Convergence of Krylov methods for sums of two operators

BIT Numerical Mathematics

Volumn 36, Issue 4, 1996, Pages 775-785

  Nevanlinna, Olavi ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

GMRES; Krylov methods; Trace class

Indexed keywords

EID: 0039885224     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01733791     Document Type: Article

References (6)

1. R. W. Freund and N. M. Nachtigal. A quasi-minimal residual method for non-Hermitian linear systems, Numer. Math., 60 (1991), pp. 315-339.
2. R. W. Freund, G. H. Golub and N. M. Nachtigal. Iterative solution of linear systems, Acta Numerica, 1962, pp. 57-100.
3. I. Gohberg, S. Goldberg and M. A. Kaashoek. Classes of Linear Operators, Vol. I, Birkhäuser Verlag, Basel, 1990.
4. J. Malinen, On the Preconditioning and Iterative Inversion of Toeplitz Operators, Master's Thesis at Helsinki University of Technology, Institute of Mathematics, 1995.
5. O. Nevanlinna, Convergence of Iterations for Linear Equations, Birkhäuser, Basel, 1993.
6. Y. Saad and M. H. Schultz. GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7 (1986), pp. 856-869.