A parameterized block preconditioner for solving a class of complex symmetric linear systems

IF 2.6 3区数学 Q2 MATHEMATICS, APPLIED

Advances in Computational Mathematics Pub Date : 2026-06-30 DOI:10.1007/s10444-026-10326-3

Meng-Yao Li, Bo Wu

引用次数: 0

Abstract

This paper develops a new parameterized block (PB) preconditioner for solving the complex symmetric linear systems. We analyze the convergence behavior of the corresponding iteration scheme and derive the spectral properties of the preconditioned matrix. Numerical experiments are conducted to verify the effectiveness of the proposed method, demonstrating that the PB preconditioner significantly accelerates the convergence of the GMRES method when applied to complex symmetric linear systems.

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求解一类复对称线性系统的参数化块预调节器

提出了一种求解复杂对称线性系统的参数化块预调节器。我们分析了相应迭代方案的收敛性，并推导了预条件矩阵的谱性质。数值实验验证了该方法的有效性，结果表明PB预调节器对复杂对称线性系统的GMRES方法具有显著的加速收敛的作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Computational Mathematics 数学-应用数学

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

3 months

期刊介绍： Advances in Computational Mathematics publishes high quality, accessible and original articles at the forefront of computational and applied mathematics, with a clear potential for impact across the sciences. The journal emphasizes three core areas: approximation theory and computational geometry; numerical analysis, modelling and simulation; imaging, signal processing and data analysis. This journal welcomes papers that are accessible to a broad audience in the mathematical sciences and that show either an advance in computational methodology or a novel scientific application area, or both. Methods papers should rely on rigorous analysis and/or convincing numerical studies.