Semi-infinite cardinal interpolation with multiquadrics and beyond

DOI10.1007/s10444-004-7612-5zbMath1101.65010OpenAlexW1966056218MaRDI QIDQ2491226

Martin D. Buhmann

Publication date: 29 May 2006

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-004-7612-5

zbMATH Keywords

interpolationmultivariate approximationradial basis functionsWiener-Hopf factorisation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (2)

Half-plane approximation with radial functions ⋮ Semi-cardinal polyspline interpolation with Beppo Levi boundary conditions

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Inversion of Toeplitz matrices
• Quasi-interpolation with translates of a function having noncompact support
• Multiply monotone functions for cardinal interpolation
• On quasi-interpolation with radial basis functions
• Multivariate interpolation in odd-dimensional euclidean spaces using multiquadrics
• Multivariate cardinal interpolation with radial-basis functions
• On the Cholesky Factorization of the Gram Matrix of Multivariate Functions
• On radial basis approximation on periodic grids
• Radial Basis Functions
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