On the simultaneous determination of zeros of analytic or sectionally analytic functions

DOI10.1007/BF02240070zbMath0582.65035MaRDI QIDQ1068517

E. G. Anastasselou, Nikolaos I. Ioakimidis

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical exampleszerospolynomialsRiemann-Hilbert boundary value problemsimultaneous iterative methodssingle-step methodsectionally analytic functions

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)

Related Items (13)

Numerical integration error method for zeros of analytic functions ⋮ Family of simultaneous methods of Hansen--Patrick's type ⋮ On the simultaneous determination of the zeros of an analytic function inside a simple smooth closed contour in the complex plane ⋮ On a modification of the Koenig theorem ⋮ The simultaneous determination of all zeros of a polynomial ⋮ Tchebychef-like method for the simultaneous finding zeros of analytic functions ⋮ New simultaneous root-finding methods with accelerated convergence for analytic functions ⋮ All the trinomial roots, their powers and logarithms from the Lambert series, Bell polynomials and Fox-Wright function: illustration for genome multiplicity in survival of irradiated cells ⋮ Higher-order iterative methods for approximating zeros of analytic functions ⋮ A class of simultaneous methods for the zeros of analytic functions ⋮ Generalized Ostrowski root-finding method ⋮ An efficient higher order family of root finders ⋮ A higher order family for the simultaneous inclusion of multiple zeros of polynomials

Cites Work

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• On the convergence order of a modified method for simultaneous finding polynomial zeros
• On Locating All Zeros of an Analytic Function within a Bounded Domain by a Revised Delves/Lyness Method
• A generalization of the Siewert–Burniston method for the determination of zeros of analytic functions
• A Numerical Method for Locating the Zeros of an Analytic Function
• On Numerical Contour Integration Round a Closed Contour
• Numerical Evaluation of Integrals Around Simple Closed Curves

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