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Selected publications
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
    
   
 

 
     

2004
 

2003
 
  • F. Chaitin-Chatelin, Computing beyond analyticity. Matrix algorithms in Inexact and Uncertain computing . 

    • Tech. Rep. TR/PA/03/110, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, Elements of Hypercomputations on R and Z2 with the Dickson-Albert inductive process. 

    • Tech. Rep. TR/PA/03/34, Postcript version, Pdf version CERFACS. 
     
  • J. van den Eshof, G. L. G. Sleijpen, and M .B. van Gijzen. , Relaxation strategies for nested Krylov methods. 

    • Tech. Rep. TR/PA/03/27, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, The Arnoldi method in the light of Homotopic Deviation theory. 

    • Tech. Rep. TR/PA/03/15, Postcript version, Pdf version CERFACS. 
     
  • M. B. van Gijzen. , Two level parallelism in a stream-function model for global ocean circulation. Preliminary version of the paper published in the proceedings of Euro-Par2003, Lecture Notes in Computer Science 2790, pp. 820-829, 2003. 

    • Tech. Rep. TR/PA/03/09, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, On a recursive hierarchy for numbers algorithmically emerging from processing binary sequences. 

    • Tech. Rep. TR/PA/03/08, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, M. B, van Gijzen , Homotopic deviation: an example in acoustics. 

    • Tech. Rep. TR/PA/03/04, Postcript version, Pdf version CERFACS. 
     
  • V. Frayssé, L. Giraud, S. Gratton, and J. Langou. , A set of GMRES routines for real and complex arithmetics on high performance computers. 

    • Tech. Rep. TR/PA/03/03, Postcript version, Pdf version CERFACS. 
     
         

2002
  • L. Giraud, and M. B. Gijzen , Large scale acoustic simulations on clusters of SMPs. 

    • Tech. Rep. TR/PA/02/116, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, About Singularities in Inexact Computing . 

    • Tech. Rep. TR/PA/02/106, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin and A. N. Zaoui. Hypercomputation on {0,1}. 

    • Tech. Rep. TR/PA/02/73, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin and E. Traviesas, Qualitative Computing. in Handbook for Numerical Computation, SIAM. To appear.

    • Tech. Rep. TR/PA/02/58, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin and E. Traviesas, PRECISE and the reliability of Numerical Software. in Handbook for Numerical Computation, SIAM. To appear.

    • Tech. Rep. TR/PA/02/57, Postcript version, Pdf version CERFACS. 
     
  • F. Chaitin-Chatelin, T. Meskauskas and M. van Gijzen,  Iterations emboitees pour la methode de la puissance avec acceleration de Tchebycheff en neurtronique.

    • Contract Rep. CR/PA/02/56. CERFACS.
  • F. Chaitin-Chatelin, T. Meskauskas, and A. N. Zaoui , Hypercomplex division in the presence of zero divisors on R and Z_2. 

    • Tech. Rep. TR/PA/02/29, Postcript version, Pdf version CERFACS. 
     
  • Qualitative Computing Group Activity Report, 2000-2001. Postcript version 

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2001
 
  • F. Chaitin-Chatelin and T. Meskauskas, Computation with Hypercomplex Numbers, in Nonlinear Analysis 47, 3391-3400 

    • Tech. Rep. TR/PA/00/69, CERFACS. 
     
  • F. Chaitin-Chatelin, Hypercomplex Computation. 15th Householder Meeting. Abstract Postcript version Pdf version

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  • F. Chaitin-Chatelin and T. Meskauskas, Inner-Outer iterations for mode solvers in structural mechanics: application to the Code_Aster. 

    • Contract Report FR/PA/01/85. 
     
  • F. Chaitin-Chatelin and E. Traviesas, Homotopic perturbation - Unfolding the field of singularities of a matrix by a complex parameter: a geometric approach. 

    • Tech. Rep. TR/PA/01/84, Postcript version, Pdf version, CERFACS. 
       

2000
  • A. N. Zaoui and E. Traviesas, Sur la fiabilité et la robustesse du code ISABeL.

    • Tech. Rep. TR/PA/00/76
     
  • F. Chaitin-Chatelin, T. Meskauskas and A.N. Zaoui, About real and binary algebras: the interplay between geometry and algebra.

    • Tech. Rep. TR/PA/00/74
     
  • T. Meskauskas and F. Ivanauskas, Initial Boundary-Value Problems for Derivative Nonlinear  Schrodinger Equation. Justification of Two-Step Algorithm.

