Results 111 to 120 of about 3,479 (214)

A modular framework for the backward error analysis of GMRES

open access: yes
International audienceThe Generalized Minimal Residual methods (GMRES) for the solution of general square linear systems is a class of Krylov-based iterative solvers for which there exist backward error analyses that guarantee the computed solution in ...
Mary, Theo   +3 more
core   +2 more sources

GMRESR: A family of nested GMRES methods

open access: yes, 1991
Recently Eirola and Nevanlinna have proposed an iterative solution method for unsymmetric linear systems, in which the preconditioner is updated from step to step.
Kees Vuik   +3 more
core  

Adaptive control strategy for restarting GMRES [PDF]

open access: yes, 2019
El recurso de información es un resumen de la tesis de doctorado, cuya versión completa se encuentra embargada debido a que los resultados fueron sometidos a evaluación para la publicación en revistas científicas.El Residuo Mínimo Generalizado con ...
Cabral Figueredo, Juan Carlos
core  

Numerical Stability Of GMRES

open access: yes, 1995
. The Generalized Minimal Residual Method (GMRES) is one of the significant methods for solving linear algebraic systems with nonsymmetric matrices. It minimizes the norm of the residual on the linear variety determined by the initial residual and the ...
J. Drko Sov A   +5 more
core  

On the numerical stability of sketched GMRES

open access: yesCoRR
23 pages, 6 ...
Liam Burke 0003, Erin Carson, Yuxin Ma
openaire   +2 more sources

An augmented IIM-level set method for Stokes equations with discontinuous viscosity

open access: yesElectronic Journal of Differential Equations, 2007
A finite difference method is proposed for incompressible Stokes equations with discontinuous viscosity. The method combines the augmented immersed interface method with a level set representation of the interface on a uniform Cartesian grid.
Zhilin Li, Sharon R. Lubkin, Xiaohai Wan
doaj  

A New Adaptive GMRES Algorithm for Achieving High Accuracy

open access: yes, 1996
GMRES(k) is widely used for solving nonsymmetric linear systems. However, it is inadequate either when it converges only for k close to the problem size or when numerical error in the modified Gram-Schmidt process used in the GMRES orthogonalization ...
Watson, Layne T   +2 more
core   +1 more source

A fast implementation for GMRES method

open access: yes, 2003
For the popular iterative method GMRES, we present a new and simple implementation which has the property of not using Givens rotations. This implementation does not modify the Arnoldi process and has an advantage in both the computational effort and the
Ayachour, E.H.
core   +1 more source

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