An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection

The aim of this paper is to describe an efficient strategy for descritizing ill-posed linear operator equations of the first kind: we consider Tikhonov-Phillips-regularization χ^δ α = (a * a + α I)^-1 A * y ^δ with a finite dimensional approximation A n instead of A. We propose a sparse matrix struc...

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Bibliographic Details
Main Authors: Maaß, Peter, Pereverzev, Sergei V., Ramlau, Ronny, Solodky, Sergei G.
Format: Others
Language:English
Published: Universität Potsdam 1998
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-14739
http://opus.kobv.de/ubp/volltexte/2007/1473/