An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection |
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Authors: | Peter Maaß Sergei V Pereverzev Ronny Ramlau Sergei G Solodky |
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Institution: | Universit?t Bremen, Fachbereich Mathematik und Informatik, Postfach 330440, 28334 Bremen, Germany, DE
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Abstract: | Summary. The aim of this paper is to describe an efficient adaptive strategy for discretizing ill-posed linear operator equations
of the first kind: we consider Tikhonov-Phillips regularization
with a finite dimensional approximation instead of A. We propose a sparse matrix structure which still leads to optimal convergences rates but requires substantially less scalar
products for computing compared with standard methods.
Received September 16, 1998 / Revised version received August 4, 1999 / Published online August 2, 2000 |
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