Method for the calculation of all zeros of an analytic function based on the Kantorovich theorem

DOI10.1515/CMAM-2014-0011zbMath1297.65055OpenAlexW2015916619MaRDI QIDQ400754

V. Yu. Semenov

Publication date: 25 August 2014

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2014-0011

zbMATH Keywords

algorithmnumerical examplesanalytic functionnonlinear equationTaylor's expansioncomplex rootsKantorovich theoremlocalization of roots

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 (2)

A method to find all the roots of the system of nonlinear algebraic equations based on the Krawczyk operator ⋮ Method for localizing the zeros of analytic functions based on the Krawczyk operator

This page was built for publication: Method for the calculation of all zeros of an analytic function based on the Kantorovich theorem