GMRES and Weighted GMRES for solving nonsymmetric linear systems
(2016) In Bachelor's Theses in Mathematical Sciences NUMK01 20161Mathematics (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:
http://lup.lub.lu.se/student-papers/record/8894971
- author
- Kratz, Gustav LU
- supervisor
- organization
- course
- NUMK01 20161
- year
- 2016
- 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}}, language = {{eng}}, note = {{Student Paper}}, series = {{Bachelor's Theses in Mathematical Sciences}}, title = {{GMRES and Weighted GMRES for solving nonsymmetric linear systems}}, year = {{2016}}, }