Geodesic
The summary to article variant of method Zeidel>>
Matematičeskoe modelirovanie, Tome 15 (2003) no. 12, pp. 29-36 
A. I. Pluta; V. Ya. Stetsenko. The summary to article <>. Matematičeskoe modelirovanie, Tome 15 (2003) no. 12, pp. 29-36. http://geodesic.mathdoc.fr/item/MM_2003_15_12_a2/
@article{MM_2003_15_12_a2,
     author = {A. I. Pluta and V. Ya. Stetsenko},
     title = {The summary to article <<about one variant of method {Zeidel>>}},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {29--36},
     year = {2003},
     volume = {15},
     number = {12},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_12_a2/}
}
TY  - JOUR
AU  - A. I. Pluta
AU  - V. Ya. Stetsenko
TI  - The summary to article <>
JO  - Matematičeskoe modelirovanie
PY  - 2003
SP  - 29
EP  - 36
VL  - 15
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/MM_2003_15_12_a2/
LA  - ru
ID  - MM_2003_15_12_a2
ER  - 
%0 Journal Article
%A A. I. Pluta
%A V. Ya. Stetsenko
%T The summary to article <>
%J Matematičeskoe modelirovanie
%D 2003
%P 29-36
%V 15
%N 12
%U http://geodesic.mathdoc.fr/item/MM_2003_15_12_a2/
%G ru
%F MM_2003_15_12_a2

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

In article one of variants of the decision of systems of the linear algebraic equations is offered by methods Zeidel of various orders and acceleration of convergence. Thus methods of construction of two sequences $u_n$, $v_n$, and also their “specifications” $u_n^*$ and $v_n^*$ which are the sequences more quickly converging to the required decision of the equation are offered. Numerical examples of realization of a variant of method Zeidel «the order a zero» and «the order one» are considered. On an offered method the program in programming language TURBO PASCAL is made.

[1] Grobova T. A., Metody iterativnogo agregirovaniya dlya priblizhennogo resheniya lineinykh i nelineinykh algebraicheskikh sistem i integralnykh uravnenii, Dissertatsiya, Stavropol, 2002

[2] Krasnoselskii M. A., Stetsenko V. Ya., “Zamechaniya o metode Zeidelya”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 9:1 (1969), 177–182 | MR

[3] Krasnoselskii M. A., Vainikko G. M., Zabreiko P. P., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR

[4] Korshunova N. I., Plyasunov B. C., Matematika v ekonomike, Vita-Press, M., 1996