Geodesic
On the choice of almost-optimal parameters in algorithms of Arrow–Hurwicz type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 12-19 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{IVM_2003_1_a1,
     author = {G. P. Astrakhantsev},
     title = {On the choice of almost-optimal parameters in algorithms of {Arrow{\textendash}Hurwicz} type},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--19},
     year = {2003},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2003_1_a1/}
}
TY  - JOUR
AU  - G. P. Astrakhantsev
TI  - On the choice of almost-optimal parameters in algorithms of Arrow–Hurwicz type
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2003
SP  - 12
EP  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IVM_2003_1_a1/
LA  - ru
ID  - IVM_2003_1_a1
ER  - 
%0 Journal Article
%A G. P. Astrakhantsev
%T On the choice of almost-optimal parameters in algorithms of Arrow–Hurwicz type
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2003
%P 12-19
%N 1
%U http://geodesic.mathdoc.fr/item/IVM_2003_1_a1/
%G ru
%F IVM_2003_1_a1
G. P. Astrakhantsev. On the choice of almost-optimal parameters in algorithms of Arrow–Hurwicz type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2003), pp. 12-19. http://geodesic.mathdoc.fr/item/IVM_2003_1_a1/

[1] Fortin M., Glowinski R., Augmented Lagrangian methods. Applications to the numerical solution of boundary value problems, Stud. Math. and Appl., 15, Amsterdam, 1983, 340 pp. | MR | Zbl

[2] Chizhonkov E. V., “K resheniyu algebraicheskoi sistemy tipa Stoksa pri blochno-diagonalnom predobuslovlivanii”, Zhurn. vychisl. matem. i matem. fiz., 41:4 (2001), 549–557 | MR | Zbl

[3] Queck W., “The convergence factor of preconditioned algorithms of the Arrow–Hurwicz type”, SIAM J. Numer. Anal., 4 (1989), 1016–1030 | DOI | MR | Zbl

[4] Silvester D., Wathen A., “Fast iterative solutions of stabilized Stokes systems. II: Using block diagonal preconditioners”, SIAM J. Numer. Anal., 5 (1994), 1352–1367 | DOI | MR | Zbl

[5] Bramble J. H., Pasciak J. E., Vassilev A. T., “Analysis of the inexact Uzawa algorithm for saddle point problems”, SIAM J. Numer. Anal., 3 (1997), 1072–1092 | DOI | MR | Zbl

[6] Chizhonkov E. V., Iteratsionnye metody resheniya setochnykh uravnenii s sedlovym operatorom, Dis. ...dokt. fiz.-matem. nauk, MGU, M., 1999, 32 pp.

[7] Astrakhantsev G. P., “Ob odnom sposobe priblizhennogo resheniya zadachi Dirikhle dlya bigarmonicheskogo uravneniya”, Zhurn. vychisl. matem. i matem. fiz., 17:4 (1977), 980–988 | MR

[8] Astrakhantsev G. P., “Analiz algoritmov tipa Errou–Gurvitsa”, Zhurn. vychisl. matem. i matem. fiz., 41:1 (2001), 17–28 | MR | Zbl