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Adaptively preconditioned GMRES method
Precoditioning of restarted GMRES method is studied using the construction of an invariant subspace of the matrix of the system.
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Analysis of convergence of a restarted GMRES method augmented with eigenvectors
The restarted and augmented GMRES method is studied. The sufficient conditions for the convergence are given.
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Behaviour of the augmented GMRES method
The restarted and augmented GMRES method is considered. Harmonic Ritz vectors are added to the Krylov subspace. Estimates for residual norm and sufficient condition for convergence are presented. Numerical results demonstrate that t...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Improving the convergence of restarted GMRES method
Some modifications of GMRES method for solving a system of linear algebraic system are considered. These modificatiohs remove stagnation and accelerate the convergence....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Some remarks on the restarted and augmented GMRES method
Starting from the residual estimates for GMRES, we present more general estimates which hold also for restarted and augmented GMRES. Sufficient conditions for convergence are formulated independently of the choice of an initial appr...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Convergence condition for a restarted GMRES method augmented with invariant subspace
The restarted and augmented GMRES method is investigated. The behaviour of the norm of the residual vector is described. The sufficient conditions for convergence are formulated....
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
An Application of the Shermann-Morrison Formula to the GMRES Method
In this paper we present a technique to improve the restarted generalized minimal residual method (GMRES) through changing the original system of linear minimal residual method (GMRES) through changing the original...
BA - Obecná matematika
- 2004 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Convergence condition for a restarted GMRES method augmented with eigenspaces
The behaviour of residual bounds is described for various situations which can arise during the restarted GMRES process augmented with eigenspaces. Sufficient conditions for convergence are formulated....
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On GMRES for singular EP and GP systems
minimal residual (GMRES) method for solving singular linear systems. It is known that GMRES determines a least squares solution without breakdown if the coefficient. We also compare GMRES with the range restricted...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Properties of Worst-Case GMRES
In the convergence analysis of the GMRES method for a given matrix A, one the worst-case GMRES residual norm for A and k. We show that the worst case behavior of GMRES for the matrices A and A transposed is the sam...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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