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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.
Author:Martin Hanke
URN (permanent link):urn:nbn:de:hbz:386-kluedo-48644
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (274)
Document Type:Report
Language of publication:English
Publication Date:2017/10/17
Year of Publication:1996
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2017/10/17
Number of page:12
Faculties / Organisational entities: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)