On nonnegative matrices with prescribed eigenvalues and diagonal entries
type: Item
instance of: scholarly article
title: On nonnegative matrices with prescribed eigenvalues and diagonal entries
zbMATH Open document ID: 1437.15023
author: Jaime H. Alfaro
author: Germain Pastén
author: Ricardo L. Soto
published in: Linear Algebra and its Applications
publication date: 2018-08-29T00:00:00Z
review text: The authors discuss the problem of the existence and construction of nonnegative matrices with prescribed spectrum and diagonal entries. This is an inverse problem that is of importance by itself, away from its applications in other aspects. Precisely, some new sufficient conditions for matrices of size larger than \(3\times 3\) are given. the authors provide an algorithmic approach to construct their conditions. Several scenarios are discussed and some results generalize known ones. For the case \(4\times 4\), a detailed analysis is presented and stronger results are shown. For researchers in this field, this paper will provide many new interesting results. The paper is well written, with a clear literature review for non-specialists.
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 15A18
zbMATH DE Number: 6929141
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: nonnegative matrices
zbMATH Keywords: prescribed diagonal entries
reviewed by: M. Sababheh
MaRDI profile type: Publication
full work available at URL: j.laa.2018.07.023
OpenAlex ID: W2883570382
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Wikidata QID: Q129497664
DOI: 10.1016/J.LAA.2018.07.023
description: scientific article; zbMATH DE number 6929141