A note on the superlinear convergence of gmres

SIAM Journal on Numerical Analysis

Volumn 34, Issue 2, 1997, Pages 513-516

  Moret, Igor ^a  

^a UNIVERSITY OF TRIESTE   (Italy)

Author keywords

Compact operators; Gmres method; Krylov subspace methods; Linear equations; Singular values

Indexed keywords

EID: 0007434714     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142993259792     Document Type: Article

References (10)

1. P. N. BROWN, A theoretical comparison of the Arnoldi and GMRES algorithms, SIAM J. Sci, Statist. Comput., 12 (1991), pp. 58-78.
2. A. GRIEWANK, The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces, SIAM J. Numer. Anal., 24 (1987), pp. 684-705.
3. T. KERKHOVEN AND Y. SAAD, On acceleration methods for coupled nonlinear elliptic system, Numer. Math., 60 (1992), pp. 525-548.
4. I. MORET AND P. OMARI, An iterative variant of the degenerate kernel method for solving Fredholm integral equations, Math. Nachr., 143 (1989), pp. 41-54.
5. O. NEVANLINNA, Convergence of Iterations for Linear Equations, Birkhäuser, Basel, Switzerland, 1993.
6. P. OMARI, On the fast convergence of a Galerkin-like method for equations of the second kind, Math. Z., 201 (1989), pp. 529-539.
7. A. PIETSCH, Eigenvalues and s-numbers, Cambridge University Press, London, 1987.
8. 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.
9. Y. V. VOROBYEV, Method of Moments in Applied Mathematics, Gordon and Breach, New York, 1965.
10. R. WINTHER, Some superlinear convergence results for the conjugate gradient method, SIAM J. Numer. Anal., 17 (1980), pp. 14-17.