Solutions of the Yang-Baxter-like matrix equation for the matrix with nonsingular Jordan blocks

DOI10.11948/20220267MaRDI QIDQ6612429

Xiaoli Li, Qianglian Huang, Saijie Chen, Lanping Zhu

Publication date: 30 September 2024

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

zbMATH Keywords

group inverseJordan blockYang-Baxter-like matrix equationnon-commuting solution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

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
• Solving a class of quadratic matrix equations
• Generalized inverses: theory and computations
• Spectral solutions of the Yang-Baxter matrix equation
• Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices
• All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues
• Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices
• Commuting solutions of the Yang-Baxter matrix equation
• Partition function of the eight-vertex lattice model
• All non-commuting solutions of the Yang-Baxter matrix equation for a class of diagonalizable matrices
• A Nontrivial Solution to a Stochastic Matrix Equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• ALL SOLUTIONS OF THE YANG-BAXTER-LIKE MATRIX EQUATION WHEN <i>A</i>³ = <i>A</i>

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