Eigenvalue inclusion regions from inverses of shifted matrices
Michiel E. Hochstenbach, DA Singer, Paul F. Zachlin · TU/e Research Portal · 2007
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.