A Modified Descent Direction for Newton-GMRES Method

Número: 
21
Ano: 
2007
Autor: 
Márcia A. Gomes-Ruggiero
Véra L. R. Lopes
Julia V. Toledo-Benavides
Abstract: 

We consider general Newton-Krylov methods with a line search for solving $F(x) = 0$. In order to curb a possible increase in $||F||$, typically occurring during the first few cycles, we propose a simple modification of the Newton direction which does not require a modified Krylov procedure.

Keywords: 
inexact Newton method
nonlinear systems
Krylov subspace methods
GMRES
backtracking
Mathematics Subject Classification 2000 (MSC 2000): 
65H10;
Observação: 
submitted 07/07
Arquivo: