Characterizing the additive separability of operator generalized inverses

Linear and Multilinear Algebra 2026

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Authors: Yuao Sun, Xiaohui Li, Chunyuan Deng
DOI: 10.1080/03081087.2026.2619929
Cited by: 0
References: 23

Abstract

We present the operator matrix forms under different orthogonal relations. By using these operator matrix forms, we establish the necessary and sufficient conditions for the additivity of the MP inverse under one-side star-orthogonal relations (resp. one-side Drazin-orthogonal relations). The necessary and sufficient conditions for the additivity of the Drazin inverse under Drazin-orthogonal relations are given and the necessary and sufficient conditions for the existence of the parallel sum are obtained.

Fields of Study & Subjects

Matrix Theory and Algorithms Rings Modules and Algebras Numerical methods in inverse problems

Publication details

Journal / source
Linear and Multilinear Algebra
Volume
74
Issue
4
Pages
462–482
Publication date
28 January 2026
Language
EN