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<p>Recently, Zheng et al. proposed a variant of PMHSS (VPMHSS) iteration method to solve a class of complex symmetric indefinite linear systems. Based on this, we establish a parameterized VPMHSS (PVPMHSS) iteration method. This method covers standard VPMHSS iteration and can extend the possibility to optimize the iterative process. Moreover, minimum residual PVPMHSS iteration method is established to further improve the computational efficiency. The convergence property of the proposed methods is carefully studied. Numerical experiments illustrate the efficiency and robustness of the two iteration methods.</p>

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Parameterized VPMHSS iteration method and its minimum residual variant for a class of complex symmetric indefinite linear systems

  • 期刊论文

  • 发表日期：

    2026年1月27日

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  • Jian-Sheng Feng

摘要

Recently, Zheng et al. proposed a variant of PMHSS (VPMHSS) iteration method to solve a class of complex symmetric indefinite linear systems. Based on this, we establish a parameterized VPMHSS (PVPMHSS) iteration method. This method covers standard VPMHSS iteration and can extend the possibility to optimize the iterative process. Moreover, minimum residual PVPMHSS iteration method is established to further improve the computational efficiency. The convergence property of the proposed methods is carefully studied. Numerical experiments illustrate the efficiency and robustness of the two iteration methods.