Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\).
type: Item
instance of: scholarly article
title: Nonnegative matrices \(A\) with \(AA^\#\geqslant 0\).
zbMATH Open document ID: 1043.15017
author: John Tynan
author: S. K. Jain
published in: Linear Algebra and its Applications
publication date: 2004-03-14T00:00:00Z
review text: This paper deals with nonnegative matrices \(A\) having group inverse \(A^\#\) satisfying certain nonnegativity property. Concretely, the class of nonnegative matrices \(A\in\mathbb{R}^{n\times n}\) such that \(AA^\#\geq 0\) is characterized. The relationship with nonnegative matrices such that \(A^\#\geq 0\) is analyzed. Finally, nonnegative matrices \(A\in\mathbb{R}^{n\times n}\) such that \(A-A^2\geq 0\) are studied.
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A09
zbMATH DE Number: 2056697
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: group inverse
zbMATH Keywords: monotone matrices
zbMATH Keywords: idempotent matrices
reviewed by: Néstor Thome
MaRDI profile type: Publication
full work available at URL: j.laa.2003.07.007
OpenAlex ID: W1997077214
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DOI: 10.1016/J.LAA.2003.07.007
description: scientific article; zbMATH DE number 2056697