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Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices

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Publication:3133821
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DOI10.1142/S1005386718000032zbMath1382.15021MaRDI QIDQ3133821

Jiu Ding, Qixiang Dong, Qianglian Huang

Publication date: 6 February 2018

Published in: Algebra Colloquium (Search for Journal in Brave)


zbMATH Keywords

Toeplitz matrixJordan canonical formnilpotent matrixquadratic matrix equationcommuting solution


Mathematics Subject Classification ID

Matrix equations and identities (15A24) Commutativity of matrices (15A27) Canonical forms, reductions, classification (15A21) Toeplitz, Cauchy, and related matrices (15B05)


Related Items (5)

On commuting solutions of the Yang-Baxter-like matrix 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 for nilpotent matrices of index two ⋮ ALL SOLUTIONS OF THE YANG-BAXTER-LIKE MATRIX EQUATION WHEN <i>A</i><sup>3</sup> = <i>A</i>




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