Stability of GPBiCG_AR method based on minimization of associate residual

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

Volumn 5081 LNAI, Issue , 2008, Pages 108-120

  Thuthu, Moe ^a   Fujino, Seiji ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

Associate Residual; GPBi CG; GPBiCG_AR; Nonsymmetric coefficient matrix; Precondition

Indexed keywords

ALGORITHMS; ARGON; FEATURE EXTRACTION; LINEAR EQUATIONS; LINEAR SYSTEMS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; OPTIMIZATION; TREES (MATHEMATICS);

ASSOCIATE RESIDUAL; GPBI-CG; GPBICG_AR; NONSYMMETRIC COEFFICIENT MATRIX; PRECONDITION;

CONVERGENCE OF NUMERICAL METHODS;

EID: 55249086985     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-87827-8_9     Document Type: Conference Paper

References (6)

1. Saad, Y.: Iterative Methods for Sparse Linear Systems. SIAM. Philadelphia (2003)
2. Tim Davis' sparse matrix collection of Florida University, http://www.cise.uf1.edu/research/sparse/matrices/
3. Fujino, S., Fujiwara, M., Yoshida, M.: BiCGSafe method based on minimization of associate residual. JSCES 2005 (2005), http://www.jstage.jst.go. jp/article/jsces/2005/0/20050028_pdf/-char/ja/ (in Japanese)
4. van der Vorst, H.A.: Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13, 631-644 (1992)
5. van der Vorst, H.A.: Iterative Krylov preconditionings for large linear systems. Cambridge University Press, Cambridge (2003)
6. Zhang, S.-L.: GPBi-CG: Generalized product-type methods based on Bi-CG for solving nonsymmetric linear systems. SIAM J. Sci. Comput. 18, 537-551 (1997)