Michiel Hochstenbach: Eigenvalue inclusion regions from inverses of shifted matrices

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Michiel Hochstenbach: Eigenvalue inclusion regions from inverses of shifted matrices

Povzetek:  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.