Finding Solutions to the Yang–Baxter-like Matrix Equation for Diagonalizable Coefficient Matrix

Abstract

Let A be a diagonalizable complex matrix. In this paper, we discuss finding solutions to the Yang–Baxter-like matrix equation AXA=XAX. We then present a concrete example to illustrate the validity of the results obtained.

Keywords

• Yang–Baxter-like matrix equation
• diagonalizable matrix
• Jordan blocks