Solving a class of quadratic matrix equations
type: Item
instance of: scholarly article
title: Solving a class of quadratic matrix equations
zbMATH Open document ID: 1391.15052
author: Mansour Saeed Ibrahim Adam
author: J. Ding
author: Qianglian Huang
author: Lanping Zhu
published in: Applied Mathematics Letters
publication date: 2018-06-20T00:00:00Z
review text: The authors describe all commuting solutions (i.e., \(AX=XA\)) and, under a full rank condition, all non-commuting solutions, of the matrix equation \(AXA=XAX\), for a given invertible matrix \(A\).
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15A27
zbMATH DE Number: 6891857
zbMATH Keywords: matrix equation
zbMATH Keywords: idempotent matrix
zbMATH Keywords: spectral perturbation
reviewed by: George Stoica
MaRDI profile type: Publication
full work available at URL: j.aml.2018.02.017
OpenAlex ID: W2792629011
cites work: Q4039697
cites work: A Nontrivial Solution to a Stochastic Matrix Equation
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cites work: All solutions of the Yang-Baxter-like matrix equation for rank-one matrices
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cites work: Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix
cites work: Q3998482
cites work: Characteristic polynomials of some perturbed matrices
DOI: 10.1016/J.AML.2018.02.017
description: scientific article; zbMATH DE number 6891857