The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation
type: Item
instance of: scholarly article
title: The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation
zbMATH Open document ID: 1019.15005
DOI: 10.1016/S0024-3795(02)00439-1
author: M. Tsatsomeros
author: Panayiotis J. Psarrakos
published in: Linear Algebra and its Applications
publication date: 2003-03-11T00:00:00Z
review text: An almost skew-symmetric matrix is a matrix \(A\) such that \(A+A^t\) has rank 1. For an almost-skew symmetric nonnegative matrix the authors obtain estimates on the eigenvalues of Levinger's transformation \[ L(A,\alpha)=(1-\alpha)A+\alpha A^t, \alpha \in [0,1/2] \] [cf. \textit{B. W. Levinger}, An inequality for nonnegative matrices. Notices Am. Math. Soc. 17, 260 (1970)].
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 1880027
zbMATH Keywords: almost skew-symmetric matrix
zbMATH Keywords: Perron value
zbMATH Keywords: Perron vector
zbMATH Keywords: Levinger's transformation
zbMATH Keywords: bounds for eigenvalues
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
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full work available at URL: s0024-3795(02)00439-1
OpenAlex ID: W2127190111
description: scientific article; zbMATH DE number 1880027