TY - BOOK A1 - Louis, Alfred K. A1 - Maaß, Peter A1 - Rieder, Andreas T1 - Wavelets : Theorie und Anwendungen Y1 - 1998 SN - 3-519-12094-1 U6 - https://doi.org/10.1007/978-3-322-80136-4 PB - Vieweg+Teubner Verlag CY - Wiesbaden ER - TY - INPR A1 - Maaß, Peter A1 - Pereverzev, Sergei V. A1 - Ramlau, Ronny A1 - Solodky, Sergei G. T1 - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection N2 - 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 structure which still leads to optimal convergences rates but requires substantially less scalar products for computing A n compared with standard methods. T3 - NLD Preprints - 48 Y1 - 1998 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-14739 ER - TY - JOUR A1 - Maaß, Peter A1 - Pereverzev, Sergei V. A1 - Ramlau, Ronny A1 - Solodky, Sergei G. T1 - An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection JF - Preprint NLD Y1 - 1998 SN - 1432-2935 VL - 48 PB - Univ. Potsdam CY - Potsdam ER -