The equivalent representation of the breadth-one \(D\)-invariant polynomial subspace and its discretization

DOI10.1007/s11424-015-4277-8zbMath1390.13084OpenAlexW2465597515MaRDI QIDQ1691954

Xue Jiang, Shugong Zhang

Publication date: 25 January 2018

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-015-4277-8

zbMATH Keywords

\(D\)-invariant polynomial subspacediscrete approximation problemideal interpolationbreadth-one

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects and applications of commutative rings (13P99) Interpolation in approximation theory (41A05)

Related Items (1)

The discrete approximation problem for a special case of Hermite-type polynomial interpolation

Cites Work

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• Computing the multiplicity structure of an isolated singular solution: case of breadth one
• On a conjecture of Carl de Boor regarding the limits of Lagrange interpolants
• On the pointwise limits of bivariate Lagrange projectors
• On the limits of Lagrange projectors
• The discretization for a special class of ideal projectors
• On multivariate polynomial interpolation
• Multiple zeros of nonlinear systems
• Ideal Interpolation: Translations to and from Algebraic Geometry
• Computing the multiplicity structure in solving polynomial systems

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