Block Preconditioners for Complex Symmetric Linear System with Two-by-Two Block Form

Shi-Liang Wu and Cui-Xia Li

Mathematical Problems in Engineering, 2015, vol. 2015, 1-9

Abstract:

Based on the previous work by Zhang and Zheng (A parameterized splitting iteration method for complex symmetric linear systems, Japan J. Indust. Appl. Math., 31 (2014) 265–278), three block preconditioners for complex symmetric linear system with two-by-two block form are presented. Spectral properties of the preconditioned matrices are discussed in detail. It is shown that all the eigenvalues of the preconditioned matrices are well-clustered. Numerical experiments are reported to illustrate the efficiency of the proposed preconditioners.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:618380

DOI: 10.1155/2015/618380

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