Numerical Chebyshev Approximation in the Complex Plane
- 1 December 1972
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 9 (4) , 638-649
- https://doi.org/10.1137/0709053
Abstract
The paper describes a numerical method for computing rational approximations of analytic functions on arbitrary simply-connected closed regions of the complex plane. The method is based on approximation on finite point sets and can be regarded as a generalization of the exchange algorithm for real rational approximation. Numerical examples show that for practical purposes, the approximations may be regarded as optimal in the sense of Chebyshev.Keywords
This publication has 1 reference indexed in Scilit:
- A Unified Approach to Certain Problems of Approximation and MinimizationJournal of the Society for Industrial and Applied Mathematics, 1961