4.7 Article

Locating all the zeros of an analytic function in one complex variable

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 138, Issue 2, Pages 325-333

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-0427(01)00371-5

Keywords

global zero finding; argument principle

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Based on the argument principle, we propose an adaptive multilevel subdivision algorithm for the computation of all the zeros of an analytic function f : C --> C within a bounded domain. We illustrate the reliability of this method by several numerical examples. (C) 2002 Elsevier Science B.V. All rights reserved.

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