On the unique minimal monomial basis of Birkhoff interpolation problem

DOI10.1007/s11424-015-4138-5zbMath1354.65022OpenAlexW2401838516MaRDI QIDQ328235

Na Lei, Xiaopeng Zheng, Junjie Chai, Mengci Song

Publication date: 20 October 2016

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

Full work available at URL: https://doi.org/10.1007/s11424-015-4138-5

zbMATH Keywords

algorithmBirkhoff interpolationcomputational examplesB-Lex methodlex game algorithmminimal monomial basisunique minimal monomial basis

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

Related Items (1)

Error formulas for Lagrange projectors determined by Cartesian sets

Cites Work

• A fast algorithm for the multivariate Birkhoff interpolation problem
• On the solvability of bivariate Hermite-Birkhoff interpolation problems
• Order regularity of two-node Birkhoff interpolation with lacunary polynomials
• Newton basis for multivariate Birkhoff interpolation
• On some open problems of approximation theory
• Multivariate Birkhoff interpolation
• Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
• Multivariate Hermite interpolation by algebraic polynomials: A survey
• From algebraic sets to monomial linear bases by means of combinatorial algorithms
• The proper interpolation space for multivariate Birkhoff interpolation
• The lex game and some applications
• FINITE SETS OF AFFINE POINTS WITH UNIQUE ASSOCIATED MONOMIAL ORDER QUOTIENT BASES
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