Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix

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Explicit solutions of the Yang-Baxter-like matrix equation for an idempotent matrix

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作者：Saeed Ibrahim Adam Mansour ^{mansour@uofk.edu" class="auth_mail" title="E-mail the corresponding author} ; Jiu Ding ; ^{Jiu.Ding@usm.edu" class="auth_mail" title="E-mail the corresponding author} ; Qianglian Huang ^{huangql@yzu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
关键词：Yang&ndash ; Baxter-like matrix equation ; Idempotent matrix
刊名：Applied Mathematics Letters
出版年：2017
出版时间：January 2017
年：2017
卷：63
期：Complete
页码：71-76
全文大小：480 K

文摘

Let A

A

be an idempotent matrix. We obtain an explicit expression for all the solutions of the quadratic matrix equation AXA=XAX

A X A = X A X

, completing the task of finding general solutions of the equation explicitly with a given idempotent matrix A

A

.

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