RFMP: An Iterative Best Basis Algorithm for Inverse Problems in the Geosciences

Volker Michel ()
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Volker Michel: University of Siegen, Geomathematics Group

A chapter in Handbook of Geomathematics, 2015, pp 2121-2147 from Springer

Abstract: Abstract We summarize a recently introduced greedy algorithm for inverse problems in geomathematics. The algorithm is able to combine heterogeneous systems of trial functions to construct a stable approximation to the solution of the given ill-posed problem. The representation of this approximation with respect to the trial functions of mixed types is sparse in the sense that essentially less trial functions than available are used. Some new theoretical results about the method are also proved here.

Keywords: Spherical Harmonic; Trial Function; Match Pursuit; Grace Data; Mass Anomaly (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-54551-1_93

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DOI: 10.1007/978-3-642-54551-1_93

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