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All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two

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  • Duanmei Zhou
  • Jiawen Ding

Abstract

Let be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation . We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation. When is a nilpotent matrix with rank 1 and rank 2, we get all solutions of the Yang–Baxter-like matrix equation.

Suggested Citation

  • Duanmei Zhou & Jiawen Ding, 2020. "All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two," Complexity, Hindawi, vol. 2020, pages 1-7, June.
    • Handle: RePEc:hin:complx:2585602
    DOI: 10.1155/2020/2585602
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    Cited by:

    1. Ashim Kumar & Dijana Mosić & Predrag S. Stanimirović & Gurjinder Singh & Lev A. Kazakovtsev, 2022. "Commuting Outer Inverse-Based Solutions to the Yang–Baxter-like Matrix Equation," Mathematics, MDPI, vol. 10(15), pages 1-16, August.

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