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Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration. (English) Zbl 0940.65011
The authors propose preconditioning strategies which diminished number of flops and storage requirements in large radial basis function interpolation problems. The strategy is based on a change of basis to a basis of approximate cardinal functions. The GMRES iterative method for non-symmetric systems is used. Richly illustrated numerical examples are discussed. Possible applications in image wrapping, medical imaging, topography, bathymetry, hydrology, aeromagnetic survey, geophysics and geology, are mentioned.

MSC:
65D10 Numerical smoothing, curve fitting
65F10 Iterative numerical methods for linear systems
65F35 Numerical computation of matrix norms, conditioning, scaling
62P12 Applications of statistics to environmental and related topics
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