Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 248–265
Abstract
Recently numerous numerical experiments on realistic calculation have shown that the conjugate A-orthogonal residual squared (CORS) method is often competitive with other popular methods. However, the CORS method, like the CGS method, shows irregular convergence, especially appears large intermediate residual norm, which may lead to worse approximate solutions and slower convergence rate. In this paper, we present a new product-type method for solving complex non-Hermitian linear systems based on the biconjugate A-orthogonal residual (BiCOR) method, where one of the polynomials is a BiCOR polynomial, and the other is a BiCOR polynomial with the same degree corresponding to different initial residual. Numerical examples are given to illustrate the effectiveness of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1401-CR13
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 3 : pp. 248–265
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Krylov subspace BiCOR method CORS method Complex non-Hermitian linear systems.
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A new iterative method for solving complex symmetric linear systems
Zhang, Jianhua
Dai, Hua
Applied Mathematics and Computation, Vol. 302 (2017), Iss. P.9
https://doi.org/10.1016/j.amc.2017.01.002 [Citations: 1]