Computing Solutions of the Yang-Baxter-like Matrix Equation for Diagonalisable Matrices

被引：14
|
作者：
Ding, J. [1 ,2 ]
Rhee, Noah H. [3 ]
机构：
[1] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA
[2] Yangzhou Univ, Sch Math Sci, Yangzhou 225009, Jiangsu, Peoples R China
[3] Univ Missouri, Dept Math, Kansas City, MO 64110 USA
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2015年 / 5卷 / 01期
关键词：
Matrix equation; mean ergodic theorem; diagonalisable matrix;
D O I：
10.4208/eajam.230414.311214a
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Yang-Baxter-like matrix equation AXA=XAX is reconsidered, where A is any complex square matrix. A collection of spectral solutions for the unknown square matrix X were previously found. When Ais diagonalisable, by applying the mean ergodic theorem we propose numerical methods to calculate those solutions.
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页码：75 / 84
页数：10
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