Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)
type: Item
instance of: scholarly article
title: Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\)
zbMATH Open document ID: 1226.65035
author: Guangren Duan
author: Yan-Ming Fu
author: Wei-Jun Wu
author: Ai-Guo Wu
published in: Computing
publication date: 2010-12-08T00:00:00Z
review text: The authors consider the matrix equation given in the title and propose an iterative algorithm for solving the equation. By specifying the proposed algorithm, they give iterative algorithms for solving the normal Sylvester-conjugate matrix equation \(XF-A\overline X=C\), the Kalman-Yakubovich-conjugate matrix equation \(X - A\overline X F = C\), and the generalized Sylvester matrix equation \(AX+BY=EXF+S\). As illustration, two numerical examples are given.
Mathematics Subject Classification ID: 65F30
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 5824568
zbMATH Keywords: finite iterative algorithms
zbMATH Keywords: generalized Sylvester-conjugate matrix equation
zbMATH Keywords: real inner product
zbMATH Keywords: orthogonality
zbMATH Keywords: Kalman-Yakubovich-conjugate matrix equation
zbMATH Keywords: numerical examples
zbMATH Keywords: generalized Sylvester matrix equation
reviewed by: G. V. Demidenko
MaRDI profile type: Publication
full work available at URL: s00607-010-0100-5
OpenAlex ID: W1970341509
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DOI: 10.1007/S00607-010-0100-5
description: scientific article; zbMATH DE number 5824568