Characterization and Computation of Rational Chebyshev Approximations in the Complex Plane

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1979 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Numerical Analysis, volume 16, pages 819-827 (issn: 0036-1429, eissn: 1095-7170,

Copyright policy )

Authors: Williams, Jack;

doi: 10.1137/0716061

Characterization and Computation of Rational Chebyshev Approximations in the Complex Plane

- Summary
- Subjects
- Metrics

Abstract

The paper is concerned with the characterization and computation of local best rational Chebyshev approximations to continuous complex-valued functions on subsets of the complex plane. Some numerical examples are presented.

Keywords

Best approximation, Chebyshev systems, General theory of numerical methods in complex analysis (potential theory, etc.), Algorithms for approximation of functions, local best rational Chebyshev approximations, computation of rational Chebyshev approximations in the complex plane

Impact byBIP!

	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).	11
	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.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average