Computing zeros of analytic functions in the complex plane without using derivatives

DOI10.1016/j.cpc.2006.04.007zbMath1196.65092OpenAlexW2008993392MaRDI QIDQ710001

D. Kharzeev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2006.04.007

zbMATH Keywords

zerosHalley's methodanalytic functionscomputation of zeros

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (5)

Robust location of optical fiber modes via the argument principle method ⋮ CCOMP: an efficient algorithm for complex roots computation of determinantal equations ⋮ On the computation of hybrid modes in planar layered waveguides with multiple anisotropic conductive sheets ⋮ A frequency-independent and parallel algorithm for computing the zeros of strictly proper rational transfer functions ⋮ EZERO

Uses Software

• ZEAL

Cites Work

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• Numerical computation of polynomial zeros by means of Aberth's method
• Solution of equations involving analytic functions
• A derivative-free algorithm for computing zeros of analytic functions
• Error analysis of a derivative-free algorithm for computing zeros of holomorphic functions
• ZEAL: A mathematical software package for computing zeros of analytic functions
• The Newton and Halley Methods for Complex Roots
• Algebraic phase unwrapping and zero distribution of polynomial for continuous-time systems
• A Numerical Method for Locating the Zeros of an Analytic Function
• Locating all the zeros of an analytic function in one complex variable

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