Year: 2019
Author: Kai Liu, Guiding Gu
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 278–296
Abstract
Based on the preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration method for the complex symmetric linear system, two improved iterative methods, namely, the modified PMHSS (MPMHSS) method and the double modified PMHSS (DMPMHSS) method, are proposed in this paper. The spectral radii of the iteration matrices of two methods are given. We show that by choosing an appropriate parameter, MPMHSS could speed up the convergence on PMHSS. The DMPMHSS method is a four-step alternating iteration that is developed upon the two-step alternating iteration of MPMHSS. We discuss the choice of the parameters and establish the convergence of DMPMHSS. In particular, we give an analysis of the spectral radius of PMHSS and DMPMHSS at the parameter free situation, and we show that DMPMHSS converges faster than PMHSS in most cases. Our numerical experiments show these points.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1702-m2017-0007
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 278–296
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Complex symmetric linear system PMHSS.
Author Details
-
Efficient Acceleration Framework for Complex‐Valued Linear Systems: Alternating Anderson Accelerating Preconditioned Richardson Approach
Li, Zhizhi
Zhang, Huai
(2024)
https://doi.org/10.1002/nla.2600 [Citations: 0]