Please use this identifier to cite or link to this item:
Title: The change in eigenvalue multiplicity associated with perturbation of a diagonal entry of the matrix
Authors: Johnson, Charles R. 
Duarte, António Leal 
Saiago, Carlos M. 
Keywords: Eigenvalue multiplicity; Submatrices; Hermitian matrices; Graph
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-48 (2009)
Serial title, monograph or event: Pré-Publicações DMUC
Issue: 09-48
Place of publication or event: Coimbra
Abstract: Here we investigate the relation between perturbing the i-th diagonal entry of A 2 Mn(F) and extracting the principal submatrix A(i) from A with respect to the possible changes in multiplicity of a given eigenvalue. A complete description is given and used to both generalize and improve prior work about Hermitian matrices whose graph is a given tree.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

Files in This Item:
File Description SizeFormat
The change in eigenvalue multiplicity.pdf164.22 kBAdobe PDFView/Open
Show full item record

Page view(s)

checked on Aug 11, 2022


checked on Aug 11, 2022

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.