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New convergence results on the global GMRES method for diagonalizable matrices

โœ Scribed by M. Bellalij; K. Jbilou; H. Sadok

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
169 KB
Volume
219
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In the present paper, we give some new convergence results of the global GMRES method for multiple linear systems. In the case where the coefficient matrix A is diagonalizable, we derive new upper bounds for the Frobenius norm of the residual. We also consider the case of normal matrices and we propose new expressions for the norm of the residual.

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