Improved estimates for condition numbers of radial basis function interpolation matrices

DOI10.1016/j.jat.2017.10.004zbMath1407.41003OpenAlexW2761832341WikidataQ114164930 ScholiaQ114164930MaRDI QIDQ1711822

Armin Iske, Benedikt Diederichs

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.jat.2017.10.004

zbMATH Keywords

radial basis functionsmultivariate scattered data interpolationmatrix condition numbers

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (8)

Stable super-resolution limit and smallest singular value of restricted Fourier matrices ⋮ Deterministic error bounds for kernel-based learning techniques under bounded noise ⋮ Hierarchical Matrix Approximation for Kernel-Based Scattered Data Interpolation ⋮ On the evaluation of highly oscillatory integrals with high frequency ⋮ A Factorization Method for Multifrequency Inverse Source Problems with Sparse Far Field Measurements ⋮ Learning via variably scaled kernels ⋮ Numerical approximations for the Riesz space fractional advection-dispersion equations via radial basis functions ⋮ A Convex Approach to Superresolution and Regularization of Lines in Images

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On kernel engineering via Paley-Wiener
• Numerical experiments on the condition number of the interpolation matrices for radial basis functions
• Eigenvalues of euclidean distance matrices
• Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
• On the sensitivity of radial basis interpolation to minimal data separation distance
• Norm estimates for inverses of Toeplitz distance matrices
• Lower bounds for norms of inverses of interpolation matrices for radial basis functions
• On condition numbers associated with radial-function interpolation
• Error estimates and condition numbers for radial basis function interpolation
• Norms of inverses and condition numbers for matrices associated with scattered data
• Some extremal functions in Fourier analysis
• Radial Basis Functions
• MUSIC for Multidimensional Spectral Estimation: Stability and Super-Resolution
• Fourier Series in Control Theory
• Scattered Data Approximation

This page was built for publication: Improved estimates for condition numbers of radial basis function interpolation matrices