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2013 New Representations of the Group Inverse of 2×2 Block Matrices
Xiaoji Liu, Qi Yang, Hongwei Jin
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/247028

Abstract

This paper presents a full rank factorization of a 2×2 block matrix without any restriction concerning the group inverse. Applying this factorization, we obtain an explicit representation of the group inverse in terms of four individual blocks of the partitioned matrix without certain restriction. We also derive some important coincidence theorems, including the expressions of the group inverse with Banachiewicz-Schur forms.

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Xiaoji Liu. Qi Yang. Hongwei Jin. "New Representations of the Group Inverse of 2×2 Block Matrices." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/247028

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.15001
MathSciNet: MR3082046
Digital Object Identifier: 10.1155/2013/247028

Rights: Copyright © 2013 Hindawi

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