Solving the Yang-Baxter-like matrix equation for a class of elementary matrices

DOI10.1016/j.camwa.2016.07.015zbMath1361.15014OpenAlexW2505523684MaRDI QIDQ521461

Jiu Ding, Haiyan Tian

Publication date: 11 April 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.07.015

zbMATH Keywords

numerical examplesYang-Baxter equationspectral perturbationJordan formquadratic matrix equationelementary matrixrank-one updated matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (7)

On the commuting solutions to the Yang-Baxter-like matrix equation for identity matrix minus special rank-two matrices ⋮ All solutions of the Yang-Baxter-like matrix equation for rank-one matrices ⋮ Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ Unification theories: new results and examples ⋮ A fourth-order method for computing the sign function of a matrix with application in the Yang-Baxter-like matrix equation ⋮ On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation ⋮ Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices

Cites Work

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• A family of solutions of the Yang-Baxter equation.
• Quadratic algebras, Yang-Baxter equation, and Artin-Schelter regularity
• Solutions of the Yang-Baxter equation
• Retractability of set theoretic solutions of the Yang-Baxter equation
• Spectral solutions of the Yang-Baxter matrix equation
• Commuting solutions of the Yang-Baxter matrix equation
• On the structure of the spectral solutions of the Yang-Baxter matrix equation
• Eigenvalues of rank-one updated matrices with some applications
• Partition function of the eight-vertex lattice model
• Computing Solutions of the Yang-Baxter-like Matrix Equation for Diagonalisable Matrices
• A Nontrivial Solution to a Stochastic Matrix Equation
• Further Solutions of a Yang-Baxter-like Matrix Equation
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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