Geodesic
Minimization of the spectral norm of the SOR operator in a mixed case
Electronic transactions on numerical analysis, Tome 28 (2008).

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

Summary: 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},
     publisher = {mathdoc},
     volume = {28},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__28__a8/}
}
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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/