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Stable multiquadric approximation by local thinning
- Publication Year :
- 2010
-
Abstract
- In this paper our concern is the recovery of a highly regular function by a discrete set of data with arbitrary distribution. We consider the case of a nonstationary multiquadric interpolant that presents numerical breakdown. Therefore we propose a global least squares multiquadric approximant with a center set of maximal size and obtained by a new thinning technique. The new thinning scheme removes the local bad conditions in order to obtain a well conditioned matrix. The choice of working on local subsets of the data set $X$ provides an effective solution. Some numerical examples to validate the goodness of our proposal are given.
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.od......1299..06206ab12ab37840c1976f25643ddf05