A characterization of the Moore-Penrose inverse
type: Item
instance of: scholarly article
title: A characterization of the Moore-Penrose inverse
zbMATH Open document ID: 0764.15003
DOI: 10.1016/0024-3795(93)90325-I
author: Miroslav Fiedler
author: Thomas L. Markham
published in: Linear Algebra and its Applications
publication date: 1993-05-16T00:00:00Z
review text: The inverse \(X\) of a square matrix \(A\) may be characterized as the unique matrix for which the two by two block matrix with entries \(\{A,I,I,X\}\) has the same rank as \(A\). This paper gives a generalization for singular and rectangular \(A\) using the Moore-Penrose inverse \(A^ +\).
reviewed by: Stephen L. Campbell
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 166251
zbMATH Keywords: characterization
zbMATH Keywords: generalized inverse
zbMATH Keywords: Moore-Penrose inverse
MaRDI profile type: Publication
cites work: Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
cites work: What are Schur complements, anyway?
cites work: A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
cites work: An Application of Theorems of Schur and Albert
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description: scientific article; zbMATH DE number 166251