Positive Approximation and Interpolation Using Compactly Supported Radial Basis Functions

Jinming Wu, Xiaolei Zhang and Lihui Peng

Mathematical Problems in Engineering, 2010, vol. 2010, 1-10

Abstract:

We discuss the problem of constrained approximation and interpolation of scattered data by using compactly supported radial basis functions, subjected to the constraint of preserving positivity. The approaches are presented to compute positive approximation and interpolation by solving the two corresponding optimization problems. Numerical experiments are provided to illustrate that the proposed method is flexible.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:964528

DOI: 10.1155/2010/964528

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