Geodesic
Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 3, pp. 259-276 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1997_37_3_a0,
     author = {I. A. Blatov},
     title = {Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {259--276},
     year = {1997},
     volume = {37},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_3_a0/}
}
TY  - JOUR
AU  - I. A. Blatov
TI  - Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1997
SP  - 259
EP  - 276
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_3_a0/
LA  - ru
ID  - ZVMMF_1997_37_3_a0
ER  - 
%0 Journal Article
%A I. A. Blatov
%T Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1997
%P 259-276
%V 37
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_3_a0/
%G ru
%F ZVMMF_1997_37_3_a0
I. A. Blatov. Bounds for elements of $LU$ factorizations of sparse matrices and their application to incomplete factorization methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 3, pp. 259-276. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_3_a0/

[1] