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Some Formal Tools for Computer Arithmetic: Flocq and GappaARITH 2021 - 28th IEEE International Symposium on Computer Arithmetic, Jun 2021, Online, Italy
Communication dans un congrès
hal-03233227v1
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Sharp error bounds for complex floating-point inversionNumerical Algorithms, 2016, 73 (3), pp.735-760. ⟨10.1007/s11075-016-0115-x⟩
Article dans une revue
ensl-01195625v2
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Implementing decimal floating-point arithmetic through binary: some suggestions21st IEEE International Conference on Application-specific Systems, Architectures and Processors (ASAP 2010), Jul 2010, Rennes, France. pp.317-320, ⟨10.1109/ASAP.2010.5540969⟩
Communication dans un congrès
ensl-00463353v2
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Evaluating Elementary FunctionsNicholas Higham. Princeton Companion to Applied Mathematics, Princeton University Press, pp.2, 2014
Chapitre d'ouvrage
ensl-00989001v1
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On formal methods for certifying floating-point C programs[Research Report] RR-6927, INRIA. 2009, pp.34
Rapport
inria-00383793v1
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An efficient rounding boundary test for pow(x,y) in double precisionIEEE Transactions on Computers, 2009, 58 (2), pp.197-207. ⟨10.1109/TC.2008.202⟩
Article dans une revue
inria-00583988v1
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The functions erf and erfc computed with arbitrary precision and explicit error boundsInformation and Computation, 2012, 216, pp.72 -- 95. ⟨10.1016/j.ic.2011.09.001⟩
Article dans une revue
ensl-00356709v3
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Accurate Complex Multiplication in Floating-Point ArithmeticARITH 2019 - 26th IEEE Symposium on Computer Arithmetic, Jun 2019, Kyoto, Japan. pp.1-7
Communication dans un congrès
hal-02001080v2
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Arithmetic algorithms for extended precision using floating-point expansionsIEEE Transactions on Computers, 2016, 65 (4), pp.1197 - 1210. ⟨10.1109/TC.2015.2441714⟩
Article dans une revue
hal-01111551v2
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Code Synthesis to Optimize Accuracy and Execution Time of Floating-Point Programs2015
Pré-publication, Document de travail
hal-01157509v1
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The Ins and Outs of Solving Quadratic Equations with Floating-Point Arithmetic2023
Pré-publication, Document de travail
hal-04116310v1
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Toward the Integration of Numerical Computations into the OMSCS Framework7th International Workshop on Computer Algebra in Scientific Computing - CASC'2004, 2004, Saint Petersburg, Russia, pp.71-79
Communication dans un congrès
inria-00099920v1
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A Formally-Verified C Compiler Supporting Floating-Point ArithmeticArith - 21st IEEE Symposium on Computer Arithmetic, Apr 2013, Austin, United States. pp.107-115
Communication dans un congrès
hal-00743090v2
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Some Functions Computable with a Fused-mac[Research Report] LIP RR-2004-41, Laboratoire de l'informatique du parallélisme. 2004, 2+10p
Rapport
hal-02101859v1
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Slimmer Formal Proofs for Mathematical Libraries30th IEEE International Symposium on Computer Arithmetic, Sep 2023, Portland (Oregon), United States. pp.4
Communication dans un congrès
hal-04165169v1
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Évaluation efficace de fonctions numériques - Outils et exemplesModélisation et simulation. Université de Lyon; Ecole Normale Supérieure de Lyon - ENS LYON, 2009. Français. ⟨NNT : ⟩
Thèse
tel-00460776v7
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Some notes on the possible under/overflow of the most common elementary functions2007
Pré-publication, Document de travail
ensl-00149414v1
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Midpoints and exact points of some algebraic functions in floating-point arithmeticIEEE Transactions on Computers, 2011, 60 (2), pp.228-241. ⟨10.1109/TC.2010.144⟩
Article dans une revue
ensl-00409366v3
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A new multiplication algorithm for extended precision using floating-point expansionsARITH23, Jul 2016, Santa Clara, United States
Communication dans un congrès
hal-01298195v1
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Contribution to error analysis of algorithms in floating-point arithmeticComputer Arithmetic. Université de Lyon, 2017. English. ⟨NNT : 2017LYSEN038⟩
Thèse
tel-01582218v1
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Formalization of double-word arithmetic, and comments on "Tight and rigorous error bounds for basic building blocks of double-word arithmeticACM Transactions on Mathematical Software, 2022, 48 (1), pp.1-24. ⟨10.1145/3484514⟩
Article dans une revue
hal-02972245v2
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On the Computation of Correctly-Rounded Sums[Research Report] RR-7262, INRIA. 2010, pp.24
Rapport
inria-00475279v1
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Error analysis of some operations involved in the Cooley-Tukey Fast Fourier TransformACM Transactions on Mathematical Software, 2020, 46 (2), pp.1-34. ⟨10.1145/3368619⟩
Article dans une revue
hal-01949458v2
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On the computation of the reciprocal of floating point expansions using an adapted Newton-Raphson iteration25th IEEE International Conference on Application-specific Systems, Architectures and Processors, ASAP, Jun 2014, Zurich, Switzerland. pp.8
Communication dans un congrès
hal-00957379v1
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Implementation and performance evaluation of an extended precision floating-point arithmetic library for high-accuracy semidefinite programmingIEEE Symposium on Computer Arithmetic (Arith24), Jul 2017, London, United Kingdom
Communication dans un congrès
hal-01491255v2
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Flocq: A Unified Library for Proving Floating-point Algorithms in CoqProceedings of the 20th IEEE Symposium on Computer Arithmetic, Jul 2011, Tübingen, Germany. pp.243-252, ⟨10.1109/ARITH.2011.40⟩
Communication dans un congrès
inria-00534854v2
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Innocuous Double Rounding of Basic Arithmetic OperationsJournal of Formalized Reasoning, 2014, 7 (1), pp.131-142. ⟨10.6092/issn.1972-5787/4359⟩
Article dans une revue
hal-01091186v1
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Tradeoffs between Accuracy and Efficiency for Optimized and Parallel Interval Matrix MultiplicationPARA 2012 - Workshop on the State-of-the-Art in Scientific and Parallel Computing, Jun 2012, Helsinki, Finland
Communication dans un congrès
hal-00704288v1
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Automations for verifying floating-point algorithms5th Coq Workshop, Jul 2013, Rennes, France
Communication dans un congrès
hal-01110666v1
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Semi-automatic implementation of the complementary error functionARITH 2019 - 26th IEEE Symposium on Computer Arithmetic, Jun 2019, Kyoto, Japan. pp.1-8
Communication dans un congrès
hal-02002315v2
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