Approximation with one (or few) parameters nonlinear

DOI10.1016/0377-0427(88)90393-7zbMath0638.65013OpenAlexW2069265285MaRDI QIDQ1099577

Charles B. Dunham

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0377-0427(88)90393-7

zbMATH Keywords

minimax approximationlinear discrete Remez algorithmnonlinear paramters

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Best approximation, Chebyshev systems (41A50) Algorithms for approximation of functions (65D15)

Related Items (5)

Solving \(N+m\) nonlinear equations with only m nonlinear variables ⋮ A cheap approximate solution to everett-type rational approximation problems ⋮ Solving nonlinear systems of equations with only one nonlinear variable ⋮ Chebyshev approximation of multivariable functions by the exponential expression ⋮ Approximation in normed linear spaces

Uses Software

• Algorithm 017

Cites Work

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• A Fortran program for discrete nonlinear Chebyshev approximation
• Chebyshev approximation by exponential-polynomial products
• Uniform approximation with rational functions having negative poles
• Chebyshev approximation by polynomials plus \(B\Phi(Cx)\)
• Chebyshev approximation by exponential-polynomial sums
• Discrete Chebyshev Approximation: Alternation and the Remez Algorithm
• Rate of Convergence of Discretization in Chebyshev Approximation
• Discrete Nonlinear Mean Approximation
• On Fitting Exponentials by Nonlinear Least Squares
• Computing Best lp Approximations by Functions Nonlinear in One Parameter

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