Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a matrix X being a nontrivial solution of the Yang-Baxter-like matrix equation AXA = XAX, discriminating commuting solutions… Click to show full abstract
Given a complex idempotent matrix A, we derive simple, sufficient and necessary conditions for a matrix X being a nontrivial solution of the Yang-Baxter-like matrix equation AXA = XAX, discriminating commuting solutions from non-commuting ones. On this basis, we construct all the commuting solutions of the nonlinear matrix equation.
Keywords:
like matrix;
equation;
baxter like;
idempotent matrix;
matrix equation;
yang baxter
Journal Title: Symmetry
Year Published: 2022
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Journal Title: Symmetry
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!