Core-EP Decomposition and its Applications

Published 30 Jun 2016 in math.RA | (1606.09342v1)

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.

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Hongxing Wang

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