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Computing floating-point square roots via bivariate polynomial evaluation

Claude-Pierre Jeannerod , Hervé Knochel , Christophe Monat , Guillaume Revy
IEEE Transactions on Computers, 2011, 60 (2), pp.214-227. ⟨10.1109/TC.2010.152⟩
Article dans une revue ensl-00559236v1
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Reproducible and Accurate Matrix Multiplication for High-Performance Computing

Caroline Collange , David Defour , Stef Graillat , Roman Iakymchuk
SCAN: Scientific Computing, Computer Arithmetic and Validated Numerics, Sep 2014, Wuerzburg, Germany. pp.42-43
Communication dans un congrès hal-01215627v1
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ExBLAS: Reproducible and Accurate BLAS Library

Roman Iakymchuk , Caroline Collange , David Defour , Stef Graillat
NRE: Numerical Reproducibility at Exascale, Nov 2015, Austin, TX, United States
Communication dans un congrès hal-01202396v3

Design of Fixed-Point Embedded Systems (defis) French ANR Project

Daniel Ménard , Romuald Rocher , Olivier Sentieys , Nicolas Simon , Laurent-Stéphane Didier , et al.
DASIP: Design and Architectures for Signal and Image Processing, Oct 2012, Karlsruhe, Germany. , pp.365-366, 2012
Poster de conférence hal-00822487v1
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Code Synthesis to Optimize Accuracy and Execution Time of Floating-Point Programs

Laurent Thévenoux , Matthieu Martel , Philippe Langlois
2015
Pré-publication, Document de travail hal-01157509v1
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ExBLAS: Reproducible and Accurate BLAS Library

Roman Iakymchuk , Stef Graillat , Caroline Collange , David Defour
RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, Apr 2015, Rennes, France. , 7ème Rencontre Arithmétique de l'Informatique Mathématique, 2015
Poster de conférence hal-01140280v1
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How to square floats accurately and efficiently on the ST231 integer processor

Claude-Pierre Jeannerod , Jingyan Jourdan-Lu , Christophe Monat , Guillaume Revy
2010
Pré-publication, Document de travail ensl-00532829v1
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Reproducible and Accurate Matrix Multiplication for GPU Accelerators

Roman Iakymchuk , David Defour , Caroline Collange , Stef Graillat
2015
Pré-publication, Document de travail hal-01102877v1

Reproducible and Accurate Algorithms for Numerical Linear Algebra

Roman Iakymchuk , David Defour , Caroline Collange , Stef Graillat
PP: Parallel Processing for Scientific Computing, Apr 2016, Paris, France
Communication dans un congrès lirmm-01268048v1
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A Reproducible Accurate Summation Algorithm for High-Performance Computing

Caroline Collange , David Defour , Stef Graillat , Roman Iakymchuk
EX: Exascale Applied Mathematics Challenges and Opportunities, Jul 2014, Chicago, United States
Communication dans un congrès hal-01267825v1
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Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures

Caroline Collange , David Defour , Stef Graillat , Roman Iakymchuk
Parallel Computing, 2015, 49, pp.83-97. ⟨10.1016/j.parco.2015.09.001⟩
Article dans une revue lirmm-01206348v1

Pseudo-random number generator based on mixing of three chaotic maps

Michael François , Thomas Grosges , Dominique Barchiesi , Robert Erra
Communications in Nonlinear Science and Numerical Simulation, 2014, 19 (4), pp.887--895. ⟨10.1016/j.cnsns.2013.08.032⟩
Article dans une revue hal-00936657v1
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Automatic source-to-source error compensation of floating-point programs: code synthesis to optimize accuracy and time

Laurent Thévenoux , Philippe Langlois , Matthieu Martel
Concurrency and Computation: Practice and Experience, 2017, Concurrency and Computation: Practice and Experience, 29 (7), pp.e3953. ⟨10.1002/cpe.3953⟩
Article dans une revue hal-01236919v2
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First steps towards more numerical reproducibility

Fabienne Jézéquel , Philippe Langlois , Nathalie Revol
ESAIM: Proceedings and Surveys, 2014, ESAIM: Proceedings and Surveys, 45, pp.229-238. ⟨10.1051/proc/201445023⟩
Article dans une revue lirmm-00872562v1

