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A generalized modified HSS method for singular complex symmetric linear systems

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Abstract

In this paper, based on the Hermitian and skew-Hermitian splitting, we give a generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method to solve singular complex symmetric linear systems, this method has two parameters. We give the semi-convergent conditions, and some numerical experiments are given to illustrate the efficiency of this method.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, Dongchuan RD 500, Shanghai, 200241, People’s Republic of China

    Zhen Chao & Guo-Liang Chen

Authors
  1. Zhen Chao
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  2. Guo-Liang Chen
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Corresponding author

Correspondence to Guo-Liang Chen.

Additional information

This work is supported by the National Natural Science Foundation of China (No. 11471122), Zhejiang Provincial Natural Science Foundation of China (No. LY15A010016) and ECNU reward for Excellent Doctoral Students in Academics (No. xrzz2014020).

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Chao, Z., Chen, GL. A generalized modified HSS method for singular complex symmetric linear systems. Numer Algor 73, 77–89 (2016). https://doi.org/10.1007/s11075-015-0086-3

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  • DOI: https://doi.org/10.1007/s11075-015-0086-3

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