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Modified complex-symmetric and skew-Hermitian splitting iteration method for a class of complex-symmetric indefinite linear systems

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Abstract

In this paper, based on the complex-symmetric and skew-Hermitian splitting (CSS) of the coefficient matrix, a modified complex-symmetric and skew-Hermitian-splitting (MCSS) iteration method is presented to solve a class of complex-symmetric indefinite linear systems from the classical state-space formulation of frequency analysis of the degree-of-freedom discrete system. The convergence properties of the MCSS method are obtained. The corresponding MCSS preconditioner is proposed and some useful properties of the preconditioned matrix are established. Numerical experiments are reported to verify the efficiency of both the MCSS method and the MCSS preconditioner.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, People’s Republic of China

    Shi-Liang Wu & Cui-Xia Li

Authors
  1. Shi-Liang Wu
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  2. Cui-Xia Li
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Corresponding author

Correspondence to Shi-Liang Wu.

Additional information

This research was supported by the NSFC (11301109), 17HASTIT012 Natural Science Foundations of Henan Province (No.15A110007), Project of Young Core Instructor of Universities in Henan Province (No. 2015GGJS-003).

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Wu, SL., Li, CX. Modified complex-symmetric and skew-Hermitian splitting iteration method for a class of complex-symmetric indefinite linear systems. Numer Algor 76, 93–107 (2017). https://doi.org/10.1007/s11075-016-0245-1

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  • DOI: https://doi.org/10.1007/s11075-016-0245-1

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