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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)
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

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