The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
type: Item
instance of: scholarly article
title: The change in eigenvalue multiplicity associated with perturbation of a diagonal entry
zbMATH Open document ID: 1247.15007
DOI: 10.1080/03081087.2011.610973
author: Charles R. Johnson
author: António Leal Duarte
author: Carlos M. Saiago
published in: Linear and Multilinear Algebra
publication date: 2012-07-04T00:00:00Z
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15B57
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 6052699
zbMATH Keywords: eigenvalue multiplicity
zbMATH Keywords: submatrices
zbMATH Keywords: Hermitian matrices
zbMATH Keywords: graph
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1080/03081087.2011.610973
OpenAlex ID: W2043872669
cites work: Matrix Analysis
cites work: Principal Submatrices, Geometric Multiplicities, and Structured Eigenvectors
cites work: The maximum multiplicity of an eigenvalue in a matrix whose graph is a tree
cites work: Converse to the Parter--Wiener theorem: the case of non-trees
cites work: The Parter--Wiener Theorem: Refinement and Generalization
cites work: The structure of matrices with a maximum multiplicity eigenvalue
cites work: Branch duplication for the construction of multiple eigenvalues in an Hermitian matrix whose graph is a tree
cites work: Hermitian Matrices, Eigenvalue Multiplicities, and Eigenvector Components
cites work: Implicit construction of multiple eigenvalues for trees
cites work: On Fiedler- and Parter-vertices of acyclic matrices
cites work: Matrices with prescribed characteristic polynomials and a prescribed submatrix. I, II
cites work: On the Eigenvalues and Eigenvectors of a Class of Matrices
cites work: Spectral multiplicity and splitting results for a class of qualitative matrices
reviewed by: Tin-Yau Tam
description: scientific article; zbMATH DE number 6052699