Ideal Interpolation: Translations to and from Algebraic Geometry

DOI10.1007/978-3-211-99314-9_6zbMath1191.13002OpenAlexW116121865MaRDI QIDQ3576575

Boris Shekhtman

Publication date: 30 July 2010

Published in: Texts and Monographs in Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-211-99314-9_6

Mathematics Subject Classification ID

Numerical interpolation (65D05) Approximation by other special function classes (41A30) Computational aspects in algebraic geometry (14Q99) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Computational aspects and applications of commutative rings (13Pxx)

Related Items (12)

FINITE SETS OF AFFINE POINTS WITH UNIQUE ASSOCIATED MONOMIAL ORDER QUOTIENT BASES ⋮ Error formulas for Lagrange projectors determined by Cartesian sets ⋮ The structure of a second-degree \(D\)-invariant subspace and its application in ideal interpolation ⋮ Flat extension and ideal projection ⋮ An algorithm for the discretization of an ideal projector ⋮ The equivalent representation of the breadth-one \(D\)-invariant polynomial subspace and its discretization ⋮ The discretization for a special class of ideal projectors ⋮ Examples of \(k\)-regular maps and interpolation spaces ⋮ On non-existence of certain error formulas for ideal interpolation ⋮ On the existence of certain error formulas for a special class of ideal projectors ⋮ Conjugacy classes of commuting nilpotents ⋮ The discrete approximation problem for a special case of Hermite-type polynomial interpolation

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