New convergence results on the global GMRES method for diagonalizable matrices

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:219

Article; Proceedings Paper

Bellalij, M.²  Jbilou, K.¹  Sadok, H.¹ 

[1] Univ Littoral, F-62280 Calais, France

[2] Univ Valenciennes, F-59313 Valenciennes, France

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

DOI  :  10.1016/j.cam.2007.09.016

来源: Elsevier

【 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.

【 授权许可】

Free