The Effect of Symmetric Permutations on the Convergence of a Restarted GMRES Solver with ILU-Type Preconditioners

2019 ◽  
Author(s):  
Sanderson L. Gonzaga de Oliveira ◽  
Claudio Carvalho ◽  
Carla Osthoff
Keyword(s):  
Restarted Gmres

scholarly journals Restarted GMRES preconditioned by deflation

1996 ◽  
Vol 69 (2) ◽  
pp. 303-318 ◽  
Author(s):  
Jocelyne Erhel ◽  
Kevin Burrage ◽  
Bert Pohl
Keyword(s):  
Restarted Gmres

scholarly journals How residual bounds for restarted GMRES describe the real behaviour

PAMM ◽  
2008 ◽  
Vol 8 (1) ◽  
pp. 10837-10838
Author(s):  
Jan Zítko
Keyword(s):  
The Real ◽  
Restarted Gmres

scholarly journals Restarted GMRES with Inexact Matrix–Vector Products

2005 ◽  
pp. 494-502 ◽  
Author(s):  
Gerard L. G. Sleijpen ◽  
Jasper van den Eshof ◽  
Martin B. van Gijzen
Keyword(s):  
Restarted Gmres ◽  
Matrix Vector

Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics

2012 ◽  
Vol 34 (2) ◽  
pp. A714-A736 ◽  
Author(s):  
Henri Calandra ◽  
Serge Gratton ◽  
Julien Langou ◽  
Xavier Pinel ◽  
Xavier Vasseur
Keyword(s):  
Restarted Gmres

scholarly journals A Polynomial Preconditioner for the CMRH Algorithm

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Jiangzhou Lai ◽  
Linzhang Lu ◽  
Shiji Xu
Keyword(s):  
Linear Systems ◽  
Numerical Experiments ◽  
Sparse Linear Systems ◽  
Restarted Gmres ◽  
Polynomial Preconditioner

Many large and sparse linear systems can be solved efficiently by restarted GMRES and CMRH methods Sadok 1999. The CMRH(m) method is less expensive and requires slightly less storage than GMRES(m). But like GMRES, the restarted CMRH method may not converge. In order to remedy this defect, this paper presents a polynomial preconditioner for CMRH-based algorithm. Numerical experiments are given to show that the polynomial preconditioner is quite simple and easily constructed and the preconditioned CMRH(m) with the polynomial preconditioner has better performance than CMRH(m).

Restarted GMRES for Shifted Linear Systems

1998 ◽  
Vol 19 (1) ◽  
pp. 15-26 ◽  
Author(s):  
Andreas Frommer ◽  
Uwe Glässner
Keyword(s):  
Linear Systems ◽  
Restarted Gmres ◽  
Shifted Linear Systems
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