rideau and Lo{\"\i}c Pottier}, title = {Mathematics and proof presentation in {P}coq}, booktitle = {Proceedings of Proof Transformation and Presentation and Proof Complexities}, address = {Siena, Italy}, year = 2001, url = {http://www-sop.inria.fr/lemme/Laurence.Rideau/proof-pcoq.ps.gz}, } @Book{Amp27, author = {Andr{\'e}-Marie Amp{\`e}re}, note = {Fac simil{\'e} publi{\'e} en 1990}, publisher = {Firmin Didot}, series = {M{\'e}moires de l'Acad{\'e}mie Royale des Sciences de l'Institut de France}, title = {Sur la th{\'e}orie math{\'e}matique des ph{\'e}nom{\`e}nes {\'e}lectordynamique uniquement d{\'e}duite de l'exp{\'e}rience}, year = 1827, crindex = {Fichier}, url = {http://gallica.bnf.fr/scripts/ConsultationTout.exe?O=n029046} } @Book{ArnFra88, author = {Jean-Marie Arnaudies and Henri Fraysse}, publisher = {Dunod Universit{\'e}}, title = {Cours de math{\'e}matiques --- 2~: Analyse}, year = 1988, crindex = {Biblioth{\`e}que ENS Lyon} } @Article{AshMet59, author = {Robert L. 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Atkinson}, NOTE = {Second edition}, publisher = {John Wiley \& Sons}, title = {An introduction to numerical analysis}, year = 1989, crindex = {Biblioth{\`e}que ENS Lyon} } @Article{BabBjoLinSvaWel99, author = {Babson, Eric and Bj\"oerner, Anders and Linusson, Svante and Shareshian, John and Welker, Volkmar}, journal = {Topology}, number = 2, volume = 38, title = {Complexes of not $i$-connected graphs}, pages = {271-299}, year = 1999, crindex = {Fichier}, url = {http://www.sciencedirect.com/} } @Book{Bac12, author = {Claude Gaspar Bachet}, publisher = {Pierre Rigaud}, title = {Probl{\`e}mes plaisants et d{\'e}lectables qui se font par les nombres}, year = 1612, crindex = {Biblioth{\`e}que ENS Lyon} } @INPROCEEDINGS{BadJaj96, author = {David A. 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Brightman and Warren Ferguson}, institution = {US Patent Office}, number = {5~042~001}, title = {Method and apparatus for performing mathematical functions using polynomial approximation and a rectangular aspect ratio multiplier}, type = {US Patent}, year = {1991}, crindex = {Fichier}, url = {http://www.patents.ibm.com/details?pn=US05041001__} } @Techreport{BriMat91a, author = {Willard S. Briggs and David W. Matula}, institution = {US Patent Office}, number = {5~046~038}, title = {Methods and appartus for performing division using a rectangular aspect ratio multiplier}, type = {US Patent}, year = {1991}, crindex = {Classeur}, url = {http://www.patents.ibm.com/details?pn=US05046038__} } @Techreport{BriMat91b, author = {Willard S. Briggs and David W. Matula}, institution = {US Patent Office}, number = {5~307~303}, title = {Methods and appartus for performing division using a rectangular aspect ratio multiplier}, type = {US Patent}, year = {1991}, crindex = {Classeur}, url = {http://www.patents.ibm.com/details?pn=US05307303__} } @Techreport{BriMat92, author = {Willard S. Briggs and David W. Matula}, institution = {US Patent Office}, number = {5~144~576}, title = {Signed digit multiplier}, type = {US Patent}, year = {1992}, crindex = {Fichier}, url = {http://www.patents.ibm.com/details?pn=US05144576__} } @Techreport{BriMat93a, author = {Willard S. Briggs and David W. Matula}, institution = {US Patent Office}, number = {5~184~318}, title = {Rectangular array signed digit multiplier}, type = {US Patent}, year = {1993}, crindex = {Classeur}, url = {http://www.patents.ibm.com/details?pn=US05184318__} } @INPROCEEDINGS{BriMat93b, author = {Willard S. Briggs and David W. Matula}, title = {A $17 \times 69$ bit multiply and add unit with redundant binary feedback and single cycle latency}, pages = {163-170}, year = {1993}, address = ARITH93:address, booktitle = ARITH93:booktitle, editor = ARITH93:editor, crindex = ARITH93:HOW } @Techreport{BriMat95, author = {Willard S. Briggs and David W. Matula}, institution = {US Patent Office}, number = {5~475~630}, title = {Methods and appartus for performing prescaled division}, type = {US Patent}, year = {1995}, crindex = {Classeur}, url = {http://www.patents.ibm.com/details?pn=US05475630__} } @INPROCEEDINGS{BroEmiPanPio97, author = {Herv{\'e} Br{\"o}nnimann and Ioannis Z. Emiris and Victor Y. Pan and Sylvain Pion}, address = {Nice, France}, booktitle = {Proceedings of the 13th Annual ACM Symposium on Computational Geometry}, pages = {174-182}, title = {Computing exact geometric predicates using modular arithmetic with single precision}, year = {1997}, crindex = {Fichier}, url = {http://www.acm.org/pubs/articles/proceedings/compgeom/262839/p174-bronnimann/p174-bronnimann.pdf} } @article{BroYvi2K, author = {Herv{\'e} Br{\"o}nnimann and Mariette Yvinec}, journal = {Algorithmica}, title = {Efficient exact evaluation of signs of determinants}, volume = 27, number = 1, pages = {21-56}, year = 2000, crindex = {Fichier}, url = {http://link.springer.de/link/service/journals/00453/papers/0027001/00270021.pdf} } @INPROCEEDINGS{BroYvi97, author = {Herv{\'e} Br{\"o}nnimann and Mariette Yvinec}, address = {Nice, France}, booktitle = {Proceedings of the 13th Annual ACM Symposium on Computational Geometry}, pages = {166-173}, title = {Efficient exact evaluation of signs of determinants}, year = {1997}, crindex = {Fichier}, url = {http://www.acm.org/pubs/articles/proceedings/compgeom/262839/p166-bronnimann/p166-bronnimann.pdf}, url.ALT = {ftp://ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-3051.pdf} } @ARTICLE{BruLan99, author = {Javier D. 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@MANUAL{Int99d, NOTE = {System Programming Guide}, ORGANIZATION = {Intel}, volume = {3}, title = {Intel Architecture Software Developer's Manual}, year = {1999}, crindex = {Fichier}, url = {ftp://download.intel.com/design/PentiumII/manuals/24319202.pdf} } @inproceedings{IoaMat98, author = {Cristina Iordache and David Matula}, title = {Analysis of reciprocal and square root reciprocal instructions in the {AMD} {K}6-2 implementation of {3DNow}!}, booktitle = {Real Number Computation}, address = {Indianapolis, Indiana}, editor = {Abbas Edalat and David Matula and Philipp S{\"u}nderhauf}, year = 1998, crindex = {Fichier}, url = {http://www.elsevier.nl/gej-ng/31/29/23/48/23/38/tcs24004.ps} } @INPROCEEDINGS{Ise97, author = {Arieh Iserles}, address = {Berlin, Germany}, booktitle = {Proceedings of the 15th IMACS World Congress on Computational and Applied Mathematics}, pages = {1-9}, title = {Insight, not just numbers}, volume = {2}, year = {1997}, crindex = {Fichier, Livre, Transparents} } 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