Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
type: Item
instance of: scholarly article
title: Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
zbMATH Open document ID: 0940.65011
DOI: 10.1023/A:1018932227617
author: J. B. Cherrie
author: C. T. Mouat
author: R. K. Beatson
published in: Advances in Computational Mathematics
publication date: 2000-07-10T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F35
Mathematics Subject Classification ID: 62P12
zbMATH DE Number: 1407670
zbMATH Keywords: smoothing
zbMATH Keywords: curve fitting
zbMATH Keywords: matrix norms
zbMATH Keywords: scaling
zbMATH Keywords: preconditioning
zbMATH Keywords: radial basis function interpolation
zbMATH Keywords: cardinal functions
zbMATH Keywords: GMRES iterative method
zbMATH Keywords: numerical examples
zbMATH Keywords: image wrapping
zbMATH Keywords: medical imaging
zbMATH Keywords: tomography
zbMATH Keywords: bathymetry
zbMATH Keywords: hydrology
zbMATH Keywords: aeromagnetic survey
zbMATH Keywords: geophysics
zbMATH Keywords: geology
MaRDI profile type: Publication
full work available at URL: a:1018932227617
OpenAlex ID: W2598223504
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description: scientific article; zbMATH DE number 1407670