Positive Definite Multi-Kernels for Scattered Data Interpolations
Numerical Analysis
2021-11-08 v1 Numerical Analysis
Abstract
In this article, we use the knowledge of positive definite tensors to develop a concept of positive definite multi-kernels to construct the kernel-based interpolants of scattered data. By the techniques of reproducing kernel Banach spaces, the optimal recoveries and error analysis of the kernel-based interpolants are shown for a special class of strictly positive definite multi-kernels.
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Cite
@article{arxiv.2111.03490,
title = {Positive Definite Multi-Kernels for Scattered Data Interpolations},
author = {Qi Ye},
journal= {arXiv preprint arXiv:2111.03490},
year = {2021}
}
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13 pages