An iterative method for Tikhonov regularization with a general linear regularization operator

M.E. Hochstenbach, L. Reichel

Research output: Book/ReportReportAcademic

35 Citations (Scopus)
261 Downloads (Pure)

Abstract

Tikhonov regularization is one of the most popular approaches to solve discrete ill-posed problems with error-contaminated data. A regularization operator and a suitable value of a regularization parameter have to be chosen. This paper describes an iterative method, based on Golub-Kahan bidiagonalization, for solving large-scale Tikhonov minimization problems with a linear regularization operator of general form. The regularization parameter is determined by the discrepancy principle. Computed examples illustrate the performance of the method. Key words. Discrete ill-posed problem, iterative method, Tikhonov regularization, general linear regularization operator, discrepancy principle.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages13
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1035
ISSN (Print)0926-4507

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