All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues

DOI10.1016/j.aml.2019.106048zbMath1425.15013OpenAlexW2973007519MaRDI QIDQ2338287

Dongmei Shen, Musheng Wei

Publication date: 21 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106048

zbMATH Keywords

diagonalizable matricesYang-Baxter-like matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Yang-Baxter equations (16T25)

Related Items (2)

Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ Some non-commuting solutions of the Yang-Baxter-like matrix equation

Cites Work

• Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix
• Solving the Yang-Baxter-like matrix equation for rank-two matrices
• All solutions of the Yang-Baxter-like matrix equation for rank-one matrices
• On commuting solutions of the Yang-Baxter-like matrix equation
• Spectral solutions of the Yang-Baxter matrix equation
• Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices
• Commuting solutions of the Yang-Baxter matrix equation
• On the structure of the spectral solutions of the Yang-Baxter matrix equation
• Partition function of the eight-vertex lattice model
• A Nontrivial Solution to a Stochastic Matrix Equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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