Eine Klasse von Verfahren zur Ermittlung bester nichtlinearer Tschebyscheff-Approximationen

DOI10.1007/BF01396341zbMath0333.65005OpenAlexW93780692MaRDI QIDQ1228324

Ludwig J. Cromme

Publication date: 1976

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132395

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Best approximation, Chebyshev systems (41A50)

Related Items (14)

Strongly unique spline approximations with free knots ⋮ Superlinear convergence of a trust region type successive linear programming method ⋮ Dual methods for nonlinear best approximation problems ⋮ Non-strong uniqueness in real and complex Chebyshev approximation ⋮ On the local continuity of the Chebyshev operator ⋮ Global convergence of quasi-Newton-type algorithms for some nonsmooth optimization problems ⋮ On the convergence of a class of nonlinear approximation methods ⋮ Numerische Methoden zur Behandlung einiger Problemklassen der nichtlinearen Tschebyscheff-Approximation mit Nebenbedingungen ⋮ Strong uniqueness: A far-reaching criterion for the convergence analysis of iterative procedures ⋮ Ein Approximationsproblem aus der Pharmakokinetik ⋮ The numerical solution of the inverse Stefan problem ⋮ Approximation in normed linear spaces ⋮ Convergence analysis of the general Gauss-Newton algorithm ⋮ A review of the parameter estimation problem of fitting positive exponential sums to empirical data

Cites Work

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• On the Remez algorithm for non-linear families
• Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation
• Uniform rational approximation of functions of several variables
• An Algorithm for Minimax Approximation in the Nonlinear Case
• Uniqueness and Differential Characterization of Approximations from Manifolds of Functions
• Nonlinear Approximation with Tangential Characterization

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