All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two
Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX. We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation. When A is a nilpotent matrix with rank 1 and rank 2, we get all solutions of t...
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Main Authors: | Duanmei Zhou, Jiawen Ding |
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Format: | Article |
Language: | English |
Published: |
Wiley
2020-01-01
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Series: | Complexity |
Online Access: | http://dx.doi.org/10.1155/2020/2585602 |
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