The relaxed gradient based iterative algorithm for the symmetric (skew symmetric) solution of the Sylvester equation \(A X + X B = C\)
type: Item
instance of: scholarly article
title: The relaxed gradient based iterative algorithm for the symmetric (skew symmetric) solution of the Sylvester equation \(A X + X B = C\)
zbMATH Open document ID: 1426.65056
DOI: 10.1155/2017/1624969
author: Xiaodan Zhang
author: Xingping Sheng
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: In this paper, we present two different relaxed gradient based iterative (RGI) algorithms for solving the symmetric and skew symmetric solution of the Sylvester matrix equation \(A X + X B = C\). By using these two iterative methods, it is proved that the iterative solution converges to its true symmetric (skew symmetric) solution under some appropriate assumptions when any initial symmetric (skew symmetric) matrix \(X_0\) is taken. Finally, two numerical examples are given to illustrate that the introduced iterative algorithms are more efficient.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6971776
Wikidata QID: Q59147294
describes a project that uses: Algorithm 432
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/1624969
OpenAlex ID: W2605208559
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description: scientific article; zbMATH DE number 6971776