Core-EP decomposition and its applications

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• 作者：Hongxing Wang ^{winghongxing0902@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A09 ; 15A57 ; 15A24
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：508
• 期：Complete
• 页码：289-300
• 全文大小：284 K

文摘

In this paper, we introduce a new decomposition (called the core-EP decomposition in the present paper) for square matrices and give some of its applications. By applying the decomposition, we derive several characterizations of the core-EP inverse, introduce two orders – the core-EP order and the core-minus partial order, and characterize their properties. We also give some properties of the decomposition.