A safeguard approach to detect stagnation of GMRES(m) with applications in Newton-Krylov methods

Restarting GMRES, a linear solver frequently used in numerical schemes, is known to suffer from stagnation. In this paper, a simple strategy is proposed to detect and avoid stagnation, without modifying the standard GMRES code. Numerical tests with the proposed modified GMRES(m) procedure for solving linear systems and also as part of an inexact Newton procedure, demonstrate the efficiency of this strategy.

Saved in:
Bibliographic Details
Main Authors: Gomes-Ruggiero,Márcia A., Lopes,Véra L. Rocha, Toledo-Benavides,Julia V.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2008
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022008000200004
Tags: Add Tag
No Tags, Be the first to tag this record!