期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 181, 期 1, 页码 487-499出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2005.12.055
关键词
augmented Arnoldi process; Krylov subspace; minimal residual method; Ritz value; Ritz vector; Sylvester equation; generalized Sylvester equation
In this paper we propose minimal residual methods augmented with eigenvectors for solving large Sylvester matrix equations AX + XB = C and generalized Sylvester matrix equations AXB + X = C. The subspace, from which the approximate solution is extracted, is the Kronecker product subspace of two augmented Krylov subspaces. Numerical experiments report the effectiveness of these methods. (c) 2006 Elsevier Inc. All rights reserved.
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