In this paper, we study the computational aspect of eigenvalue perturbation theory. In previous research, high order perturbation terms were often derived from Taylor series expansion. Computations based on such an approach can be both unstable and highly complicated. We present here an approach bas
Approximate solutions and eigenvalue bounds from Krylov subspaces
β Scribed by Chris C. Paige; Beresford N. Parlett; Henk A. van der Vorst
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 878 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1070-5325
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An error bound for a quasilinear elliptic boundary value problem (including the case of nonlinear differential boundary conditions) is obtained as a positively weighted sum of the absolute defects of the operator equations. Once an approximate solution is computed, using linear programming, by minim
## Abstract An upper bound for __E__~0~, which has been derived from the conjugate eigenvalue problem by Hall, is discussed. It is emphasized that the bound is only guaranteed when __V__ is negativeβdefinite. An alternative bound is presented which is free from this restriction, and the underlying