Solving a class of quadratic matrix equations

DOI10.1016/J.AML.2018.02.017zbMath1391.15052OpenAlexW2792629011MaRDI QIDQ1642083

Jiu Ding, Lanping Zhu, Mansour Saeed Ibrahim Adam, Qianglian Huang

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.02.017

zbMATH Keywords

spectral perturbationmatrix equationidempotent matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Commutativity of matrices (15A27)

Related Items (4)

On an upper bound for the eigenvalues of the solution of the continuous algebraic Riccati equation ⋮ Some non-commuting solutions of the Yang-Baxter-like matrix equation ⋮ All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices ⋮ ALL SOLUTIONS OF THE YANG-BAXTER-LIKE MATRIX EQUATION WHEN <i>A</i>³ = <i>A</i>

Cites Work

• Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix
• All solutions of the Yang-Baxter-like matrix equation for rank-one matrices
• Characteristic polynomials of some perturbed matrices
• Spectral solutions of the Yang-Baxter matrix equation
• Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices
• A Nontrivial Solution to a Stochastic Matrix Equation
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