Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472606 | Computers & Mathematics with Applications | 2011 | 12 Pages |
Abstract
We consider the eigenvalue problem for the case where the input matrix is symmetric and its entries are perturbed, with perturbations belonging to some given intervals. We present a characterization of some of the exact boundary points, which allows us to introduce an inner approximation algorithm, that in many case estimates exact bounds. To our knowledge, this is the first algorithm that is able to guarantee exactness. We illustrate our approach by several examples and numerical experiments.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Milan HladÃk, David Daney, Elias Tsigaridas,