Newton basis for multivariate Birkhoff interpolation

DOI10.1016/j.cam.2008.10.009zbMath1167.65006OpenAlexW2093159934MaRDI QIDQ1019818

Tian Dong, Shugong Zhang, Xiaoying Wang

Publication date: 28 May 2009

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.2008.10.009

zbMATH Keywords

algorithmslacunary interpolationNewton basisconnected closureconnected interpolationHermite systemmultivariate Birkhoff interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (6)

On the unique minimal monomial basis of Birkhoff interpolation problem ⋮ The proper interpolation space for multivariate Birkhoff interpolation ⋮ Stable monomial basis for multivariate Birkhoff interpolation problems ⋮ A fast algorithm for the multivariate Birkhoff interpolation problem ⋮ Minimum Sobolev norm interpolation of scattered derivative data ⋮ The discretization for bivariate ideal interpolation

Cites Work

• On Lagrange and Hermite interpolation in \(R^ k\).
• Multivariate Birkhoff interpolation
• On Birkhoff interpolation by polynomials in several variables
• On the history of multivariate polynomial interpolation
• Polynomial interpolation in several variables
• Gröbner bases of ideals defined by functionals with an application to ideals of projective points
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