Add to ORKGIn this paper we propose two new strategies to determine the forcing terms that allow one to improve the efficiency and robustness of the inexact Newton method. The choices are based on the relationship between the inexact Newton method and the continuous analogy of Newton's method. With the new forcing terms, the inexact Newton method is locally \(Q\)-superlinearly and quadratically convergent. Numerical results are presented to support the effectiveness of the new forcing terms
We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newt...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...
AbstractInexact Newton method is one of the effective tools for solving systems of nonlinear equatio...
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step s...
The inexact Newton method is widely used to solve systems of non-linear equations. It is well-known ...
AbstractWe consider modifications of Newton's method for solving a nonlinear system F(x) = 0 where F...
Abstract. Inexact Newton methods for finding a zero of F 1 1 are variations of Newton’s method in wh...
Abstract. An inexactNewtonmethod is a generalization ofNewton’s method for solving F(x) 0, F n __ in...
. An inexact Newton method is a generalization of Newton's method for solving F (x) = 0, F : I...
This paper investigates inexact Newton methods for solving systems of nonsmooth equations. We define...
Inexact Newton methods for solving F (x) = 0, F: D ∈ IRn → IRn with F ∈ CI1(D), where D is an open ...
AbstractWe review the most important theoretical results on Newton's method concerning the convergen...
AbstractWe study the convergence properties for some inexact Newton-like methods including the inexa...
AbstractWe use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach...
We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newt...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...
AbstractInexact Newton method is one of the effective tools for solving systems of nonlinear equatio...
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step s...
The inexact Newton method is widely used to solve systems of non-linear equations. It is well-known ...
AbstractWe consider modifications of Newton's method for solving a nonlinear system F(x) = 0 where F...
Abstract. Inexact Newton methods for finding a zero of F 1 1 are variations of Newton’s method in wh...
Abstract. An inexactNewtonmethod is a generalization ofNewton’s method for solving F(x) 0, F n __ in...
. An inexact Newton method is a generalization of Newton's method for solving F (x) = 0, F : I...
This paper investigates inexact Newton methods for solving systems of nonsmooth equations. We define...
Inexact Newton methods for solving F (x) = 0, F: D ∈ IRn → IRn with F ∈ CI1(D), where D is an open ...
AbstractWe review the most important theoretical results on Newton's method concerning the convergen...
AbstractWe study the convergence properties for some inexact Newton-like methods including the inexa...
AbstractWe use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach...
We show that a new sufficient condition for the convergence with \(q\)-order two of the inexact Newt...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...
Finding roots of equations is at the heart of most computational science. A well-known and widely us...