Construction of lattices for Lagrange interpolation in projective space

DOI10.1007/BF01888158zbMath0733.41011MaRDI QIDQ809280

N. E. Zubov

Publication date: 1991

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

Lagrange interpolationinterpolating polynomialsde Casteljau-Neville-Aitken algorithmprojective k-space

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items

Interpolation lattices in several variables ⋮ Generalized principal lattices and cubic pencils ⋮ Newton-Cotes cubature rules over \((d+1)\)-pencil lattices ⋮ Geometric characterization and generalized principal lattices ⋮ Unisolvency for polynomial interpolation in simplices with symmetrical nodal distributions ⋮ Lattices on simplicial partitions ⋮ Interpolation and convergence of Bernstein-Bézier coefficients ⋮ Cubic pencils of lines and bivariate interpolation ⋮ Three-pencil lattices on triangulations ⋮ Barycentric coordinates for Lagrange interpolation over lattices on a simplex ⋮ Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas ⋮ Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas ⋮ Interpolation on lattices generated by cubic pencils ⋮ Lattices on simplicial partitions which are not simply connected ⋮ Generation of lattices of points for bivariate interpolation ⋮ Hermite interpolation by neural networks ⋮ On geometric Lagrange interpolation by quadratic parametric patches ⋮ Aitken-Neville sets, principal lattices and divided differences ⋮ Classification of sets satisfying the geometric characterization ⋮ Lattices on tetrahedral partitions ⋮ Multivariate Hermite interpolation by algebraic polynomials: A survey ⋮ Interpolation by ridge polynomials and its application in neural networks

Cites Work

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• Construction of basis functions in the finite element method