A generalized GMRES iterative method

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

Volumn 1988, Issue , 2001, Pages 475-481

  Kincaid, David R ^a   Chen, Jen Yuan ^b   Young, David M ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b I SHOU UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

RESIDUAL VECTORS; SYMMETRIC POSITIVE DEFINITE MATRICES;

ITERATIVE METHODS;

EID: 33645087177     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_55     Document Type: Conference Paper

References (14)

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3. Chen, J.-Y., Kincaid, D. R., Young, D. M.: Generalizations and modifications of the GMRES iterative method. Numerical Algorithms 21 (1999) 119-146
4. Freund, R. W., Nachtigal, N. M.: QMR: A quasi-minimal residual method for non-hermitian linear systems. Numerische Mathematik 60 315-339 (1991)
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6. Jea, K. C.: Generalized conjugate gradient acceleration of iterative methods. Report CNA-176, Center for Numerical Analysis, University of Texas at Austin (1982)
7. Jea, K. C., Young, D. M.: On the simplification of generalized conjugate gradient methods for nonsymmetrizable linear systems. Linear Algebra Appl. 52/53 (1983) 399-417
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9. Saad, Y., Schultz, M. H.: GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Statist. Comput., 7 (3) (1986) 856-869
10. Sonneveld, P.: CGS: A fast Lanczos-type solver for nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 10 (1) 36-52 (1989)
11. Van Der Vorst, H. A.: BI-CGSTAB: A fast and smoothly converging variant of BICG for the solution of nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 13 (2) 631-644 (1992)
12. Young, D. M., Hayes, L. J., Jea, K. C.: Generalized conjugate gradient acceleration of iterative methods. Part I: The nonsymmetrizable case, Report CNA-162, Center for Numerical Analysis, University of Texas at Austin (1981)
13. Young, D. M., Jea, K. C.: Generalized conjugate gradient acceleration of iterative methods. Linear Algebra Appl. 34 (1980) 159-194
14. Young, D. M., Jea, K. C.: Generalized conjugate gradient acceleration of iterative methods. Part II: The nonsymmetrizable case, Report CNA-163, Center for Numerical Analysis, University of Texas at Austin (1981)