Core-EP decomposition and its applications
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...
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| Published in | Linear algebra and its applications Vol. 508; pp. 289 - 300 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.11.2016
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| Subjects | |
| Online Access | Get full text |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Wang, Hongxing |
| Author_xml | – sequence: 1 givenname: Hongxing surname: Wang fullname: Wang, Hongxing email: winghongxing0902@163.com organization: Department of Financial Mathematics, Huainan Normal University, Anhui, 232038, China |
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