The change in eigenvalue multiplicity associated with perturbation of a diagonal entry

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We investigate the relation between perturbing the i-th diagonal entry of AinMn(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.
Original languageUnknown
Pages (from-to)525-532
JournalLinear & Multilinear Algebra
Issue number5
Publication statusPublished - 1 Jan 2012

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