Increasing the efficiency of Chebyshev segment fractional rational approximation

DOI10.1007/s10559-017-9978-7zbMath1381.41028OpenAlexW2758156819MaRDI QIDQ681730

E. S. Vakal, A. A. Kalenchuk-Porkhanova, Lara P. Vakal

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1007/s10559-017-9978-7

zbMATH Keywords

differential evolution algorithmChebyshev segment approximationmultidimensional nonlinear optimization problemoptimal noderational fractions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20)

Related Items (1)

Algorithm for the best uniform spline approximation with free knots

Cites Work

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• An algorithm for segment approximation
• Optimal segmented approximations
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• A Newton-type method for computing best segment approximations
• Uniform piecewise polynomial approximation with variable joints
• Characteristic properties of the segmented rational minmax approximation problem
• Best Chebyshev approximation of functions of one and many variables
• Algorithms for Piecewise Polynomials and Splines with Free Knots

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