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Publications of Stef Graillat

Thesis

  1. Stef Graillat. Fiabilité des algorithmes numériques : pseudo-solutions struturées et précision. Doctorat en Informatique, Université de Perpignan Via Domitia, November 2005. [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]


  2. Stef Graillat and Philippe Langlois. Real and complex pseudozero sets for polynomials with applications. Theor. Inform. Appl., 41(1):45-56, 2007. [bibtex-entry]


  3. Stef Graillat. A note on structured pseudospectra. J. Comput. Appl. Math., 191(1):68-76, 2006. [bibtex-entry]


  4. Stef Graillat. A note on a nearest polynomial with a given root. SIGSAM Bull., 39(2):53-60, 2005. [bibtex-entry]


Conference articles

  1. Stef Graillat and Philippe Langlois. Pseudozero Set of Interval Polynomials. In Proceedings of the 21st Annual ACM Symposium on Applied Computing, volume 2, pages 1655-1659, April 2006. Association for Computing Machinery. [bibtex-entry]


  2. 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]


  3. 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]


  4. 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]


  5. 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]


  6. 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]


  7. Stef Graillat. Computation of pseudozero abscissa. In Dana Petcu and others, editors, Proceedings of the 6th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Timisoara, Romania, pages 176-187, September 2004. [bibtex-entry]


  8. Stef Graillat and Philippe Langlois. A comparison of real and complex pseudozero sets for polynomials with real coefficients. In Christiane Frougny and others, editors, RNC-6, Real Numbers and Computer Conference, Schloss Dagstuhl, Germany, pages 103-112, November 2004. [bibtex-entry]


  9. Stef Graillat and Philippe Langlois. Approximate Polynomial Problems and Associated Tools. In 11th GAMM - IMACS International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Fukuoka, Japan, October 2004. [bibtex-entry]


  10. Stef Graillat and Philippe Langlois. Pseudozero set decides on polynomial stability. In Proceedings of the Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, pages 1-11, July 2004. Note: (CD-ROM, papers/537.pdf). [bibtex-entry]


  11. Stef Graillat and Philippe Langlois. Testing polynomial primality with pseudozeros. In Jean-Claude Bajard and others, editors, RNC-5, Real Numbers and Computer Conference, Lyon, France, pages 121-137, September 2003. [bibtex-entry]


  12. Stef Graillat and Philippe Langlois. Testing polynomial primality with pseudozeros. In Jean-Claude Bajard and others, editors, RNC-5, Real Numbers and Computer Conference, Lyon, France, pages 121-137, September 2003. Note: (Slides available at URL = rlhttp://webdali.univ-perp.fr/ langlois). [bibtex-entry]


Internal reports

  1. Stef Graillat. Pseudozero Set of Multivariate Polynomials. Research Report 02, Équipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, February 2006. [bibtex-entry]


  2. Stef Graillat. Applications of fast and accurate summation in computational geometry. Research Report 03, Équipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, May 2005. [bibtex-entry]


  3. Stef Graillat. Structured Condition Number and Backward Error for Eigenvalue Problems. Research Report 01, Équipe de recherche DALI, Laboratoire LP2A, Université de Perpignan Via Domitia, France, 52 avenue Paul Alduy, 66860 Perpignan cedex, France, January 2005. [bibtex-entry]


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


  5. Françoise Tisseur and Stef Graillat. Structured Condition Numbers and Backward Errors in Scalar Product Spaces. Numerical Analysis Report No. 473, Manchester Centre for Computational Mathematics, Manchester, England, September 2005. [bibtex-entry]


  6. Stef Graillat and Philippe Langlois. Computation of stability radius for polynomials. Preprint No31, Laboratoire MANO, January 2004. [bibtex-entry]


  7. Stef Graillat and Philippe Langlois. More on pseudozeros for univariate polynomials. Preprint No32, Laboratoire MANO, January 2004. Note: (Submitted). [bibtex-entry]


Miscellaneous

  1. Stef Graillat. Pseudozero set of multivariate polynomials. Note: Poster, 8th International Workshop on Computer Algebra in Scientific Computing, Kalamata, Greece, September 12-16, 2005. [bibtex-entry]



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


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