Two lopsided TSCSP (LTSCSP) iteration methods for solution of complex symmetric positive definite linear systems

被引：0

作者：

Mehdi Dehghan

Akbar Shirilord

机构：

[1] Amirkabir University of Technology,Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences

来源：

Engineering with Computers | 2022年 / 38卷

关键词：

Optimal parameter; Complex symmetric matrix; TSCSP method; LTSCSP method; Scale–Splitting (SCSP); Positive definite linear systems; 65K10; 65F10; 65F50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we make two new lopsided methods (LTSCSP1 and LTSCSP2) based on the two-scale-splitting (TSCSP) method and show that the convergence speed of TSCSP iteration method can be increased under some conditions without adding any additional parameter. The convergence analysis of the new methods in detail is given. Then we will obtain the quasi-optimal parameter to minimize the spectral radius of iteration matrix for the new methods. The inexact version of these methods is derived. To illustrate the effectiveness of the proposed framework, several numerical examples are given.

引用

页码：1867 / 1881

页数：14

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