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