A COCR method for solving complex symmetric linear systems

[摘要] The Conjugate Orthogonal Conjugate Gradient (COCG) method has been recognized as an attractive Lanczos-type Krylov subspace method for solving complex symmetric linear systems; however, it sometimes shows irregular convergence behavior in practical applications. In the present paper, we propose a Conjugate A-Orthogonal Conjugate Residual (COCR) method, which can be regarded as an extension of the Conjugate Residual (CR) method. Numerical examples show that COCR often gives smoother convergence behavior than COCG. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2007-02-15

[效力级别]  Proceedings Paper

[关键词] COCG;COCR;complex symmetric matrices;Krylov subspace methods