Further Solutions of a Yang-Baxter-like Matrix Equation
Further Solutions of a Yang-Baxter-like Matrix Equation
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DOI：
10.4208/eajam.130713.221113a
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发表时间：
2013-11
影响因子：
1.2
通讯作者：
Jiu Ding;Chenhua Zhang;N. Rhee
中科院分区：
文献类型：
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作者：
Jiu Ding;Chenhua Zhang;N. Rhee
重新考虑了Yang-Baxter-like矩阵方程AXA = XAX，得到了与任意给定的复方阵A可交换的无穷多个解.我们还讨论了所获得的解决方案的显式结构。
The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions that commute with any given complex square matrix A are found. Our results here are based on the fact that the matrix A can be replaced with its Jordan canonical form. We also discuss the explicit structure of the solutions obtained.