Solving a class of quadratic matrix equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 2018 United States English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 82, pages 58-63 (issn: 0893-9659,

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Authors: Saeed Ibrahim Adam Mansour; Jiu Ding; Qianglian Huang; Lanping Zhu;

doi: 10.1016/j.aml.2018.02.017

Solving a class of quadratic matrix equations

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Abstract

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 \(A\).

Country

United States

Related Organizations

Yangzhou University
China (People's Republic of)
University of Southern Mississippi
United States

Keywords

Matrix equation, Applied Mathematics, Matrix equations and identities, Spectral perturbation, 500, spectral perturbation, Idempotent matrix, 510, Commutativity of matrices, idempotent matrix, matrix equation, Physical Sciences and Mathematics

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