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Michiel Hochstenbach: Eigenvalue inclusion regions from inverses of shifted matrices

Datum objave: 7. 3. 2008
Vir: Seminar za numerično analizo
Sreda 12.3.2008 od 10h do 11h, soba 3.07 na Jadranski 21

Predavanje od 10h do 11h

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.