Core-EP decomposition and its applications

• Published in: Linear algebra and its applications Vol. 508; pp. 289 - 300
• Main Author: Wang, Hongxing
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.11.2016
• Subjects: Core-EP decomposition; Core-EP inverse; Core-EP order; Core-minus partial order; 15A57; 15A24; Core-EP inverse; Core-minus partial order; 15A09; Core-EP order; Core-EP decomposition

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 c...