Understanding krylov methods in finite precision

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1988, Issue , 2001, Pages 187-197

  Chaitin Chatelin, Françoise ^a,b   Traviesas, Elisabeth ^a   Plantié, Laurent ^a  

^a CERFACS   (France)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

FINITE PRECISION; ILL-CONDITIONED; KRYLOV METHOD; TYPE METHODS;

NUMERICAL ANALYSIS;

EID: 84944070333     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_23     Document Type: Conference Paper

References (9)

1. Chatelin, F.: Spectral approximation of linear operators. Academic Press (1983).
2. Chaitin-Chatelin, F.: Comprendre les méthodes de Krylov en précision finie: le programme du Groupe Qualitative Computing au CERFACS. CERFACS report TR/PA/00/11 (2000).
3. Chaitin-Chatelin, F., Frayssé, V.: Lectures on finite precision computations. SIAM (1996).
4. Chaitin-Chatelin, F., Gratton, S., Traviesas, E.: Sensibilité des méthodes de Krylov au vecteur de départ. Work in progress.
5. Chaitin-Chatelin, F., Harrabi, A., Ilahi, A.: About Hölder condition number and the stratification diagram for defective eigenvalues. To appear in IMACS J. on Math. of Comp. CERFACS report TR/PA/99/19 (1999).
6. Chaitin-Chatelin, F., Toumazou, V., Traviesas, E.: Accuracy assessment for eigencomputations: variety of backward errors and pseudospectra. Lin. Alg Appl. 309 (2000) 73–83.
7. Saad, Y.: Numerical methods for large eigenvalue problems. Algorithms and architectures for advanced scientific computing. Manchester University Press (1992).
8. Saad, Y.: Iterative methods for sparse linear systems. PWS, Minnesota (1995).
9. Traviesas, E.: Sur le déploiement du champ spectral d’une matrice, Ph.D. thesis, University Toulouse I and CERFACS (2000).