. An inexact Newton method is a generalization of Newton's method for solving F (x) = 0, F : IR n ! IR n , in which, at the kth iteration, the step sk from the current approximate solution xk is required to satisfy a condition kF (xk) + F 0 (xk ) skk jkkF (xk )k for a "forcing term" jk 2 [0; 1). In typical applications, the choice of the forcing terms is critical to the efficiency of the method and can affect robustness as well. Promising choices of the forcing terms are given, their local convergence properties are analyzed, and their practical performance is shown on a representative set of test problems. Key words. forcing terms, inexact Newton methods, Newton iterative methods, truncated Newton methods, Newton&a...
AbstractThe present paper is concerned with the convergence problem of inexact Newton methods. Assum...
Neste trabalho, apresentamos um método de Newton inexato através da proposta de uma nova escolha par...
A nonlinear system of equations is said to be reducible if it can be divided into m blocks (m>1) in ...
Abstract. An inexactNewtonmethod is a generalization ofNewton’s method for solving F(x) 0, F n __ in...
AbstractInexact Newton method is one of the effective tools for solving systems of nonlinear equatio...
Inexact Newton methods for solving F (x) = 0, F: D ∈ IRn → IRn with F ∈ CI1(D), where D is an open ...
The inexact Newton method is widely used to solve systems of non-linear equations. It is well-known ...
AbstractWe use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach...
Abstract. Inexact Newton methods for finding a zero of F 1 1 are variations of Newton’s method in wh...
Abstract A solid understanding of convergence behaviour is essential to the design and analysis of i...
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step s...
In this paper we propose two new strategies to determine the forcing terms that allow one to improve...
Abstract. A classical model of Newton iterations which takes into account some error terms is given ...
this paper we describe the effects of an inexact implementation of Newton's method on the behav...
We consider a variant of inexact Newton Method, called Newton-MR, in which the least-squares sub-pro...
AbstractThe present paper is concerned with the convergence problem of inexact Newton methods. Assum...
Neste trabalho, apresentamos um método de Newton inexato através da proposta de uma nova escolha par...
A nonlinear system of equations is said to be reducible if it can be divided into m blocks (m>1) in ...
Abstract. An inexactNewtonmethod is a generalization ofNewton’s method for solving F(x) 0, F n __ in...
AbstractInexact Newton method is one of the effective tools for solving systems of nonlinear equatio...
Inexact Newton methods for solving F (x) = 0, F: D ∈ IRn → IRn with F ∈ CI1(D), where D is an open ...
The inexact Newton method is widely used to solve systems of non-linear equations. It is well-known ...
AbstractWe use inexact Newton iterates to approximate a solution of a nonlinear equation in a Banach...
Abstract. Inexact Newton methods for finding a zero of F 1 1 are variations of Newton’s method in wh...
Abstract A solid understanding of convergence behaviour is essential to the design and analysis of i...
In inexact Newton methods for solving nonlinear systems of equations, an approximation to the step s...
In this paper we propose two new strategies to determine the forcing terms that allow one to improve...
Abstract. A classical model of Newton iterations which takes into account some error terms is given ...
this paper we describe the effects of an inexact implementation of Newton's method on the behav...
We consider a variant of inexact Newton Method, called Newton-MR, in which the least-squares sub-pro...
AbstractThe present paper is concerned with the convergence problem of inexact Newton methods. Assum...
Neste trabalho, apresentamos um método de Newton inexato através da proposta de uma nova escolha par...
A nonlinear system of equations is said to be reducible if it can be divided into m blocks (m>1) in ...