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@article{MZM_1993_54_3_a5, author = {A. B. Kycherov and M. M. Makarov}, title = {A study of the method of approximate factorization for solving grid elliptic boundary-value problems}, journal = {Matemati\v{c}eskie zametki}, pages = {72--88}, publisher = {mathdoc}, volume = {54}, number = {3}, year = {1993}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_3_a5/} }
TY - JOUR AU - A. B. Kycherov AU - M. M. Makarov TI - A study of the method of approximate factorization for solving grid elliptic boundary-value problems JO - Matematičeskie zametki PY - 1993 SP - 72 EP - 88 VL - 54 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_1993_54_3_a5/ LA - ru ID - MZM_1993_54_3_a5 ER -
%0 Journal Article %A A. B. Kycherov %A M. M. Makarov %T A study of the method of approximate factorization for solving grid elliptic boundary-value problems %J Matematičeskie zametki %D 1993 %P 72-88 %V 54 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_1993_54_3_a5/ %G ru %F MZM_1993_54_3_a5
A. B. Kycherov; M. M. Makarov. A study of the method of approximate factorization for solving grid elliptic boundary-value problems. Matematičeskie zametki, Tome 54 (1993) no. 3, pp. 72-88. http://geodesic.mathdoc.fr/item/MZM_1993_54_3_a5/
[1] Kucherov A. B., Makarov M. M., “Metod priblizhennoi faktorizatsii dlya resheniya raznostnykh smeshannykh ellipticheskikh kraevykh zadach”, Raznostnye metody matematicheskoi fiziki, Izd-vo MGU, M., 1984, 54–65
[2] Kucherov A. B., Makarov M. M., “Varianty poperemenno-treugolnogo metoda priblizhennoi faktorizatsii dlya resheniya setochnykh ellipticheskikh uravnenii”, Chislennye metody resheniya zadach matematicheskoi fiziki, Izd-vo MGU, M., 1986
[3] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | Zbl
[4] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | Zbl
[5] Dupont T., Kendall R., Rachford H. H., “An approximate factorization procedure for solving self-adjoint elliptic difference equations”, SIAM, J. Numer. Anal., 5 (1968), 559–573 | DOI | MR | Zbl
[6] Axelsson O., “A generalized SSOR method”, BIT, 13 (1972), 443–467 | DOI | MR
[7] Gustafsson I., “A class of first order factorization method”, BIT, 18 (1974), 142–156 | DOI | MR
[8] Beauwens R., “Lower eigenvalue bounds for pencils of matrices”, Linear Algebra Appl., 85 (1987), 101–119 | DOI | MR | Zbl
[9] Gustafsson I., “On modified incomplete Cholesky factorization methods for the solution of problems with mixed boundary conditions and problems with discontinuous material coefficients”, Int. J. Numer. Meth. Engng., 14 (1979), 1127–1140 | DOI | MR | Zbl
[10] Beauwens R., “Approximate factorizations with $S/P$ consistently ordered $M$-factors”, BIT, 29 (1989), 658–681 | DOI | MR | Zbl
[11] Kucherenko V. V., Trunov G. A., “O skorosti skhodimosti metodov priblizhennoi faktorizatsii”, Matem. zametki, 46:5 (1989), 29–39 | MR