Publication
Title
An error analysis of two related quadrature methods for computing zeros of analytic functions
Author
Abstract
We present an error analysis for two related quadrature methods (the DelvesLyness method and its modi:- cation by Kravanja, Sakurai and Van Barel) for computing all the zeros of an analytic function that lie inside the unit circle. We consider the forward as well as the backward approximation error in case the integrals are computed via the trapezoidal rule on the unit circle. Contrary to the DelvesLyness method, the quadrature error that arises from the zeros located inside the unit circle does not a=ect the results of the approach of Kravanja et al. Numerical experiments illustrate our main results.
Language
English
Source (journal)
Journal of computational and applied mathematics. - Antwerp
Publication
Antwerp : 2003
ISSN
0377-0427
Volume/pages
152:1-2(2003), p. 467-480
ISI
000181415800034
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Project info
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.04.2012
Last edited 06.12.2017