English

Core-EP Decomposition and its Applications

Rings and Algebras 2017-05-01 v1

Abstract

In this paper, we introduce the notion of the core-EP decomposition and some of its properties. By using the decomposition, we derive several characterizations of the core-EP inverse, introduce a pre-order(i.e. the core-EP order) and a partial order(i.e. the core-minus partial order), and characterize the properties of both orders.

Keywords

Cite

@article{arxiv.1606.09342,
  title  = {Core-EP Decomposition and its Applications},
  author = {Hongxing Wang},
  journal= {arXiv preprint arXiv:1606.09342},
  year   = {2017}
}
R2 v1 2026-06-22T14:39:12.017Z