On the solvability of bivariate Hermite-Birkhoff interpolation problems

DOI10.1016/0377-0427(90)90418-YzbMath0715.41007MaRDI QIDQ752349

Mariano Gasca, José-Javier Martıńez

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Chebyshev systemsbivariate polynomial Hermite-Birkhoff interpolationextended complete Tchebycheff systemsinterpolation with tensor- functionals

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (10)

On the unique minimal monomial basis of Birkhoff interpolation problem ⋮ The work of Mariano Gasca ⋮ Accurate polynomial interpolation by using the Bernstein basis ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ The proper interpolation space for multivariate Birkhoff interpolation ⋮ A fast algorithm for the multivariate Birkhoff interpolation problem ⋮ Accurate solutions of structured generalized Kronecker product linear systems ⋮ A recursive algorithm for Hermite interpolation over a triangular grid ⋮ Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression ⋮ A generalized Kronecker product and linear systems

Cites Work

• On bivariate Birkhoff interpolation
• On multivariate interpolation by generalized polynomials on subsets of grids
• On the computation of determinants arising in some bivariate rational interpolation problems
• Computation of rational interpolants with prescribed poles
• Kronecker Product Extensions of Linear Operators
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