Some inverse problems for acyclic matrices
type: Item
instance of: scholarly article
title: Some inverse problems for acyclic matrices
zbMATH Open document ID: 0880.15008
DOI: 10.1016/0024-3795(95)00692-3
author: Miroslav Fiedler
published in: Linear Algebra and its Applications
publication date: 1998-01-08T00:00:00Z
review text: This paper studies several cases in which, for a given pair of mutually orthogonal vectors, there exists a (maybe specified) acyclic matrix having the given vectors as eigenvectors. Here, as in the author's earlier work on eigenvectors of such matrices [Czechosl. Math. J. 25 (100), 607-618 (1975; Zbl 0325.15014)], an acyclic matrix is a real symmetric matrix whose nondirected graph is a forest.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 05C50
Mathematics Subject Classification ID: 15B57
zbMATH DE Number: 994635
zbMATH Keywords: acyclic matrices
zbMATH Keywords: inverse eigenvalue problems
zbMATH Keywords: eigenvectors
zbMATH Keywords: nondirected graph
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
full work available at URL: 0024-3795(95)00692-3
OpenAlex ID: W2069259127
cites work: Characterization of acyclic D-stable matrices
cites work: Eigenvectors of acyclic matrices
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description: scientific article; zbMATH DE number 994635