Publication
Title
A robust implementation of the Carathéodory-Fejér method for rational approximation
Author
Abstract
Best rational approximations are notoriously difficult to compute. However, the difference between the best rational approximation to a function and its Carathéodory-Fejér (CF) approximation is often so small as to be negligible in practice, while CF approximations are far easier to compute. We present a robust and fast implementation of this method in the Chebfun software system and illustrate its use with several examples. Our implementation handles both polynomial and rational approximation and substantially improves upon earlier published software.
Language
English
Source (journal)
Bit : numerical mathematics. - Lund
Publication
Lund : 2011
ISSN
0006-3835
Volume/pages
51:4(2011), p. 1039-1050
ISI
000297362000013
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 04.02.2012
Last edited 23.06.2017
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