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Mathematics of Computation

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Linear Chebyshev approximation of complex-valued functions


Authors: I. Barrodale, L. M. Delves and J. C. Mason
Journal: Math. Comp. 32 (1978), 853-863
MSC: Primary 65D15; Secondary 41A50
DOI: https://doi.org/10.1090/S0025-5718-1978-0483298-X
MathSciNet review: 0483298
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Abstract: This paper is concerned with Chebyshev approximation by linear functions to complex-valued data. The problem is nonlinear, and we present a convergent algorithm for its solution. We also pose a related linear problem which is simple to solve, and which produces approximations which are near-best in the Chebyshev sense within a factor of $ \sqrt 2 $. Some numerical examples are provided.


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DOI: https://doi.org/10.1090/S0025-5718-1978-0483298-X
Article copyright: © Copyright 1978 American Mathematical Society