Right core inverse and the related generalized inverses
Long Wang, Dijana Mosic, Yuefeng Gao
TL;DR
This paper introduces the concept of the right core inverse, explores its properties, and establishes relationships with related generalized inverses and EP elements, advancing the theoretical framework of generalized inverses.
Contribution
It defines the right core inverse, provides characterizations, and connects it with pseudo core inverses and EP elements, enriching the theory of generalized inverses.
Findings
Characterization of the right core inverse
Relations between core, pseudo core inverses, and EP elements
Expressions for the right core inverse
Abstract
In this paper, we introduce the notion of a (generalized) right core inverse and give its characterizations and expressions. Then, we provide the relation schema of (one-sided) core inverses, (one-sided) pseudo core inverses and EP elements.
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Taxonomy
TopicsMatrix Theory and Algorithms