Scattered data interpolation by linear combinations of translates of conditionally positive definite functions
Abstract
We study the problem of interpolating scattered data in Euclidean spaces by linear combinations of translates of conditionally positive definite functions. We show that certain symmetric linear combinations of these functions give rise to nonsingular interpolation matrices. We also estimate the norms of inverses of these matrices.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1080/01630569108816421
Keywords
Conditionally positive definite functions, Distributions, Fourier transform, Linear combinations, Scattered data interpolation
Publication Date
1-1-1991
Recommended Citation
Guo, Kanghui, and Xingping Sun. "Scattered data interpolation by linear combinations of translates of conditionally positive definite functions." Numerical functional analysis and optimization 12, no. 1-2 (1991): 137-152.
Journal Title
Numerical Functional Analysis and Optimization
