A method to find all the roots of the system of nonlinear algebraic equations based on the Krawczyk operator

DOI10.1007/s10559-015-9775-0zbMath1331.65076OpenAlexW2338003745MaRDI QIDQ904440

V. Yu. Semenov

Publication date: 13 January 2016

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

Full work available at URL: https://doi.org/10.1007/s10559-015-9775-0

zbMATH Keywords

algorithmnumerical examplesystem of nonlinear equationsKrawczyk operatorinterval arithmeticlocalization of roots

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30)

Related Items (3)

Investigating the orthogonality conditions of wavelets based on Jacobi polynomials ⋮ A method for global minimization of functions using the Krawczyk operator ⋮ Method for localizing the zeros of analytic functions based on 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
• Rigorous global search: continuous problems
• Historical developments in convergence analysis for Newton's and Newton-like methods
• Box valued functions in solving systems of equations and inequalities
• Method for the calculation of all non-multiple zeros of an analytic function
• The Krawczyk operator and Kantorovich's theorem
• An algorithm of approximate solution of systems of nonlinear equations
• A Test for Existence of Solutions to Nonlinear Systems
• Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Systems
• Finding zeros by multilevel subdivision techniques
• Numerical methods for finding all real roots of systems of nonlinear equations
• The method of determining all real nonmultiple roots of systems of nonlinear equations
• Unnamed Item
• Unnamed Item

This page was built for publication: A method to find all the roots of the system of nonlinear algebraic equations based on the Krawczyk operator