The nonnegative inverse eigenvalue problem.
type: Item
instance of: scholarly article
title: The nonnegative inverse eigenvalue problem.
zbMATH Open document ID: 1040.15009
author: Patricia D. Egleston
author: Terry D. Lenker
author: S. K. Narayan
published in: Linear Algebra and its Applications
publication date: 2004-03-14T00:00:00Z
review text: This is a survey paper on the inverse eigenvalue problem which in addition presents new results on the spectra of \(5\times 5\) symmetric nonnegative matrices.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A29
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15-02
zbMATH DE Number: 2056702
zbMATH Keywords: inverse eigenvalue problem
zbMATH Keywords: spectrum of symmetric matrix
zbMATH Keywords: survey paper
zbMATH Keywords: nonnegative matrices
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: j.laa.2003.10.019
OpenAlex ID: W2121535561
cites work: Q4326384
cites work: On the nonnegative eigenvalue problem
cites work: The spectra of nonnegative matrices via symbolic dynamics
cites work: Algebraic Shift Equivalence and Primitive Matrices
cites work: Q5834412
cites work: Q5834413
cites work: Eigenvalues of nonnegative symmetric matrices
cites work: Matrix Analysis
cites work: Row Stochastic Matrices Similar to Doubly Stochastic Matrices
cites work: The real and the symmetric nonnegative inverse eigenvalue problems are different
cites work: Q5805016
cites work: Matrices similar to a positive or essentially positive matrix
cites work: A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices
cites work: Q4527109
cites work: A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications
cites work: A characterization of trace zero nonnegative \(5\times 5\) matrices
cites work: A note on an inverse problem for nonnegative matrices
cites work: Q4519440
cites work: Q4039989
cites work: Spectral properties of doubly-stochastic matrices
cites work: Methods of constructing certain stochastic matrices
cites work: An inverse eigenvalue problem for symmetric and normal matrices
cites work: An inequality for nonnegative matrices and the inverse eigenvalue problem
cites work: A note on eigenvalues of nonnegative matrices
cites work: Constructing symmetric nonnegative matrices
cites work: Q5793091
cites work: Eigenvalues of nonnegative matrices
DOI: 10.1016/J.LAA.2003.10.019
description: scientific article; zbMATH DE number 2056702