Random sampling and polynomial-free interpolation by Generalized MultiQuadrics
<|reference_start|>Random sampling and polynomial-free interpolation by Generalized MultiQuadrics: 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.<|reference_end|>
@article{sommariva2024random,
    title={Random sampling and polynomial-free interpolation by Generalized
  MultiQuadrics},
    author={A. Sommariva and M. Vianello},
    journal={arXiv preprint arXiv:2404.10117},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.10117},
    primaryClass={math.NA cs.NA}
}