New variant of incomplete factorization method for solving
Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 101-116.

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

The numerical research of incomplete factorization method for solving two-dimensional equations of elliptic type with non symmetric matrices is presented in the paper. The some variants of incomplete factorization method and their combinations are considered. The parametric researches of convergence of schemes are performed and most effective scheme HFB3 is found.
@article{MM_2004_16_7_a10,
     author = {V. P. Ginkin and N. M. Troyanova and P. V. Novikov},
     title = {New variant of incomplete factorization method for solving},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {101--116},
     publisher = {mathdoc},
     volume = {16},
     number = {7},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_7_a10/}
}
TY  - JOUR
AU  - V. P. Ginkin
AU  - N. M. Troyanova
AU  - P. V. Novikov
TI  - New variant of incomplete factorization method for solving
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 101
EP  - 116
VL  - 16
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_7_a10/
LA  - ru
ID  - MM_2004_16_7_a10
ER  - 
%0 Journal Article
%A V. P. Ginkin
%A N. M. Troyanova
%A P. V. Novikov
%T New variant of incomplete factorization method for solving
%J Matematičeskoe modelirovanie
%D 2004
%P 101-116
%V 16
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_7_a10/
%G ru
%F MM_2004_16_7_a10
V. P. Ginkin; N. M. Troyanova; P. V. Novikov. New variant of incomplete factorization method for solving. Matematičeskoe modelirovanie, Tome 16 (2004) no. 7, pp. 101-116. http://geodesic.mathdoc.fr/item/MM_2004_16_7_a10/

[1] N. I. Buleev, “Chislennyi metod resheniya dvumernykh uravnenii diffuzii”, Atomnaya energiya, 6:3 (1959), 338–340

[2] V. P. Ilin, Metody nepolnoi faktorizatsii dlya resheniya algebraicheskikh sistem, Nauka, M., 1995, 288 pp. | MR

[3] N. I. Buleev, “Novyi variant metoda nepolnoi faktorizatsii dlya resheniya dvumernykh raznostnykh uravnenii diffuzii”, Chislennye metody mekhaniki sploshnoi sredy, 9:1 (1978), 5–19 | MR

[4] V. P. Ginkin, Metod parabolicheskikh progonok dlya resheniya dvumernykh uravnenii ellipticheskogo tipa, preprint FEI-1153, Obninsk, 1981

[5] V. P. Ginkin, “Metod $h$-faktorizatsii dlya resheniya dvumernykh uravnenii ellipticheskogo tipa”, Vychislitelnye metody lineinoi algebry, VTs SO AN SSSR, Novosibirsk, 1977, 123–132 | MR

[6] C. Lanczos, “Solution of systems of linear equations by minimized iterations”, J. Res. Nat. Bur. Standards, 49:1 (1952), 33–53 | MR

[7] D. K. Faddeev, V. N. Faddeeva, Vychislitelnye metody lineinoi algebry, Fizmatgiz, M., 1963 | MR | Zbl

[8] R. Fletcher, “Conjugate gradient methods for indefinite systems”, Lecture Notes in Mathematics, 506, 1976, 73–89 | MR | Zbl

[9] R. W. Freund, G. H. Golub, N. M. Nachtigal, Iterative solution of linear systems, Manuscript NA-91-05, Comp. Sc. Dep., Stanford Un., 1991 | MR

[10] N. I. Buleev, “Metody nepolnoi faktorizatsii dlya resheniya dvumernykh uravnenii ellipticheskogo tipa”, Voprosy atomnoi nauki i tekhniki. Ser. Fizika i tekhnika yadernykh reaktorov, 3:13 (1980), 3–14

[11] V. P. Ilin, Chislennye metody resheniya zadach elektrooptiki, Nauka, Sibirskoe otdelenie, Novosibirsk, 1974, 202 pp.