A modified gradient based algorithm for solving matrix equations \(AXB+CX^T D=F\)
type: Item
instance of: scholarly article
title: A modified gradient based algorithm for solving matrix equations \(AXB+CX^T D=F\)
zbMATH Open document ID: 1406.65022
DOI: 10.1155/2014/954523
author: Zhibing Liu
author: Chengfeng Xu
author: Kanmin Wang
published in: Journal of Applied Mathematics
publication date: 2019-02-01T00:00:00Z
review text: Summary: In this paper, we develop a modified gradient based algorithm for solving matrix equations \(AXB+CX^T D=F\). Different from the gradient based method introduced by \textit{L. Xie} et al. [Appl. Math. Comput. 217, No. 5, 2191--2199 (2010; Zbl 1210.65097)] the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7010805
Wikidata QID: Q59054458
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/954523
OpenAlex ID: W1982463462
DBLP publication ID: journals/jam/WangLX14
Recommended article: Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
Recommended article: The relaxed gradient based iterative algorithm for solving matrix equations \(A_iXB_i=F_i\)
Recommended article: Gradient based iterative algorithms for solving a class of matrix equations
Recommended article: A modified gradient‐based algorithm for solving extended Sylvester‐conjugate matrix equations
Recommended article: Modified conjugate gradient method for the solution of \(Ax=b\)
Recommended article: Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
Recommended article: Modifying a numerical algorithm for solving the matrix equation X + AX T B = C
Recommended article: Q2983535
Recommended article: A numerical algorithm for solving the matrix equation \(AX + X^TB = C\)
Recommended article: Gradient based iterative solutions for general linear matrix equations
description: scientific article; zbMATH DE number 7010805