    • Tech. Rep. TR/PA/00/70
     
  • F. Chaitin-Chatelin, T. Meskauskas and A.N. Zaoui, Computation with Hypercomplex Numbers.

    • Tech. Rep. TR/PA/00/69 (1,5 MB)
     
  • L. Plantié, The boundary layer problem of triple deck type.

    • Tech. Rep. TR/PA/00/61
    Also in the Conference Proceedings, Numerical Analysis and Its Applications, Lecture Notes in Computer Science, Springer, pp 675-683.
     
  • F. Chaitin-Chatelin, S. Dallakyan and V. Frayssé, GPS Carrier Phase Ambiguity Resolution with the LAMBDA method: 1. A stability analysis 2. An exponential speed-up

    • Contract Rep. CR/PA/00/52
     
  • L. Plantié, A semi-discrete problem for the boundary layer of triple deck type (Part 1).

    • Tech. Rep. TR/PA/00/45
     
  • L. Plantié, A semi-discrete problem for the boundary layer of triple deck type (Part 2).

    • Tech. Rep. TR/PA/00/46.
     
  • F. Chaitin-Chatelin, E. Traviesas and L. Plantié, Understanding Krylov methods in finite precision.

    • Tech. Rep. TR/PA/00/40
    Also in the Conference Proceedings, Numerical Analysis and Its Applications, Lecture Notes in Computer Science, Springer, pp 187-197.
     
  • F. Chaitin-Chatelin and S. Gratton, On the condition numbers associated with the polar factorization of a matrix.

    • Tech. Rep. TR/PA/98/25
    In Numerical Linear Algebra with Applications, 7, pp 337-354, 2000
     
  • A. Bouras, F. Chaitin-Chatelin and V. Frayssé, Solveurs itératifs emboités.

    • Final Report FR/PA/00/19
     
  • A. Bouras ,V. Frayssé and L.Giraud, A relaxation strategy for inner-outer linear solvers in domain decomposition methods.

    • Tech. Rep. TR/PA/00/17
     
  • A. Bouras and V. Frayssé, A relaxation strategy for the Arnoldi method in eigenproblems.

    • Tech. Rep. TR/PA/00/16
     
  • A. Bouras and V. Frayssé, A relaxation strategy for inexact matrix-vector products for Krylov methods.

    • Tech. Rep. TR/PA/00/15
     
  • A. N. Zaoui and E. Traviesas, The hybrid eigensolver ISABeL to compute r eigenvalues closest to a given complex point : a qualitative study.

    • Tech. Rep. TR/PA/00/13
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000
     
  • F. Chaitin-Chatelin and E.Traviesas, PRECISE, a toolbox for assessing the quality of numerical methods and software.

    • Tech. Rep. TR/PA/00/12
    Proceedings of the 16th IMACS World Congress, Lausanne, Switzerland, 2000
     
  • F. Chaitin-Chatelin, Comprendre les méhodes de Krylov en précision finie : le programme du Groupe Qualitative Computing au CERFACS.

    • Tech. Rep. TR/PA/00/11
     
  • F. Chaitin-Chatelin, The Computing power of Geometry.

    • Tech. Rep. TR/PA/99/24
    Numerical Analysis 1999, D. F. Griffiths and G. A Watson, eds, CRC Press LLC, pp. 83-92, 2000.
     
  • F. Chaitin-Chatelin, A. Harrabi and A. Ilahi, About Holder condition numbers and the stratification diagram for defective eigenvalues.

    • Tech. Rep. TR/PA/99/19
    Published in IMACS Journal on Mathematics and Computers in Simulation, dedicated to John Rice, (E.Houstis, R.Boisvert, and W.Dyksen eds), 54, pp. 397-402, 2000.
     
  • S. Gratton, V. Frayssé and V. Toumazou, Structured backward error and condition number for linear systems of the type A*Ax = b

    • Tech. Rep. TR/PA/99/05
    BIT, 40, pp. 74-83, 2000.
     
  • F.Chaitin-Chatelin, V. Toumazou and E.Traviesas, Accuracy assessment for eigencomputations : Variety of backward errors and pseudospectra.

    • Tech. Rep. TR/PA/99/03
    Published in Linear Algebra and Appl., 309, pp 73-83, 2000.

