A COCR method for solving complex symmetric linear systems

Authors:
Tomohiro Sogabe;Shao-Liang Zhang
Affiliations:
Department of Applied Physics, The University of Tokyo, Hongo, Tokyo, Japan;Department of Applied Physics, The University of Tokyo, Hongo, Tokyo, Japan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Year:
2007

Citing 4
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Abstract

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.