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

Carlos Manuel Saiago

doi:10.1080/03081087.2011.610973

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

Carlos Manuel Saiago

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We investigate the relation between perturbing the i-th diagonal entry of AinM_n(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 language	Unknown
Pages (from-to)	525-532
Journal	Linear & Multilinear Algebra
Volume	60
Issue number	5
DOIs	https://doi.org/10.1080/03081087.2011.610973
Publication status	Published - 1 Jan 2012

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10.1080/03081087.2011.610973

Cite this

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AB - 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.

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