Numerical integration error method for zeros of analytic functions

DOI10.1016/S0377-0427(02)00726-4zbMath1028.65050OpenAlexW2037993375MaRDI QIDQ1872972

Tomohiro Suzuki, Toshio Suzuki

Publication date: 19 May 2003

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(02)00726-4

zbMATH Keywords

convergencenumerical exampleiterative methodAnalytic functionZero of functions

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items

A new special function and its application in probability ⋮ A modification of the numerical integration error method for the zero-finding problem of an analytic function

Cites Work

• On the simultaneous determination of zeros of analytic or sectionally analytic functions
• Solution of equations involving analytic functions
• Higher-order iterative methods for approximating zeros of analytic functions
• On the simultaneous determination of the zeros of an analytic function inside a simple smooth closed contour in the complex plane
• Numerical integration error method--- a new method for polynomial root-finding.
• A globally convergent zero finding method.
• Computing the zeros of analytic functions
• A class of iterative methods for holomorphic functions
• Bifurcation Analysis of Periodic Solutions of Neural Functional Differential Equations: A Case Study
• A Numerical Method for Locating the Zeros of an Analytic Function
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