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.

引用

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页码：75 / 84

页数：10

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