Optimizing and improving of the C-to-R method for solving complex symmetric linear systems
type: Item
instance of: scholarly article
title: Optimizing and improving of the C-to-R method for solving complex symmetric linear systems
zbMATH Open document ID: 1433.65044
author: Li-Dan Liao
author: Guo-Feng Zhang
author: Rui-Xia Li
published in: Applied Mathematics Letters
publication date: 2018-06-20T00:00:00Z
review text: The authors are concerned with the numerical solution of complex symmetric linear systems of equations, written in a real $2 \times 2$ block form. They reconsider a C-to-R method, previously proposed by \textit{O. Axelsson} and \textit{A. Kucherov} [Numer. Linear Algebra Appl. 7, No. 4, 197--218 (2000; Zbl 1051.65025)], for which they design and analyse an optimized preconditioner. This leads to better eigenvalue bounds for the preconditioned matrix, which implies that the preconditioner is more robust and efficient than some existing methods.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F08
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
Mathematics Subject Classification ID: 65F35
zbMATH DE Number: 6891860
zbMATH Keywords: preconditioner
zbMATH Keywords: optimal parameter
zbMATH Keywords: complex symmetric linear system
zbMATH Keywords: spectral radius
MaRDI profile type: Publication
full work available at URL: j.aml.2018.02.020
OpenAlex ID: W2793558820
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DOI: 10.1016/J.AML.2018.02.020
Wikidata QID: Q130136463
description: scientific article; zbMATH DE number 6891860