Explicit solutions of the Yang-Baxter-like matrix equation for a diagonalizable matrix with spectrum contained in \(\{1, \alpha , 0\}\)

DOI10.1016/j.amc.2018.12.034zbMath1428.15013OpenAlexW2905978531MaRDI QIDQ2008848

Zhibing Chen, Dong-Mei Chen, Xue-rong Yong

Publication date: 26 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.034

zbMATH Keywords

eigenvaluesdiagonalizable matrixYang-Baxter-like matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30)

Related Items (3)

Doubly stochastic and permutation solutions to \(AXA = XAX\) when \(A\) is a permutation matrix ⋮ Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ Spectral properties of solutions of the Yang-Baxter-like matrix equation

Cites Work

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• 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
• Spectral solutions of the Yang-Baxter matrix equation
• Solutions of the Yang-Baxter matrix equation for an idempotent
• Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices
• Commuting solutions of the Yang-Baxter matrix equation
• A Nontrivial Solution to a Stochastic Matrix Equation

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