Random sampling and polynomial-free interpolation by Generalized MultiQuadrics

DOI10.1016/j.jat.2024.106119MaRDI QIDQ6658097

Antonino M. Sommariva, Maurizio Stefano Vianello

Publication date: 8 January 2025

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

radial basis functionsmultivariate interpolationrandom samplingGeneralized MultiQuadricspolynomial-free unisolvence

Mathematics Subject Classification ID

Numerical interpolation (65D05) Harmonic analysis on Euclidean spaces (42-XX) Approximations and expansions (41-XX) Numerical radial basis function approximation (65D12)

Cites Work

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• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• On the matrix \([| x_ i-x_ j| ^ 3\) and the cubic spline continuity equations]
• Randomized weakly admissible meshes
• The zero set of a real analytic function
• Scattered Data Approximation
• Random sampling and unisolvent interpolation by almost everywhere analytic functions
• High Accuracy Quasi-Interpolation using a new class of generalized Multiquadrics
• A note on polynomial-free unisolvence of polyharmonic splines at random points
• Polynomial-free unisolvence of polyharmonic splines with odd exponent by random sampling

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