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A Convergence Analysis of Gmres and Fom Methods for Sylvester Equations.
- Source :
- Numerical Algorithms; May2002, Vol. 30 Issue 1, p71-89, 19p
- Publication Year :
- 2002
-
Abstract
- We discuss convergence properties of the GMRES and FOM methods for solving large Sylvester equations of the form AX− XB= C. In particular we show the importance of the separation between the fields of values of A and B on the convergence behavior of GMRES. We also discuss the stagnation phenomenon in GMRES and its consequence on FOM. We generalize the issue of breakdown in the block-Arnoldi algorithm and explain its consequence on FOM and GMRES methods. Several numerical tests illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 30
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 49881001
- Full Text :
- https://doi.org/10.1023/A:1015615310584