An adaptive differential correction algorithm

DOI10.1016/0021-9045(83)90046-1zbMath0512.41015OpenAlexW2086591448MaRDI QIDQ1839375

Edwin H. jun. Kaufman, G. D. (Jerry) Taylor, Stephen F. McCormick

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90046-1

zbMATH Keywords

numerical examplealternating theorycombined first Remes-differential correction algorithmuniform generalized rational approximation, restricted range conditions

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Multidimensional problems (41A63) Approximation with constraints (41A29) Algorithms for approximation of functions (65D15)

Related Items (4)

Infinite-interval nonlinear approximations ⋮ On the optimum approximation of real rational functions via linear programming ⋮ Approximation on \([0,\infty)\) by reciprocals of polynomials with nonnegative coefficients ⋮ Uniform rational approximation on large data sets

Cites Work

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• On rational Chebyshev approximation
• A combined Remes-differential correction algorithm for rational approximation: Experimental results
• Uniform approximation by rational functions having restricted denominators
• Uniform rational approximation by differential correction and remes‐differential correlation
• A Multiple Exchange Algorithm for Multivariate Chebyshev Approximation
• Uniform rational approximation of functions of several variables
• A Combined Remes-Differential Correction Algorithm for Rational Approximation
• The Differential Correction Algorithm for Rational $\ell _\infty $-Approximation
• The Calculation of Best Restricted Approximations
• A Comparison of Algorithms for Rational l ∞ Approximation

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