A global convergent derivative-free method for solving a system of non-linear equations

DOI10.1007/s11075-016-0246-0zbMath1377.65059OpenAlexW2560010219MaRDI QIDQ2408152

Sascha Wörz, Heinz Bernhardt

Publication date: 10 October 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0246-0

zbMATH Keywords

system of nonlinear equationsderivative-free methodcalculation of zerosNewtons' method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Cites Work

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• A family of multi-point iterative methods for solving systems of nonlinear equations
• Newton-like iterative methods for solving system of non-linear equations
• The bisection method in higher dimensions
• Handbook of test problems in local and global optimization
• On using estimates of Lipschitz constants in global optimization
• Geometric constructions of iterative functions to solve nonlinear equations
• On the homotopy analysis method for nonlinear problems.
• A new continuation Newton-like method and its deformation
• A globalization procedure for solving nonlinear systems of equations
• Box valued functions in solving systems of equations and inequalities
• A modified Newton method with cubic convergence: the multivariate case
• Adomian's decomposition method applied to systems of nonlinear algebraic equations
• Estimation of the Lipschitz constant of a function
• A nonsmooth version of Newton's method
• Newton-homotopy analysis method for nonlinear equations
• Least-Change Secant Update Methods for Underdetermined Systems
• Local Convergence of Inexact Newton Methods
• Iterative solution of systems of nonlinear equations based upon quadratic approximations
• Solving systems of nonlinear equations using the nonzero value of the topological degree
• Inexact Newton Methods
• On the Convergence of Halley's Method
• Quasi-Newton Methods, Motivation and Theory
• On Newton-Iterative Methods for the Solution of Systems of Nonlinear Equations
• Globally Convergent Inexact Newton Methods
• A family of Chebyshev-Halley type methods in Banach spaces
• Solving Nonlinear Equations with Newton's Method
• A Potential Reduction Newton Method for Constrained Equations
• A Local Convergence Theory for Combined Inexact-Newton/Finite-Difference Projection Methods
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Quasi-Newton Methods and their Application to Function Minimisation
• A variant of Newton's method with accelerated third-order convergence
• A General Approach to Obtain Series Solutions of Nonlinear Differential Equations

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