Eigenvalue inclusion regions from inverses of shifted matrices

M.E. Hochstenbach, D.A. Singer, P.F. Zachlin

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)


We consider eigenvalue inclusion regions based on the field of values, pseudospectra, Gershgorin region, and Brauer region of the inverse of a shifted matrix. A family of these inclusion regions is derived by varying the shift. We study several properties, one of which is that the intersection of a family is exactly the spectrum. The numerical approximation of the inclusion sets for large matrices is also examined.
Original languageEnglish
Pages (from-to)2481-2496
JournalLinear Algebra and Its Applications
Issue number10
Publication statusPublished - 2008

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