Stable monomial basis for multivariate Birkhoff interpolation problems

DOI10.1016/j.cam.2014.09.002zbMath1302.65040OpenAlexW1963535707MaRDI QIDQ464651

Kai Cui, Na Lei

Publication date: 28 October 2014

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.2014.09.002

zbMATH Keywords

Birkhoff interpolationnumerical algorithminterpolation polynomialempirical pointsadmissible perturbationstable monomial basis

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items

Minimum Sobolev norm interpolation of scattered derivative data

Uses Software

• StableBBasisNBM5

Cites Work

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• On Lagrange and Hermite interpolation in \(R^ k\).
• Multivariate Birkhoff interpolation
• Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
• From algebraic sets to monomial linear bases by means of combinatorial algorithms
• Gröbner bases of ideals defined by functionals with an application to ideals of projective points
• The proper interpolation space for multivariate Birkhoff interpolation
• Approximate varieties, approximate ideals and dimension reduction
• On Hermite-Birkhoff interpolation

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