Superlinear convergence rates for the Lanczos method applied to elliptic operators
- This paper investigates the convergence of the Lanczos method for computing the smallest eigenpair of a selfadjoint elliptic differential operator via inverse iteration (without shifts). Superlinear convergence rates are established, and their sharpness is investigated for a simple model problem. These results are illustrated numerically for a more difficult problem.
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| Author: | Martin Hanke |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-48644 |
| Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (274) |
| Document Type: | Report |
| Language of publication: | English |
| Date of Publication (online): | 2017/10/17 |
| Year of first Publication: | 1996 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2017/10/17 |
| Page Number: | 12 |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Licence (German): |  Creative Commons 4.0 - Namensnennung, nicht kommerziell, keine Bearbeitung (CC BY-NC-ND 4.0) |