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SIAM Journal on Numerical Analysis
Article . 1976 . Peer-reviewed
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https://dx.doi.org/10.1137/071...
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Rational Chebyshev Approximation in the Complex Plane

Rational Chebyshev approximation in the complex plane
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 13, pages 310-323 (issn: 0036-1429, eissn: 1095-7170, Copyright policy )
Authors: Ellacott, S.; Williams, Jack;

doi: 10.1137/0713028

Rational Chebyshev Approximation in the Complex Plane

Abstract

We discuss the characterization and computation of best rational Chebyshev approximations to complex-valued functions on subsets of the complex plane. A descent algorithm is presented (which includes a device for controlling the position of poles of the approximating rationale) for computing local best approximations. Several illustrative numerical examples are also presented.

Keywords

Best approximation, Chebyshev systems, Approximation by rational functions, Numerical smoothing, curve fitting

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
32
Average
Top 10%
Top 10%
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