Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\)
type: Item
instance of: scholarly article
title: Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\)
zbMATH Open document ID: 1054.15002
DOI: 10.1016/S0096-3003(03)00572-1
author: Musheng Wei
author: Yonghui Liu
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: Partitioning a matrix \(M\) into a \(2 \times 2\) block matrix and using the group inverse expressions of the generalized inverse \(M^{(2)}_{TS}\), rank expressions for submatrices in \(M^{(2)}_{TS}\) are developed. Some known important cases are covered with this new result.
reviewed by: Néstor Thome
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2081886
zbMATH Keywords: rank
zbMATH Keywords: submatrix
zbMATH Keywords: generalized inverse \(M^{(2)}_{TS}\)
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: Drazin inverse
MaRDI profile type: Publication
cites work: Q4061081
cites work: Q3207128
cites work: Q4050723
cites work: General expressions for the Moore-Penrose inverse of a 2\(\times 2\) block matrix
cites work: The Moore-Penrose inverse of a partitioned matrix \(M=\begin{pmatrix} D&D\\ B&C\end{pmatrix}\)
cites work: Nullities of submatrices of the Moore-Penrose inverse
cites work: How to characterize equalities for the Moore-Penrose inverse of a matrix
cites work: Rank equalities related to outer inverses of matrices and applications
cites work: A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
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description: scientific article; zbMATH DE number 2081886