Chebyshev approximation by a rational expression for functions of many variables

DOI10.1007/s10559-020-00302-0zbMath1458.65017OpenAlexW3090420043MaRDI QIDQ2215861

Ya. V. Pizyur, P. S. Malachivskyy, R. P. Malachivsky

Publication date: 14 December 2020

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-020-00302-0

zbMATH Keywords

least squares methodmultivariate functionsmean-power approximationChebyshev approximation by rational expression

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Algorithms for approximation of functions (65D15)

Related Items (5)

Multivariate approximation by polynomial and generalized rational functions ⋮ Matrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations ⋮ Chebyshev approximation of multivariable functions by a constrained rational expression ⋮ Chebyshev approximation of multivariable functions by a logarithmic expression ⋮ A comparison study of numerical techniques for solving ordinary differential equations defined on a semi-infinite domain using rational Chebyshev functions

Uses Software

• Maple
• AAA

Cites Work

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• Chebyshev approximation of functions of several variables
• Uniform approximation of functions of two variables
• Best Chebyshev approximation of functions of one and many variables
• Rational Minimax Approximation via Adaptive Barycentric Representations
• The AAA Algorithm for Rational Approximation

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