The Moore-Penrose inverse of matrices with an acyclic bipartite graph
type: Item
instance of: scholarly article
title: The Moore-Penrose inverse of matrices with an acyclic bipartite graph
zbMATH Open document ID: 1059.15012
author: D. D. Olesky
author: Thomas Britz
author: P. van den Driessche
published in: Linear Algebra and its Applications
publication date: 2004-11-18T00:00:00Z
review text: For any \((m \times n)\)-matrix \(A\), the Moore-Penrose inverse \(A^\dagger\) is the unique matrix that satisfies the following four properties: \(A^\dagger A A^\dagger = A^\dagger\), \(A A^\dagger A = A\), \((A^\dagger A)^T = A^\dagger A\), \((AA^\dagger)^T = AA^\dagger\). The authors study the Moore-Penrose inverse of nearly reducible matrices.
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 05C70
zbMATH DE Number: 2116523
zbMATH Keywords: Moore-Penrose inverse
zbMATH Keywords: generalized inverse
zbMATH Keywords: bipartite graph
zbMATH Keywords: matching
zbMATH Keywords: nearly reducible matrix
zbMATH Keywords: Minimally strongly connected digraph
zbMATH Keywords: sign pattern
MaRDI profile type: Publication
full work available at URL: j.laa.2004.04.007
OpenAlex ID: W2089930092
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DOI: 10.1016/J.LAA.2004.04.007
description: scientific article; zbMATH DE number 2116523