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Publications of Nicolas Louvet

Thesis

  1. Nicolas Louvet. Algorithmes compensés en arithmétique flottante : précision, validation, performances. Doctorat en Informatique, Université de Perpignan Via Domitia, November 2007. [bibtex-entry]


Articles in journal or book chapters

  1. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Algorithms for accurate, validated and fast computations with polynomials. Japan Journal of Industrial and Applied Mathematics, Special issue on Verified Numerical Computation. 26(2,3):191-214, 2009. [bibtex-entry]


Conference articles

  1. Philippe Langlois and Nicolas Louvet. Accurate solution of triangular linear system. In 13th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, El Paso (TX), USA, September 2008. [bibtex-entry]


  2. Philippe Langlois and Nicolas Louvet. Compensated Horner algorithm in K times the working precision. In J.D. Brugera and M. Daumas, editors, RNC-8, Real Numbers and Computer Conference, Santiago de Compostela, Spain, pages 157-166, July 2008. [bibtex-entry]


  3. Philippe Langlois and Nicolas Louvet. Faithful Horner Algorithm. In SIAM, editor, 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, pages 252, July 2007. Society for Industrial and Applied Mathematics. [bibtex-entry]


  4. Philippe Langlois and Nicolas Louvet. How to Ensure a Faithful Polynomial Evaluation with the Compensated Horner Algorithm?. In P. Kornerup and J.-M. Muller, editors, ARITH'18, 18th IEEE International Symposium on Computer Arithmetic, number ISBN 0-7695-2854-6, pages 141-149, June 2007. IEEE Computer Society. [bibtex-entry]


  5. Philippe Langlois and Nicolas Louvet. Operator Dependant Compensated Algorithms. In Proceedings of the 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Duisburg, Germany, 2007. IEEE Conference Proceedings. Note: 11 pages. [bibtex-entry]


  6. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Accurate dot products with FMA. In G. Hanrot and P. Zimmermann, editors, RNC-7, Real Numbers and Computer Conference, Nancy, France, pages 141-142, July 2006. [bibtex-entry]


  7. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Choosing a twice more accurate dot product implementation. In International Conference of Numerical Analysis and Applied Mathematics 2006, Hersonnisos, Crete, Greece, pages 498-499, September 2006. [bibtex-entry]


  8. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Fused Multiply and Add Implementations of the Compensated Horner scheme. In P. Hertling, C.M. Hoffmann, W. Luther, and N. Revol, editors, Reliable Implementation of Real Number Algorithms: Theory and Practice, Dagstuhl Seminar 6021, January 2006. [bibtex-entry]


  9. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Improving the compensated Horner scheme with a Fused Multiply and Add. In Proceedings of the 21st Annual ACM Symposium on Applied Computing, volume 2, pages 1323-1327, April 2006. Association for Computing Machinery. [bibtex-entry]


  10. Philippe Langlois, Stef Graillat, and Nicolas Louvet. Compensated Horner Scheme. In Bruno Buchberger, Shin'ichi Oishi, Michael Plum, and Sigfried M. Rump, editors, Algebraic and Numerical Algorithms and Computer-assisted Proofs, number 05391 of Dagstuhl Seminar Proceedings, pages 1-29, 2006. Internationales Begegnungs- und Forschungszentrum (IBFI), Schloss Dagstuhl, Germany. [WWW] [bibtex-entry]


  11. Philippe Langlois and Nicolas Louvet. Accurate Polynomial Evaluation in Floating Point Arithmetic. In 12th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN'06, Duisburg, Germany, September 2006. [bibtex-entry]


  12. Philippe Langlois and Nicolas Louvet. Fast and Extra Precise Substitution. In CSC05: Second International Workshop on Combinatorial Scientific Computing, June 2005. Toulouse, France. [bibtex-entry]


  13. Philippe Langlois and Nicolas Louvet. Solving Triangular Systems More Accurately and Efficiently. In Proceedings of the 17th IMACS World Congress, Paris, volume CD-ROM, pages 1-10, July 2005. [bibtex-entry]


Internal reports

  1. Philippe Langlois and Nicolas Louvet. More Instruction Level Parallelism Explains the Actual Efficiency of Compensated Algorithms. Technical Report hal-00165020, DALI Research Team, HAL-CCSD, July 2007. Note: (IEEE Trans. Computers, in revision). [WWW] [bibtex-entry]


  2. Stef Graillat, Philippe Langlois, and Nicolas Louvet. Compensated Horner Scheme. Research Report 4, DALI Research Team, Université de Perpignan, France, July 2005. [bibtex-entry]



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Last modified: Thu May 13 12:44:47 2010
Author: langlois.


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