NDLI: Near-optimal data-independent point locations for radial basis function interpolation

Content Provider	Springer Nature Link
Author	Marchi, Stefa Schaback, Robert Wendland, Holger
Copyright Year	2005
Abstract	The goal of this paper is to construct data-independent optimal point sets for interpolation by radial basis functions. The interpolation points are chosen to be uniformly good for all functions from the associated native Hilbert space. To this end we collect various results on the power function, which we use to show that good interpolation points are always uniformly distributed in a certain sense. We also prove convergence of two different greedy algorithms for the construction of near-optimal sets which lead to stable interpolation. Finally, we provide several examples.
Starting Page	317
Ending Page	330
Page Count	14
File Format	PDF
ISSN	10197168
Journal	Advances in Computational Mathematics
Volume Number	23
Issue Number	3
e-ISSN	15729044
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2005-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	radial basis function interpolation optimal points greedy algorithms Theory of Computation Numeric Computing Mathematics Algebra Calculus of Variations and Optimal Control Optimization
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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Near-optimal data-independent point locations for radial basis function interpolation