Geodesic
Error analysis and computational aspects of SR factorization via optimal symplectic householder transformations
Electronic transactions on numerical analysis, Tome 33 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Symplectic QR like methods for solving some structured eigenvalue problems involves SR factorization as a key step. The optimal symplectic Householder SR factorization (SROSH algorithm) is a suitable choice for performing such a factorization. In this paper, we carry out a detailed error analysis of the SROSH algorithm.
Classification : 65F15, 65F50
Keywords: skew-symmetric inner product, optimal symplectic householder transformations, SR factorization, error analysis, backward and forward errors, implementation, factored form, WY factorization, complexity 
@article{ETNA_2009__33__a1,
     author = {Salam, A. and Al-Aidarous, E.},
     title = {Error analysis and computational aspects of {SR} factorization via optimal symplectic householder transformations},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {33},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__33__a1/}
}
TY  - JOUR
AU  - Salam, A.
AU  - Al-Aidarous, E.
TI  - Error analysis and computational aspects of SR factorization via optimal symplectic householder transformations
JO  - Electronic transactions on numerical analysis
PY  - 2009
VL  - 33
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ETNA_2009__33__a1/
LA  - en
ID  - ETNA_2009__33__a1
ER  - 
%0 Journal Article
%A Salam, A.
%A Al-Aidarous, E.
%T Error analysis and computational aspects of SR factorization via optimal symplectic householder transformations
%J Electronic transactions on numerical analysis
%D 2009
%V 33
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ETNA_2009__33__a1/
%G en
%F ETNA_2009__33__a1
Salam, A.; Al-Aidarous, E. Error analysis and computational aspects of SR factorization via optimal symplectic householder transformations. Electronic transactions on numerical analysis, Tome 33 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__33__a1/