Any nonincreasing convergence curve is possible for GMRES

SIAM Journal on Matrix Analysis and Applications

Volumn 17, Issue 3, 1996, Pages 465-469

  Greenbaum, Anne ^a   Pták, Vlastimil ^b   Strakoš, Zdeněk ^b  

^a NEW YORK UNIVERSITY   (United States)

^b INSTITUTE OF COMPUTER SCIENCE   (Czech Republic)

Author keywords

GMRES; Krylov residual space; Krylov subspace

Indexed keywords

EID: 0041049302     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479894275030     Document Type: Article

References (5)

1. A. GREENBAUM AND Z. STRAKOŠ, Matrices that generate the same Krylov residual spaces, in Recent Advances in Iterative Methods, G. Golub, A. Greenbaum, and M. Luskin, eds., Springer-Verlag, New York, 1994, pp. 95-118.
2. Y. SAAD AND M. H. SCHULTZ, GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
3. A. GREENBAUM AND L. N. TREFETHEN, GMRES/CR and Arnoldi/Lanczos as matrix approximation problems, SIAM J. Sci. Comput., 15 (1994), pp. 359-368.
4. A. GREENBAUM, Norms of Functions of Matrices, Courant Institute Tech. report 645, Courant Institute of Mathematical Sciences, New York, 1993.
5. L. N. TREFETHEN, Pseudospectra of matrices, in Numerical Analysis 1991, D. F. Griffiths and G. A. Watson, eds., Longman Scientific and Technical, Essex, UK, 1992, pp. 234-266.