Random sampling and polynomial-free interpolation by Generalized MultiQuadrics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914756397367296 |
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| author | Sommariva, A. Vianello, M. |
| author_facet | Sommariva, A. Vianello, M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10117 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random sampling and polynomial-free interpolation by Generalized MultiQuadrics Sommariva, A. Vianello, M. Numerical Analysis 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. |
| title | Random sampling and polynomial-free interpolation by Generalized MultiQuadrics |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.10117 |