1999

1998
  • F. Chaitin-Chatelin and A. Harrabi, About definitions ofpseudospectra of closed operators in Banach spaces.

    • Tech. Rep. TR/PA/98/08
     
  • S. Gratton, V. Frayssé and V. Toumazou, On a structured backward error analysis for linear systems of the type A*Ax = b.

    • Tech. Rep. TR/PA/98/01
     
  • A. Harrabi, Pseudospectre d'une Suite d'Operateurs Bornés.

    • Tech. Rep. TR/PA/97/48
    In M2AN Mathematical Modelling and Numerical Analysis, vol. 32, no. 6, pp. 671-680, 1998.
  • V. Frayssé and V. Toumazou,  A note on the normwise perturbation theory for the regular generalized eigenproblem Ax=zBx.

    • Tech. Rep. TR/PA/96/18
    Numerical Linear Algebra with Applications, vol. 5,no. 1, pp. 1-10, 1998.

1997
  • F. Chaitin-Chatelin and V. Frayssé and S. Gratton, Fiabilité des calculs en précision finie: principes et mise en oeuvre.

    • Contract Report FR/PA/97/55
     
  • F. Chaitin-Chatelin and S. Gratton, Etude de la non convergence de Gauss-Newton.

    • Contract Report IR/PA/97/14.
     
  • R. A. McCoy and V. Toumazou, PRECISE User's Guide - Version 1.0.

    • Tech. Rep. TR/PA/97/38
     
  • T. Braconnier and A. McCoy and V. Toumazou, Using the Field of Values for Pseudospectra Generation.

    • Tech. Rep. TR/PA/97/28
     
  • F. Chaitin-Chatelin, Is nonnormality a serious computational difficulty in practice?

    • Tech. Rep. TR/PA/96/33
    In The quality of Numerical Software, R. F. Boisvert ed., Chapmann and Hall, pp. 300-314, 1997.
     
  • T. Braconnier and F. Chaitin-Chatelin, Roundoff induces a chaotic behaviour for eigensolvers applied on highly nonnormal matrices.

    • Tech. Rep. TR/PA/97/28
    In Computational Science for the 21st Century, J. Perriaux at al. eds, John Wiley, 1997.

1996
  • T. Braconnier and F. Chaitin-Chatelin, Chaotic behavior for eigensolvers applied on highly nonnormal matrices in finite precision.

    • Tech. Rep. TR/PA/96/50
     
  • F. Chaitin-Chatelin, Is finite precision arithmetic useful for Physics ?

    • In The finite, the bounded and the infinite, C. Calude ed., Proceedings of the Black Sea University, Journal UCS, vol. 2, pp. 380-395.
     
  • S. Gratton, On the condition number of linear least squares problems in Frobenius norm.

    • In BIT, 36, pp. 523-530, 1996.
     
  • F. Chaitin-Chatelin and S. Gratton, Convergence of successive iteration methods in finite precision under high nonnormality.

    • In BIT, 36, pp. 455-469, 1996.
     
  • V. Toumazou, Portraits spectraux de matrices : un outil d'analyse de la fiabilité.

    • Ph. D. dissertation, Université H. Poincaré, Nancy.
     
  • V. Frayssé, S. Gratton and V. Toumazou, Note on the conditioning of linear systems of the kind A*Ax = b.

    • Tech. Rep. TR/PA/96/17
     
  • V. Frayssé, M. Gueury, F. Nicoud and V. Toumazou, Spectral portraits for matrix pencils : a physical application.

    • Tech. Rep. TR/PA/96/19
     
  • V. Frayssé, L. Giraud and V. Toumazou, Parallel computation of spectral portraits on the Meiko CS2.

    • In High-Performance Computing and Networking, H. Liddell and A. Colbrook and B. Hertzberger and P. Sloot, eds., vol 1067, Springer-Verlag, 312-318.
     
  • S. Gratton,  Conditionnement en optimisation. Etude bibliographique. Rapport de contrat.

    • FR/PA/96/36

1995
  • T. Braconnier, F. Chatelin and J.-C. Dunyach, Highly nonnormal eigenvalue problems in the aeronautical industry.

    • In Japan J. Ind. Appl. Math., 12, pp. 123-136, 1995.
     
  • F. Chaitin-Chatelin, Le calcul qualitatif. Comment donner un sens à des résultats faux?

    • Tech. Rep. TR/PA/95/10, Report in french.
     

1994
       
 
 

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