S. Graillat, J.-L. Lamotte, and D. Nguyen Hong. Error-free transformation in rounding mode toward zero. Lecture Notes in Computer Science, 5492 :To appear, 2009. bibtex

S. Graillat, J.-L. Lamotte, and D. Nguyen Hong. Extended precision with a rounding mode toward zero environment. application on the cell processor. International Journal of Reliability and Safety, Special issue on "Reliable Engineering Computing, page To appear, 2009. bibtex

R. Alt, J.-L. Lamotte, and S. Markov. Numerical study of algebraic problems using stochastic arithmetic. Large Scale Scientific Computing (LSSC’07), Lecture Notes in Computer Science, 3743 :273–280, 2007. bibtex

R. Alt, J.-L. Lamotte, and S. Markov. Testing stochastic arithmetic and cestac method via polynomial computation. In Proceedings of International Fuzzy System Association (IFSA’07, Lecture Notes in computer Sciences), pages 13–22, Cancun, Mexique, June 18-21 2007.

R. Alt, J.-L. Lamotte, and S. Markov. On the numerical solution to linear problems using stochastic arithmetic. In SAC, pages 1635–1639, 2006.

R. Alt, J.-L. Lamotte, and S. Markov. Abstract structures in stochastic arithmetic. In R. R. Yager (Eds.) B. Bouchon-Meunier, editor, Proc. 11-th Conference on Information Processing and Management of Uncertainties in Knowledge-based Systems (IPMU 2006), pages 794–801, Paris, 2006. Editions EDK.

R. Alt, J.-L. Lamotte, and S. Markov. On the solution to numerical problems using stochastic arithmetic. In Proceeding of SCAN, Duisburg (Germany), September, 26-29 2006.

J.-M. Chesneaux, J.-L. Lamotte, N. Limare, and Y. Lebars. On the new cadna library. In Proceedings of SCAN, Duisburg, Germany, September, 26-29 2006.

R. Alt, J.-L. Lamotte, and V. Kreinovich. Random interval arithmetic is closer to common sense : An observation. In Proc. IMACS Internat congress on Scient. Comp. Appl. Maths ans Simulation, pages 1–4, Paris, France, July 2005.

R. Alt, J.-L. Lamotte, and S. Markov. Numerical study of stochastic algebraic solutions to linear problems. In 11th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN2004, Fukuoka, Japan, October 4-8 2004. GAMM-IMACS.

R. Alt and J.-L. Lamotte guest, editors. SCAN’2002 International conference Selected papers, volume 37. Numerical Algorithms, 2004.

S. Markov, R. Alt, and J.-L. Lamotte. Stochastic arithmetic : S-spaces and some applications. Numerical Algorithms, 37(1-4) :275–284, December 2004. bibtex

D. Martins and J.-L. Lamotte. First parallel implementation of the cestac method with self validation. In Proceedings of Thirty Third Spring Conference of the Union of Bulgarian Mathematicians Borovets, April 1–4, 2004, pages 427–433, september 3-5 2004.

R. Alt and J.-L. Lamotte guest, editors. SCAN’2002 International conference Selected papers, volume 37. Numerical Algorithms, 2004.

J.-L. Lamotte. Vers une chaîne de validation des logiciels numériques à l’aide de méthodes probabilistes. PhD thesis, Université Pierre et Marie Curie, novembre 2004.

A. Ghaneme and J.-L. Lamotte. On the performance of a parallel implementation of the cestac method with self-validation on several parallel machines. In 11th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN2004, Fukuoka, Japan, October 4-8 2004. GAMM-IMACS.

R. Chotin, J.-M. Chesneaux, and J.-L. Lamotte. On the computation of the CESTAC function. In Proceedings of the Real Number and Computers 5 conference, September 3-5 2003.

J.-L. Lamotte and F. Rico, editors. SCAN’2002  : book of abstracts, Université Paris 6, Laboratoire LIP6, 4 place Jussieu, 75252 Paris cedex 05, France, September 2002.

