Invertible Solutions of the Yang-Baxter-Like Matrix Equation for Nonzero Singular Matrix
Preprint
- 24 March 2026
- preprint
- Published by MDPI AG in Preprints.org
Abstract
Assuming the coefficient matrix is a nonzero singular matrix, we demonstrate that the invertible solutions of the Yang-Baxter-like matrix equation must possess at least two elementary divisors. This establishes a necessary condition for an invertible matrix to satisfy the Yang-Baxter-like matrix equation. Building on this finding, we derive several meaningful corollaries. Additionally, we provide some examples to illustrate our results.Keywords
All Related Versions
- Version 1, 2026-03-24, Preprints
- Published version: Mathematics, 14 (10), 1616.
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