Article ID Journal Published Year Pages File Type
4602914 Linear Algebra and its Applications 2008 16 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory