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Newton’s Method

2016
In this chapter we study the convergence of Newton’s method for nonlinear equations and nonlinear inclusions in a Banach space. Nonlinear mappings, which appear in the right-hand side of the equations, are not necessarily differentiable. Our goal is to obtain an approximate solution in the presence of computational errors.
openaire   +1 more source

Choosing the Forcing Terms in an Inexact Newton Method

SIAM Journal of Scientific Computing, 1996
Stanley C Eisenstat, Homer F Walker
exaly  

A Nonmonotone Line Search Technique for Newton’s Method

SIAM Journal on Numerical Analysis, 1986
L Grippo   +2 more
exaly  

On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids

IEEE Transactions on Power Systems, 2018
Alejandro Garces
exaly  

Weaker conditions for the convergence of Newton’s method

Journal of Complexity, 2012
Ioannis K Argyros, Said Hilout
exaly  

Variants of Newton’s Method using fifth-order quadrature formulas

Applied Mathematics and Computation, 2007
Alicia Cordero, Juan R Torregrosa
exaly  

Gauss–Newton Method: Least Squares, Relation to Newton’s Method

2001
William R. Esposito   +1 more
openaire   +1 more source

A simple modification of Newton’s method to achieve convergence of order 1+2

Applied Mathematics Letters, 2014
Trevor J Mcdougall, Simon Wotherspoon
exaly  

Two-Level Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics

Journal of Scientific Computing, 2014
Yinnian He, Dong Xiaojing, He Yinnian
exaly  

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