Aitken-Neville sets, principal lattices and divided differences

DOI10.1016/j.jat.2008.04.019zbMath1162.65003OpenAlexW2133957845MaRDI QIDQ1008714

Mariano Gasca, J. M. Carnicer, Thomas Sauer

Publication date: 30 March 2009

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2008.04.019

zbMATH Keywords

divided differencepolynomial interpolationmultivariatespline representationprincipal latticeAitken-Neville configurationAitken-Neville setiterated linear interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (4)

Observations on interpolation by total degree polynomials in two variables ⋮ Leibniz rules for multivariate divided differences ⋮ On the continuity of multivariate Lagrange interpolation at natural lattices ⋮ Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices

Cites Work

• Construction of lattices for Lagrange interpolation in projective space
• Interpolation lattices in several variables
• The general Neville-Aitken-algorithm and some applications
• Generation of lattices of points for bivariate interpolation
• Interpolation and approximation by polynomials
• Polynomial interpolation in several variables
• Interpolation on lattices generated by cubic pencils
• Multivariate Divided Differences with Simple Knots
• On Lattices Admitting Unique Lagrange Interpolations
• On Interpolation by Iteration of Proportional Parts, without the Use of Differences
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