Enclosing all zeros of a system of analytic functions

DOI10.1016/j.amc.2018.08.041zbMath1429.65097OpenAlexW2906237118MaRDI QIDQ2008847

Yanyan Li

Publication date: 26 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.08.041

zbMATH Keywords

interval analysisargument principlerigorous numericsroot findingsystems of analytic functions

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Interval and finite arithmetic (65G30) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

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• Enclosing all zeros of an analytic function - a rigorous approach
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• On the central configurations of the planar restricted four-body problem
• Solving a Polynomial Equation: Some History and Recent Progress
• The Poincare-Miranda Theorem
• A Numerical Method for Locating the Zeros of an Analytic Function
• How to find all roots of complex polynomials by Newton's method.
• Locating all the zeros of an analytic function in one complex variable

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