Relative perturbation theory for hyperbolic eigenvalue problem
✍ Scribed by Ivan Slapničar; Ninoslav Truhar
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 140 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
We develop an analog of classical oscillation theory for discrete symplectic eigenvalue problems with Dirichlet boundary conditions which, rather than measuring the spectrum of one single problem, measures the difference between the spectra of two different problems. This is done by replacing focal
& = cw(l + 6) as an approximation to 0 is measured by 6 = (relative error in i;) = (& -(~>/a. The quantity -log,,
There is now a large literature on structured perturbation bounds for eigenvalue problems of the form where H and M are Hermitian. These results give relative error bounds on the ith eigenvalue, λ i , of the form and bound the error in the ith eigenvector in terms of the relative gap, In general,