Abstract
AbstractIn this paper, we introduce a generalized core inverse (called the C-S inverse) and give some properties and characterizations of the inverse. By applying the C-S inverse, we introduce a binary relation (denoted “$${\mathop \le \limits ^{\textcircled {S}}}$$≤S”) and a partial order (called the C-S partial order and denoted “$${\mathop \le \limits ^{\textcircled {{c\!s}}}}$$≤cs”), study their properties and consider the relationship between them and some classical partial orders. At last, by applying the C-S inverse, we give some characterizations of the EP matrix andi-EP matrix.
Funder
Research Fund Project of Guangxi University for Nationalities
Special Fund for Science and Technological Bases and Talents of Guangxi
Thousands of Young and Middle-aged Key Teachers Training Programme in Guangxi Colleges and Universities
Publisher
Springer Science and Business Media LLC
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