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An Algorithm for Computing Continuous Chebyshev Approximations

1987
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Mathematics of Computation
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In this paper we introduce an algorithm for computing nonlinear continuous Chebyshev approximations. The algorithm is based on successive linearizations within adaptively adjusted neighborhoods. The convergence of the algorithm is proven under some general assumptions such that it is applicable for many Chebyshev approximation problems discussed in the literature. It, like the Remez exchange method, is purely continuous in the sense that it converges to a solution of a continuous Chebyshev

doi:10.2307/2007837
fatcat:zghs4pnytrgabeekdqru3irugy