Random sampling and polynomial-free interpolation by Generalized MultiQuadrics
Numerical Analysis
2024-04-17 v1 Numerical Analysis
Abstract
We prove that interpolation matrices for Generalized MultiQuadrics (GMQ) of order greater than one are almost surely nonsingular without polynomial addition, in any dimension and with any continuous random distribution of sampling points. We also include a new class of generalized MultiQuadrics recently proposed by Buhmann and Ortmann.
Keywords
Cite
@article{arxiv.2404.10117,
title = {Random sampling and polynomial-free interpolation by Generalized MultiQuadrics},
author = {A. Sommariva and M. Vianello},
journal= {arXiv preprint arXiv:2404.10117},
year = {2024}
}