Accurate polynomial interpolation by using the Bernstein basis

DOI10.1007/s11075-016-0215-7zbMath1375.65015OpenAlexW2528855576MaRDI QIDQ2407866

Ana Marco, Raquel Viaña, José-Javier Martıńez

Publication date: 6 October 2017

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

Full work available at URL: https://doi.org/10.1007/s11075-016-0215-7

zbMATH Keywords

algorithmnumerical experimenttotally positive matrixpolynomial interpolationBernstein-Vandermonde matrixbivariatePadua pointsgeneralized Kronecker product

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (4)

On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation ⋮ Accurate solutions of structured generalized Kronecker product linear systems ⋮ Structured Inversion of the Bernstein--Vandermonde Matrix ⋮ Least squares problems involving generalized Kronecker products and application to bivariate polynomial regression

Uses Software

• Padua2DM
• Padua2D
• POLYNOMIAL
• TNTool

Cites Work

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• A Graduate Introduction to Numerical Methods
• Accurate computations with totally positive Bernstein-Vandermonde matrices
• Linear Algebra
• Polynomial least squares fitting in the Bernstein basis

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