-
1
-
-
0000810983
-
A floating point technique for extending the available precision
-
T.J. Dekker, "A Floating Point Technique for Extending the Available Precision," Numerische Mathematik, vol.18, no.3, pp. 224-242, 1971.
-
(1971)
Numerische Mathematik
, vol.18
, Issue.3
, pp. 224-242
-
-
Dekker, T.J.1
-
2
-
-
0035573113
-
A mechanically validated technique for extending the available precision
-
S. Boldo and M. Daumas, "A Mechanically Validated Technique for Extending the Available Precision," Proc. 35th Asilomar Conf. Signals, Systems, and Computers, pp. 1299-1303, http://perso.ens-lyon.fr/marc. daumas/SoftArith/BolDau01b.pdf, 2001.
-
(2001)
Proc. 35th Asilomar Conf. Signals, Systems, and Computers
, pp. 1299-1303
-
-
Boldo, S.1
Daumas, M.2
-
3
-
-
34848910510
-
Fast and correctly rounded logarithms in double-precision
-
F. de Dinechin, C.Q. Lauter, and J.-M. Muller, "Fast and Correctly Rounded Logarithms in Double-Precision," Theoretical Informatics and Applications, vol.41, pp. 85-102, http://perso.ens-lyon.fr/florent.de. dinechin/recherche/publis/2007-TIA.pdf, 2007.
-
(2007)
Theoretical Informatics and Applications
, vol.41
, pp. 85-102
-
-
De Dinechin, F.1
Lauter, C.Q.2
Muller, J.-M.3
-
4
-
-
34547422405
-
MPFR: A multiple-precision binary floating-point library with correct rounding
-
June
-
L. Fousse, G. Hanrot, V. Lefèvre, P. Pélissier, and P. Zimmermann, "MPFR: A Multiple-Precision Binary Floating-Point Library with Correct Rounding," ACM Trans. Math. Software, vol.33, no.2, p. 13, http://doi.acm.org/ 10.1145/1236463.1236468, June 2007.
-
(2007)
ACM Trans. Math. Software
, vol.33
, Issue.2
, pp. 13
-
-
Fousse, L.1
Hanrot, G.2
Lefèvre, V.3
Pélissier, P.4
Zimmermann, P.5
-
5
-
-
10044279602
-
A simple test qualifying the accuracy of horner's rule for polynomials
-
S. Boldo and M. Daumas, "A Simple Test Qualifying the Accuracy of Horner's Rule for Polynomials," Numerical Algorithms, vol.37, nos. 1-4, pp. 45-60, http://www.ingentaconnect.com/content/klu/numa/2004/ 00000037/F0040001/05276602, 2004.
-
(2004)
Numerical Algorithms
, vol.37
, Issue.1-4
, pp. 45-60
-
-
Boldo, S.1
Daumas, M.2
-
8
-
-
35048841152
-
Classroom examples of robustness problems in geometric computations
-
L. Kettner, K. Mehlhorn, S. Pion, S. Schirra, and C.K. Yap, "Classroom Examples of Robustness Problems in Geometric Computations," Proc. 12th European Symp. Algorithms (ESA '04), pp. 702-713, http://cgal.inria.fr/ Publications/2004/KMPSY04, 2004.
-
(2004)
Proc. 12th European Symp. Algorithms (ESA '04)
, pp. 702-713
-
-
Kettner, L.1
Mehlhorn, K.2
Pion, S.3
Schirra, S.4
Yap, C.K.5
-
9
-
-
84949525085
-
A generic library of floating-point numbers and its application to exact computing
-
M. Daumas, L. Rideau, and L. Théry, "A Generic Library of Floating-Point Numbers and Its Application to Exact Computing," Proc. 14th Int'l Conf. Theorem Proving in Higher Order Logics (TPHOLs '01), pp. 169-184, http:// perso.ens-lyon.fr/marc.daumas/SoftArith/DauRidThe01.ps, 2001.
-
(2001)
Proc. 14th Int'l Conf. Theorem Proving in Higher Order Logics (TPHOLs '01)
, pp. 169-184
-
-
Daumas, M.1
Rideau, L.2
Théry, L.3
-
10
-
-
33745964109
-
-
PhD dissertation,-Ecole Normale Supérieure de Lyon, Nov.
-
S. Boldo, "Preuves Formelles en Arithmétiques à Virgule Flottante," PhD dissertation,-Ecole Normale Supérieure de Lyon, http://www.ens-lyon.fr/ LIP/Pub/Rapports/PhD/PhD2004/PhD2004-05.pdf, Nov. 2004.