Reproducibility and Accuracy for High-Performance Computing

Roman Iakymchuk , Caroline Collange , David Defour , Stef Graillat
RAIM: Rencontres Arithmétiques de l’Informatique Mathématique, Apr 2015, Rennes, France
Communication dans un congrès hal-01140531v1

How to Square Floats Accurately and Efficiently on the ST231 Integer Processor

Claude-Pierre Jeannerod , Jingyan Jourdan-Lu , Christophe Monat , Guillaume Revy
ARITH: Computer Arithmetic, Jul 2011, Tübingen, Germany. pp.77-81, ⟨10.1109/ARITH.2011.19⟩
Communication dans un congrès ensl-00644147v1
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Line-by-line spectroscopic simulations on graphics processing units

Caroline Collange , Marc Daumas , David Defour
Computer Physics Communications, 2008, 178 (2), pp.135-143. ⟨10.1016/j.cpc.2007.08.013⟩
Article dans une revue lirmm-01206361v1
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Automatic Source-to-Source Error Compensation of Floating-Point Programs

Laurent Thévenoux , Philippe Langlois , Matthieu Martel
Computational Science and Engineering (CSE), Oct 2015, Porto, Portugal. pp.9--16, ⟨10.1109/CSE.2015.11⟩
Communication dans un congrès hal-01158399v1

A new binary floating-point division algorithm and its software implementation on the ST231 processor

Claude-Pierre Jeannerod , Hervé Knochel , Christophe Monat , Guillaume Revy , Gilles Villard
ARITH: Computer Arithmetic, Jun 2009, Portland, OR, United States. pp.95-103, ⟨10.1109/ARITH.2009.19⟩
Communication dans un congrès hal-00993090v1
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Reproducible Triangular Solvers for High-Performance Computing

Roman Iakymchuk , David Defour , Caroline Collange , Stef Graillat
2015 12th International Conference on Information Technology - New Generations, Apr 2015, Las Vegas, NV, United States. pp.353-358, ⟨10.1109/ITNG.2015.63⟩
Communication dans un congrès hal-01116588v2
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Numerical Reproducibility for the Parallel Reduction on Multi- and Many-Core Architectures

Caroline Collange , David Defour , Stef Graillat , Roman Iakymchuk
2015
Pré-publication, Document de travail hal-00949355v4

Reproducible floating-point atomic addition in data-parallel environment

David Defour , Caroline Collange
ACSIS, Sep 2015, Lodz, Poland. pp.721-728, ⟨10.15439/2015F86⟩
Communication dans un congrès hal-01267755v1
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Reproducible and Accurate Matrix Multiplication

Roman Iakymchuk , David Defour , Caroline Collange , Stef Graillat
SCAN: Scientific Computing, Computer Arithmetic and Validated Numerics, Sep 2014, Wurzburg, Germany. pp.126-137, ⟨10.1007/978-3-319-31769-4_11⟩
Communication dans un congrès hal-01539180v1
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Algorithms for Accurate, Validated and Fast Polynomial Evaluation

Stef Graillat , Philippe Langlois , Nicolas Louvet
Japan Journal of Industrial and Applied Mathematics, 2009, 26 (2-3), pp.191-214. ⟨10.1007/BF03186531⟩
Article dans une revue hal-00285603v1

Static Analysis

Radhia Cousot , Matthieu Martel
Springer, LNCS (6337), 2010, 978-3-642-15768-4. ⟨10.1007/978-3-642-15769-1⟩
Ouvrages hal-00813003v1
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Automatic Generation of Fast and Certified Code for Polynomial Evaluation

Christophe Mouilleron , Guillaume Revy
ARITH: Computer Arithmetic, Jul 2011, Tübingen, Germany. pp.233-242, ⟨10.1109/ARITH.2011.39⟩
Communication dans un congrès ensl-00531721v1
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CR-LIBM A library of correctly rounded elementary functions in double-precision

Catherine Daramy-Loirat , David Defour , Florent de Dinechin , Matthieu Gallet , Nicolas Gast , et al.
[Research Report] LIP,. 2006
Rapport ensl-01529804v1