1. Stable multiquadric approximation by local thinning
- Author
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Lopez de Silanes, M. C.: Palacios, M, Sanz, G, torrens J.J, Madaune-Tort, M, Parossin C, Rujillo, D, Bozzini, M, Lenarduzzi, L, BOZZINI, MARIA TUGOMIRA, Lenarduzzi, L., Lopez de Silanes, M. C.: Palacios, M, Sanz, G, torrens J.J, Madaune-Tort, M, Parossin C, Rujillo, D, Bozzini, M, Lenarduzzi, L, BOZZINI, MARIA TUGOMIRA, and Lenarduzzi, L.
- 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.
- Published
- 2010