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

DOI10.1016/S0377-0427(01)00371-5zbMath0993.65057OpenAlexW2017708893WikidataQ126635037 ScholiaQ126635037MaRDI QIDQ5957935

Oliver Schütze, Michael Dellnitz, Qing Hua Zheng

Publication date: 13 March 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00371-5

zbMATH Keywords

numerical examplesanalytic functionadaptive multilevel subdivision algorithmargument principleglobal zero finding

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

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Cites Work

• A reliable argument principle algorithm to find the number of zeros of an analytic function in a bounded domain
• A simple reliable solver for all the roots of a nonlinear function in a given domain
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