The C-S Inverse and Its Applications

Abstract In this paper, we introduce a generalized core inverse (called the C-S inverse) and give some properties characterizations of inverse. By applying inverse, binary relation (denoted “ $${\mathop \le \limits ^{\textcircled {S}}}$$ ≤ S ”) partial order denoted {{c\!s}}}}$$ c s ”), study their consider relationship between them classical orders. At last, by EP matrix i -EP matrix.