Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation-Reference-Cited by-同舟云学术

Two Block Splitting Iteration Methods for Solving Complex Symmetric Linear Systems from Complex Helmholtz Equation

Published:2024-06-18 Issue:12 Volume:12 Page:1888
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Zhu Yanan¹,Zhang Naimin¹,Chao Zhen²^ORCID

Affiliation:

1. College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China

2. Department of Mathematics, Western Washington University, Bellingham, WA 98225, USA

Abstract

In this paper, we study the improved block splitting (IBS) iteration method and its accelerated variant, the accelerated improved block splitting (AIBS) iteration method, for solving linear systems of equations stemming from the discretization of the complex Helmholtz equation. We conduct a comprehensive convergence analysis and derive optimal iteration parameters aimed at minimizing the spectral radius of the iteration matrix. Through numerical experiments, we validate the efficiency of both iteration methods.

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/12/1888/pdf

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