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GMRES and Weighted GMRES for solving nonsymmetric linear systems

Kratz, Gustav LU (2016) In Bachelor's Theses in Mathematical Sciences NUMK01 20161
Mathematics (Faculty of Engineering)
Abstract
The Implementation and some mathematical properties of GMRES and weighted
GMRES (WGMRES) are described. Numerical experiments originally performed
by Essai (1998) are performed to compare the two methods. GMRES
and WGMRES are used to solve a linear system arising from the Poisson
equation and compared with respect to computational effort.
Popular Abstract
The Implementation and some mathematical properties of GMRES and weighted
GMRES (WGMRES) are described. Numerical experiments originally performed
by Essai (1998) are performed to compare the two methods. GMRES
and WGMRES are used to solve a linear system arising from the Poisson
equation and compared with respect to computational effort.
Please use this url to cite or link to this publication:
author
Kratz, Gustav LU
supervisor
organization
course
NUMK01 20161
year
type
M2 - Bachelor Degree
subject
keywords
Nonsymmetric linear systems, Krylov subspaces, Iterative methods, Arnoldi, GMRES
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFNA-4012-2016
ISSN
1654-6229
other publication id
2016:K16
language
English
id
8894971
date added to LUP
2016-11-16 10:29:34
date last changed
2016-11-16 10:29:34
@misc{8894971,
  abstract     = {The Implementation and some mathematical properties of GMRES and weighted
GMRES (WGMRES) are described. Numerical experiments originally performed
by Essai (1998) are performed to compare the two methods. GMRES
and WGMRES are used to solve a linear system arising from the Poisson
equation and compared with respect to computational effort.},
  author       = {Kratz, Gustav},
  issn         = {1654-6229},
  keyword      = {Nonsymmetric linear systems,Krylov subspaces,Iterative methods,Arnoldi,GMRES},
  language     = {eng},
  note         = {Student Paper},
  series       = {Bachelor's Theses in Mathematical Sciences},
  title        = {GMRES and Weighted GMRES for solving nonsymmetric linear systems},
  year         = {2016},
}