Algorithms for rational Chebyshev approximation

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1971

Authors

Lee, Chee-Mou

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Abstract

A common problem in numerical analysis is to obtain a convenient approximation to a prescribed function. Rational approximating functions are frequently selected for this purpose. This thesis is a survey of several methods that have been proposed for obtaining best rational Chebyshev approximations to functions defined on finite point sets. Most of the methods formulate the problem as a mathematical programming problem. Numerical examples are given to compare the efficiency of the methods.

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