On the conditioning of interpolation by strictly conditionally positive definite functions on spheres

DOI10.1080/01630569808816862zbMath0922.41011OpenAlexW2034276814MaRDI QIDQ4221450

Zuhua Luo, Jeremy Levesley

Publication date: 3 January 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569808816862

zbMATH Keywords

interpolation on spherescondition number of matricesstrictly conditionally positive definite functions

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Multidimensional problems (41A63) Approximation by other special function classes (41A30)

Cites Work

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• Eigenvalues of euclidean distance matrices
• Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
• On the sensitivity of radial basis interpolation to minimal data separation distance
• Lower bounds for norms of inverses of interpolation matrices for radial basis functions
• Error estimates and condition numbers for radial basis function interpolation
• Norms of inverses and condition numbers for matrices associated with scattered data
• Positive definite functions on spheres
• Strictly positive definite functions on spheres in Euclidean spaces

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