The application of Cayley--Bacharach theorem to bivariate Lagrange interpolation.

DOI10.1016/j.cam.2003.08.063zbMath1108.41002OpenAlexW2009134714MaRDI QIDQ1427234

Li-Hong Cui, Xue-Zhang Liang, Jie-Lin Zhang

Publication date: 14 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2003.08.063

zbMATH Keywords

Lagrange interpolationbivariate polynomialsalong plane algebraic curve

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (9)

A detection algorithm for the first jump time in sample trajectories of jump-diffusions driven byα-stable white noise ⋮ A generalized finite difference method using Coatmèlec lattices ⋮ A recursive method for computing interpolants ⋮ The properly posed set of nodes of multivariate Lagrange interpolation along algebraic manifold ⋮ Unisolvency for multivariate polynomial interpolation in Coatmèlec configurations of nodes ⋮ Some researches on multivariate Lagrange interpolation along the sufficiently intersected algebraic manifold ⋮ Some researches on trivariate Lagrange interpolation ⋮ A new algorithm for a recursive construction of the minimal interpolation space ⋮ Superposition interpolation process in \(\mathbb C^n\)

Cites Work

• Properly Posed Sets of Nodes for Multivariate Lagrange Interpolation in C^s
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