Title: An error analysis of two related quadrature methods for computing zeros of analytic functions
Authors: Sakurai, T ×
Kravanja, Peter
Sugiura, H
Van Barel, Marc #
Issue Date: Mar-2003
Publisher: Elsevier science bv
Series Title: Journal of computational and applied mathematics vol:152 issue:1-2 pages:467-480
Abstract: We present an error analysis for two related quadrature methods (the Delves-Lyness method and its modification 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 Delves-Lyness method, the quadrature error that arises from the zeros located inside the unit circle does not affect the results of the approach of Kravanja et al. Numerical experiments illustrate our main results. (C) 2002 Elsevier Science B.V. All rights reserved.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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