• search hit 1 of 1
Back to Result List

Brakhage's implicit iteration method and Information Complexity of equations with operators having closed range

  • An a posteriori stopping rule connected with monitoringthe norm of second residual is introduced forBrakhage's implicit nonstationary iteration method, applied to ill-posed problems involving linear operatorswith closed range. It is also shown that for someclasses of equations with such operators the algorithmconsisting in combination of Brakhage's method withsome new discretization scheme is order optimal in the sense of Information Complexity.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
Author:Sergei V. Pereverzev, Eberhard Schock
URN (permanent link):urn:nbn:de:hbz:386-kluedo-7975
Serie (Series number):Preprints (rote Reihe) des Fachbereich Mathematik (302)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/04/03
Tag:Complexity and performance of numerical algorithms; Improperly posed problems
Source:Journal of Complexity
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Jxx Numerical analysis in abstract spaces / 65J20 Improperly posed problems; regularization
65-XX NUMERICAL ANALYSIS / 65Yxx Computer aspects of numerical algorithms / 65Y20 Complexity and performance of numerical algorithms [See also 68Q25]
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011