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

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Abstract

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. © 2002 Elsevier Science B.V. All rights reserved.

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Dellnitz, M., Schütze, O., & Zheng, Q. (2002). Locating all the zeros of an analytic function in one complex variable. Journal of Computational and Applied Mathematics, 138(2), 325–333. https://doi.org/10.1016/S0377-0427(01)00371-5

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