New convergence results on the global GMRES method for diagonalizable matrices

[摘要] 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. (C) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2008-10-01

[效力级别]  Proceedings Paper

[关键词] convergence;global GMRES;iterative methods;matrix Krylov subspace;multiple linear systems