Scaling radial basis functions via Euclidean distance matrices

DOI10.1016/j.camwa.2006.04.011zbMath1219.41027OpenAlexW2035504715MaRDI QIDQ936690

Brad J. C. Baxter

Publication date: 19 August 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.04.011

zbMATH Keywords

radially symmetric function

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items

Some issues on interpolation matrices of locally scaled radial basis functions

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Conditionally positive functions and p-norm distance matrices
• The best Euclidean fit to a given distance matrix in prescribed dimensions
• Properties of Euclidean and non-Euclidean distance matrices
• Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Metric spaces and completely monontone functions
• Radial Basis Functions
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