Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 3, pp. 411-421

Voir la notice de l'article provenant de la source Math-Net.Ru

For a nonsingular symmetric system of linear equations with a saddle point, a Hermitian and skew-Hermitian splitting (HSS) preconditioner is considered. For the preconditioned system, symmetrizability conditions are established under which estimates are derived for the spectrum and the convergence rate of Chebyshev-type algorithms and GMRes.
@article{ZVMMF_2009_49_3_a1,
     author = {Yu. V. Bychenkov},
     title = {Preconditioning of saddle point problems by the method of {Hermitian} and {skew-Hermitian} splitting iterations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {411--421},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a1/}
}
TY  - JOUR
AU  - Yu. V. Bychenkov
TI  - Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 411
EP  - 421
VL  - 49
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a1/
LA  - ru
ID  - ZVMMF_2009_49_3_a1
ER  - 
%0 Journal Article
%A Yu. V. Bychenkov
%T Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 411-421
%V 49
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a1/
%G ru
%F ZVMMF_2009_49_3_a1
Yu. V. Bychenkov. Preconditioning of saddle point problems by the method of Hermitian and skew-Hermitian splitting iterations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 3, pp. 411-421. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_3_a1/