Geodesic
Minimization of the spectral norm of the SOR operator in a mixed case
Electronic transactions on numerical analysis, Tome 28 (2008)
In this work we solve the problem of the minimization of the spectral norm of the SOR operator associated with a block two-cyclic consistently ordered matrix A $\in $Cn,n, assuming that the corresponding Jacobi $\surd $matrix has eigenvalues $\mu \in [ - \beta , \beta ] \cup $[ - ı$\alpha $, ı$\alpha $], with $\beta \in $[0, 1), $\alpha \in $[0, +$\infty $) and ı = - 1. Previous results obtained by other researchers are extended.
Classification : 65F10
Keywords: Jacobi and SOR iteration matrices, block two-cyclic consistently ordered matrix, spectral matrix norm 
@article{ETNA_2008__28__a8,
     author = {Hadjidimos,  A. and Stratis,  P.},
     title = {Minimization of the spectral norm of the {SOR} operator in a mixed case},
     journal = {Electronic transactions on numerical analysis},
     year = {2008},
     volume = {28},
     zbl = {1171.65021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__28__a8/}
}
TY  - JOUR
AU  - Hadjidimos,  A.
AU  - Stratis,  P.
TI  - Minimization of the spectral norm of the SOR operator in a mixed case
JO  - Electronic transactions on numerical analysis
PY  - 2008
VL  - 28
UR  - http://geodesic.mathdoc.fr/item/ETNA_2008__28__a8/
LA  - en
ID  - ETNA_2008__28__a8
ER  - 
%0 Journal Article
%A Hadjidimos,  A.
%A Stratis,  P.
%T Minimization of the spectral norm of the SOR operator in a mixed case
%J Electronic transactions on numerical analysis
%D 2008
%V 28
%U http://geodesic.mathdoc.fr/item/ETNA_2008__28__a8/
%G en
%F ETNA_2008__28__a8
Hadjidimos,  A.; Stratis,  P. Minimization of the spectral norm of the SOR operator in a mixed case. Electronic transactions on numerical analysis, Tome 28 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__28__a8/