A modification of the numerical integration error method for the zero-finding problem of an analytic function

DOI10.1007/BF03167489zbMath1083.65050OpenAlexW2007517988MaRDI QIDQ2583114

Toshio Suzuki, Tomohiro Suzuki

Publication date: 13 January 2006

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

Full work available at URL: https://doi.org/10.1007/bf03167489

zbMATH Keywords

algorithmnumerical examplenumerical examplesquadrature methodcomputational complexitieszero-finding method

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)

Cites Work

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• An error analysis of two related quadrature methods for computing zeros of analytic functions.
• Numerical integration error method for zeros of analytic functions
• Numerical integration error method--- a new method for polynomial root-finding.
• Computing the zeros of analytic functions
• ICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer ScienceICIAM/GAMM 95 Numerical Analysis, Scientific computing Computer Science
• 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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