Title
An error analysis of two related quadrature methods for computing zeros of analytic functions An error analysis of two related quadrature methods for computing zeros of analytic functions
Author
Faculty/Department
Faculty of Social Sciences. Communication Sciences
Publication type
article
Publication
Antwerp ,
Subject
Mathematics
Computer. Automation
Source (journal)
Journal of computational and applied mathematics. - Antwerp
Volume/pages
152(2003) :1-2 , p. 467-480
ISSN
0377-0427
ISI
000181415800034
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
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.
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