Fast NFFT based summation of radial functions

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URL:	http://ub-madoc.bib.uni-mannheim.de/1734
URN:	urn:nbn:de:bsz:180-madoc-17349
Document Type:	Working paper
Year of publication:	2003
The title of a journal, publication series:	None
Publication language:	English
Institution:	School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series:	Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject:	510 Mathematics
Classification:	MSC: 65F30 65T50 65T40 ,
Subject headings (SWD):	Schnelle Fourier-Transformation , Knoten <Mathematik>
Keywords (English):	fast discrete summation , fast Fourier transform at nonequispaced knots , generalized multiquadric
Abstract:	This paper is concerned with the fast summation of radial functions by the fast Fourier transform for nonequispaced data. We enhance the fast summation algorithm proposed in [20] by introducing a new regularization procedure based on the two-point Taylor interpolation by algebraic polynomials and estimate the corresponding approximation error. Our error estimates are more sophisticated than those in [20]. Beyond the kernels Kβ(χ)
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BASE: Fenn, Markus ; Steidl, Gabriele

Google Scholar: Fenn, Markus ; Steidl, Gabriele

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