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

Wu Shi-Liang; Li Cui-Xia

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

机译：具有二乘二模块形式的复杂对称线性系统的模块预处理器

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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.

机译：基于Zhang和Zheng的先前工作（复杂对称线性系统的参数化分裂迭代方法，日本J. Indust。Appl。Math。，31（2014）265-278），复杂的线性线性系统的三个块预处理器，其中两个给出了两个块的形式。详细讨论了预处理矩阵的光谱特性。结果表明，预处理矩阵的所有特征值都得到很好的聚类。报告了数值实验，以说明所提出的预处理器的效率。

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来源
《Mathematical Problems in Engineering》 |2015年第19期|618380.1-618380.9|共9页
作者
Wu Shi-Liang; Li Cui-Xia;
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Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China;

Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China;

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1. Block Preconditioners for Complex Symmetric Linear System with Two-by-Two Block Form [J] . Shi-LiangWu, Cui-XiaLi Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第4期

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2. Parameterized rotated block preconditioning techniques for block two-by-two systems with application to complex linear systems [J] . Zeng Min-Li, Zhang Guo-Feng Computers & mathematics with applications . 2015,第12期

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

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