A safeguard approach to detect stagnation of GMRES (m) with applications in Newton-Krylov methods
MA Gomes-Ruggiero, VLR Lopes… - … & Applied Mathematics, 2008 - SciELO Brasil
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 …
from stagnation. In this paper, a simple strategy is proposed to detect and avoid stagnation …
[图书][B] Some applications for Newton-Krylov methods with a safeguard for GMRES (m)
MA Gomes-Ruggiero, VL da Rocha Lopes… - 2006 - ime.unicamp.br
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 …
from stagnation. In this paper, a simple strategy is proposed to detect and avoid stagnation …
[PDF][PDF] An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors
Q Niu, LZ Lu - NUMERICAL MATHEMATICS-THEORY METHODS …, 2010 - global-sci.org
We discuss a variant of restarted GMRES method that allows changes of the restarting
vector at each cycle of iterations. The merit of the variant is that previously generated …
vector at each cycle of iterations. The merit of the variant is that previously generated …
[图书][B] A Modified Descent Direction for Newton-GMRES Method
MA Gomes-Ruggiero, VL da Rocha Lopes… - 2007 - ime.unicamp.br
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 …
In order to curb a possible increase in‖ F‖, typically occurring during the first few cycles …