The rate of convergence of iterations of implicit incomplete factorization methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 1, pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. P. Il'in. The rate of convergence of iterations of implicit incomplete factorization methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_1_a0/

[1] Il'in V. P., “Incomplete factorization methods”, Soviet. J. Numer. Analys. and Math. Modelling, 3:3 (1988), 179–196 | DOI | MR

[2] Axelsson O., Brinkkemper S., Il'in V. P., On some versions of incomplete block-matrix factorization iterative methods, Rept. No 8322, Dept Math. Univ. Nijmegen, Netherlands, 1983 ; Linear Algebra Appl., 58 (1984), 3–15 | MR | DOI | Zbl

[3] Concus P., Golub G. H., Meurant G., “Block preconditioning for the conjugate gradient method”, SIAM J. Sci. Statist. Comput., 6 (1985), 220–252 | DOI | MR | Zbl

[4] Buleev N. I., Prostranstvennaya model turbulentnogo obmena, Nauka, M., 1989 | MR | Zbl

[5] Ilin V. P., Kositsina L. K., O skorosti skhodimosti yavnogo metoda Buleeva, Preprint No 755, VTs SO AN SSSP, Novosibirsk, 1987 | MR

[6] Kheigeman L., Yang D., Prikladnye iteratsionnye metody, Mir, M., 1986 | MR

[7] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR

[8] Ilin V. P., Raznostnye metody resheniya ellipticheskikh uravnenii, Izd-vo NGU, Novosibirsk, 1970 | MR

[9] Ilin V. P., Ob iteratsionnykh metodakh priblizhennoi faktorizatsii, Preprint No 98, VTs SO AN SSSR, Novosibirsk, 1982

[10] Dzhandzhgava P. V., “Ob odnom svoistve koeffitsientov metoda «progonki»”, Tr. VTs AN GruzSSR, 1, Tbilisi, 1976, 5–13

[11] Ilin V. P., Kuznetsov Yu. I., Trekhdiagonalnye matritsy i ikh prilozheniya, Nauka, M., 1985 | MR

[12] Beauwens R., Trois lemmes, Rept. Scient. Univ. Libre de Bruxelles, June, 1990 | Zbl

[13] Notay Y., Conditioning analysis of approximate block factorization methods and application to parallelizable algorithms, Rept. Scient. Univ. Libre de Bruxelles, March, 1990 | Zbl

[14] Ilin V. P., Sravnenie dvukh iteratsionnykh algoritmov resheniya pyatitochechnykh setochnykh uravnenii, Preprint No 886, VTs SO AN SSSR, Novosibirsk, 1990 | MR