A characterization of trace zero nonnegative \(5\times 5\) matrices
type: Item
instance of: scholarly article
title: A characterization of trace zero nonnegative \(5\times 5\) matrices
zbMATH Open document ID: 0946.15008
DOI: 10.1016/S0024-3795(99)00099-3
author: Thomas J. Laffey
author: Eleanor Meehan
published in: Linear Algebra and its Applications
publication date: 2000-10-12T00:00:00Z
review text: The determination of necessary and sufficient conditions for the existence of an entrywise nonnegative \(n \times n\) matrix \(A\) with spectrum \(\sigma\) is presented for the case \( n=5 \) with the trace equal to zero i. e. \(\lambda_1 +...+ \lambda_5 = 0\), where \(\lambda_i\) are complex numbers. This determination using the notion of \(n\)-cycle products is a part of the nonnegative inverse eigenvalue problem.
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 1419871
zbMATH Keywords: nonnegative inverse eigenvalue problem
zbMATH Keywords: Petersen graph
zbMATH Keywords: cycles
MaRDI profile type: Publication
cites work: Q3943082
cites work: A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
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cites work: An inequality for nonnegative matrices and the inverse eigenvalue problem
description: scientific article; zbMATH DE number 1419871