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Properties of Invertible Solutions of the Yang–Baxter-like Matrix Equation for Nonzero Singular Matrix

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 equ...

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Hoofdauteurs: Xianghui Wen, Di Zhao, Hongyi Li, Chengwei Pan
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: MDPI AG 2026-05-01
Reeks:Mathematics
Onderwerpen:
Yang–Baxter-like matrix equation
elementary divisor
invertible solutions
group inverse
Online toegang:https://www.mdpi.com/2227-7390/14/10/1616
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