Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas

DOI10.1007/BF02142381zbMath0747.65006OpenAlexW2048050868MaRDI QIDQ1186626

Mariano Gasca, Günter W. Mühlbach

Publication date: 28 June 1992

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02142381

zbMATH Keywords

multivariate interpolationprojectivitiesLagrange interpolation formulaNewton polynomialsmultivariate divided differencesNewton interpolation formula

Mathematics Subject Classification ID

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

Related Items (5)

Multivariate polynomial interpolation under projectivities. III: Remainder formulas ⋮ The work of Mariano Gasca ⋮ Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas ⋮ A recursive algorithm for Hermite interpolation over a triangular grid ⋮ Multivariate Hermite interpolation by algebraic polynomials: A survey

Cites Work

• Unnamed Item
• Construction of lattices for Lagrange interpolation in projective space
• On multivariate interpolation by generalized polynomials on subsets of grids
• Remarks on Newton type multivariate interpolation for subsets of grids
• On Lagrange and Hermite interpolation in \(R^ k\).
• Interpolation in Several Variables
• Polynomial interpolation at points of a geometric mesh on a triangle
• On Lattices Admitting Unique Lagrange Interpolations
• On a Class of Finite Elements Generated by Lagrange Interpolation

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