The Solution of Linear Inverse Problems in Satellite Geodesy by Means of Spherical Spline Approximation

  • In this paper we consider a certain class of geodetic linear inverse problems LambdaF=G in a reproducing kernel Hilbert space setting to obtain a bounded generalized inverse operator Lambda. For a numerical realization we assume G to be given at a finite number of discrete points to which we employ a spherical spline interpolation method adapted to the Hilbertspaces. By applying Lambda to the obtained spline interpolant we get an approximation of the solution F. Finally our main task is to show some properties of the approximated solution and to prove convergence results if the data set increases.

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Metadaten
Author:F. Schneider
URN:urn:nbn:de:hbz:386-kluedo-5501
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (149)
Document Type:Preprint
Language of publication:English
Year of Completion:1995
Year of first Publication:1995
Publishing Institution:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/06/07
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011