J.-L. Lamotte. Parallelization of the CESTAC method on shared memory and distributed memory computers. In 10th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, SCAN2002, Paris, France. GAMM-IMACS, September 24-27 2002.

O. Gluck, J-L. Lamotte, and A. Greiner. Influence of system calls and interrupts on the performance of a PC cluster using a remote DMA communication primitive. In Third International Conference on Parallel and Distributed Computing, Applications and Technologies, PDCAT’02, Kanazawa, Japan, pages 414–421, 2002.

J.-L. Lamotte, B. Molina, and M. Raydan. Smooth and adaptive gradient method with retards. Mathematical and Computer Modelling, 36 :1161–1168, December 2002. bibtex

R. Alt and J.-L Lamotte. Experiments on the evaluation of functional ranges using a random interval arithmetic. Math. Comput. Simul., 56(1) :17–34, 2001.

J.-L. Lamotte. On the visualization of the precision of validation software. In SCAN’2000, 9th International Symposium on Scientific Computing, Computer Arithmetic, and Validated Numerics, Karlsruhe Germany. GAMM-IMACS, September 18-22 2000.

F. Delay and J.-L. Lamotte. Numerical simulations of geological reservoirs : improving their conditioning through the use of entropy. Math. Comput. Simul., 52(3-4) :311–331, 2000. bibtex

J.-L. Lamotte. A new approach for the study of surface interpolation with uncertain data using the CADNA software. In International workshop on Reliable Computations and Interval Algebra, Sozopol, Bulgaria, Sept 27-29 1999.

J.-L. Lamotte and Y. Epelboin. Study of the numerical stability of a X-RAY diffraction model. In Computational Engineering in Systems Applications, CESA’98 IMACS Multiconference, Nabeul-Hammamet, Tunisia, volume 1, pages 916–919, April 1-4 1998.

J.-M. Chesneaux, F. Jézéquel, J.-L. Lamotte, and J. Vignes, editors. Third Real Numbers and Computers conference, book of abstracts, Université Paris 6, Laboratoire LIP6, 4 place Jussieu, 75252 Paris cedex 05, France, April, 27-29 1998.

J. L. Lamotte and F. Delay. On the stability of the 2d interpolation algorithms with uncertain data. Math. Comput. Simul., 43(2) :183–201, 1997. bibtex

R. Alt and J.-L Lamotte. On the evaluation of functional ranges using a random interval arithmetic. In Proceeding of the international congress INTERVAL’96, 1996.

R. Alt and J.-L Lamotte. Parallel integration across time of initial value problems using PVM. In Proceeding of the third european conference EuroPVM’96, Munich, Germany, number 1156 in Lecture notes in Computer Sciences, pages 323–326. Springer, october 1996.

J.-L. Lamotte. A tool for the numerical validation of parallel code programming with Fortran 77 and PVM. In Proceeding of the second european conference EuroPVM’95, Lyon, France, pages 173–178. Hermes, 1995.

J. Asserrhine, J.-M. Chesneaux, and J.-L. Lamotte. Estimation of round-off errors on several computers architectures. "Journal of Universal Computer Science", 1(7) :454–468, July 1995. —http ://www.jucs.org/jucs\s\do6(7)/estimation\s\do6(o)f\s\do6(r)ound\s\do6(o)ff—. bibtex

J. L. Lamotte and R. Alt. Comparison of simulated annealing algorithms for image restoration. Math. Comput. Simul., 37(1) :1–15, 1994.

J.-L Lamotte. Implantation sur machine distribuée d’algorithmes de recuit simulé pour la restauration d’images. In Actes de RenPar’6, Lyon, France, page 290, June 7-10 1994.

J.-L. Lamotte. Comparaison de quatre algorithmes de recuit simulé pour la restauration d’images. Technical Report 93.67, MASI, University Paris 6, France, 1993.

J.-L. Lamotte. Parallélisation d’algorithmes de recuit simulé pour la restauration d’images. Technical Report 93.66, MASI, University Paris 6, France, 1993.