-
(2004)
Preuves Formelles en Arithmétiques À Virgule Flottante
-
-
Boldo, S.1
-
12
-
-
67349262285
-
The why/krakatoa/caduceus platform for deductive program verification
-
W. Damm and H. Hermanns, eds. July
-
J.-C. Filliâtre and C. Marché, "The Why/Krakatoa/Caduceus Platform for Deductive Program Verification," Proc. 19th Int'l Conf. Computer Aided Verification (CAV '07), W. Damm and H. Hermanns, eds., http:// www.lri.fr/∼filliatr/ftp/publis/cav07.pdf, July 2007.
-
(2007)
Proc. 19th Int'l Conf. Computer Aided Verification (CAV '07)
-
-
Filliâtre, J.-C.1
Marché, C.2
-
13
-
-
36049025939
-
Formal verification of floating-point programs
-
P. Kornerup and J.-M. Muller, eds. June
-
S. Boldo and J.-C. Filliâ tre, "Formal Verification of Floating-Point Programs," Proc. 18th IEEE Symp. Computer Arithmetic (ARITH '07), P. Kornerup and J.-M. Muller, eds., pp. 187-194, June 2007.
-
(2007)
Proc. 18th IEEE Symp. Computer Arithmetic (ARITH '07)
, pp. 187-194
-
-
Boldo, S.1
Filliâtre, J.-C.2
-
14
-
-
33749583441
-
On the Definition of ulp(x)
-
Laboratoire de l'Informatique du Parallélisme, ftp:// ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-5504.pdf
-
J.-M. Muller, On the Definition of ulp(x), Technical Report LIP RR2005-09 INRIA RR-5504, Laboratoire de l'Informatique du Parallélisme, ftp:// ftp.inria.fr/INRIA/publication/publi-pdf/RR/RR-5504.pdf, 2005.
-
(2005)
Technical Report LIP RR2005-09 INRIA RR-5504
-
-
Muller, J.-M.1
-
15
-
-
84855561154
-
Algolprocedures voor het Berekenen van een Inwendig Product in Dubbele Precisie
-
Technische Hogeschool Eindhoven
-
G.W. Veltkamp, Algolprocedures voor het Berekenen van een Inwendig Product in Dubbele Precisie, RC-Informatie 22, Technische Hogeschool Eindhoven, 1968.
-
(1968)
RC-Informatie
, vol.22
-
-
Veltkamp, G.W.1
-
16
-
-
33749572055
-
ALGOL Procedures voor het Rekenen in Dubbele Lengte
-
Technische Hogeschool Eindhoven
-
G.W. Veltkamp, ALGOL Procedures voor het Rekenen in Dubbele Lengte, RC-Informatie 21, Technische Hogeschool Eindhoven, 1969.
-
(1969)
RC-Informatie
, vol.21
-
-
Veltkamp, G.W.1
-
17
-
-
0031360906
-
High-precision division and square root
-
Dec.
-
A.H. Karp and P. Markstein, "High-Precision Division and Square Root," ACM Trans. Math. Software, vol.23, no.4, pp. 561-589, Dec. 1997.
-
(1997)
ACM Trans. Math. Software
, vol.23
, Issue.4
, pp. 561-589
-
-
Karp, A.H.1
Markstein, P.2
-
18
-
-
33749582568
-
Pitfalls of a full floating-point proof: Example on the formal proof of the veltkamp/dekker algorithms
-
Aug.
-
S. Boldo, "Pitfalls of a Full Floating-Point Proof: Example on the Formal Proof of the Veltkamp/Dekker Algorithms," Proc. Third Int'l Joint Conf. Automated Reasoning (IJCAR '06), pp. 52-66, Aug. 2006.
-
(2006)
Proc. Third Int'l Joint Conf. Automated Reasoning (IJCAR '06)
, pp. 52-66
-
-
Boldo, S.1
-
19
-
-
75449095784
-
Proof and certification for an accurate discriminant
-
Sept.
-
S. Boldo, M. Daumas, W. Kahan, and G. Melquiond, "Proof and Certification for an Accurate Discriminant," Proc. 12th IMACS-GAMM Int'l Symp. Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN '06), Sept. 2006.
-
(2006)
Proc. 12th IMACS-GAMM Int'l Symp. Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN '06)
-
-
Boldo, S.1
Daumas, M.2
Kahan, W.3
Melquiond, G.4
-
21
-
-
34848830926
-
Formally certified floating-point filters for homogeneous geometric predicates
-
G. Melquiond and S. Pion, "Formally Certified Floating-Point Filters for Homogeneous Geometric Predicates," Theoretical Informatics and Applications, vol.41, no.1, pp. 57-70, http://perso.ens-lyon.fr/guillaume. melquiond/doc/07-tia.pdf, 2007.
-
(2007)
Theoretical Informatics and Applications
, vol.41
, Issue.1
, pp. 57-70
-
-
Melquiond, G.1
Pion, S.2
|