New Representations of the Group Inverse of2×2Block Matrices | Zendy

Xiaoji Liu | Zendy; Qi Yang | Zendy; Hongwei Jin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

New Representations of the Group Inverse of2×2Block Matrices

Author(s) -

Xiaoji Liu,

Qi Yang,

Hongwei Jin

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/247028

Subject(s) - inverse , group (periodic table) , rank (graph theory) , mathematics , algorithm , computer science , combinatorics , chemistry , geometry , organic chemistry

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research