Method for localizing the zeros of analytic functions based on the Krawczyk operator

DOI10.1007/s10559-019-00159-yOpenAlexW2944879113WikidataQ127827334 ScholiaQ127827334MaRDI QIDQ2320247

V. Yu. Semenov, Evgeniya V. Semenova

Publication date: 22 August 2019

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-019-00159-y

zbMATH Keywords

analytic functionKrawczyk operatornonlinear equationTaylor expansionroot localization

Mathematics Subject Classification ID

Real functions (26-XX) Numerical analysis (65-XX)

Related Items (1)

A method for global minimization of functions using the Krawczyk operator

Uses Software

• INTOPT_90

Cites Work

• Method for the calculation of all zeros of an analytic function based on the Kantorovich theorem
• A method to find all the roots of the system of nonlinear algebraic equations based on the Krawczyk operator
• Rigorous global search: continuous problems
• Method for the calculation of all non-multiple zeros of an analytic function
• The Krawczyk operator and Kantorovich's theorem
• A Test for Existence of Solutions to Nonlinear Systems

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