The Carathéodory–Fejér Method for Real Rational Approximation
- 1 April 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 20 (2) , 420-436
- https://doi.org/10.1137/0720030
Abstract
A "Carath6odory-Fej6r method" is presented for near-best real rational approximation on intervals, based on the eigenvalue (or singular value) analysis of a Hankel matrix of Chebyshev coefficients. In approximation of a smooth function F, the CF approximant R cr frequently differs from the bestKeywords
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