Polynomial Interpolation in Several Variables: Lattices, Differences, and Ideals
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Publication:3075351
DOI10.1016/S1570-579X(06)80009-1zbMath1205.41004MaRDI QIDQ3075351
Publication date: 15 February 2011
Published in: Studies in Computational Mathematics (Search for Journal in Brave)
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)
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On Symbolic Computation of Ideal Projectors and Inverse Systems ⋮ Nonparametric estimation of a function from noiseless observations at random points ⋮ One Characterization of Lagrange Projectors ⋮ Sampling Algebraic Varieties for Sum of Squares Programs ⋮ On ideal extensions of ideal complements ⋮ Gaussian process regression in the flat limit ⋮ Simultaneous triangularization of commuting matrices for the solution of polynomial equations ⋮ A chain rule for multivariate divided differences ⋮ Superconvergent trivariate quadratic spline quasi-interpolants on Worsey-Piper split ⋮ Spectral Properties of Kernel Matrices in the Flat Limit ⋮ MultiDimensional Sparse Super-Resolution ⋮ On the continuity of multivariate Lagrange interpolation at natural lattices ⋮ A bivariate preprocessing paradigm for the Buchberger-Möller algorithm ⋮ Vanishing ideals over finite fields ⋮ The discrete approximation problem for a special case of Hermite-type polynomial interpolation
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