Geodesic
Minimization of the spectral norm of the SOR operator in a mixed case
Electronic transactions on numerical analysis, Tome 28 (2008)
Zbl   EuDML
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 
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/
@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/}
}
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TI  - Minimization of the spectral norm of the SOR operator in a mixed case
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PY  - 2008
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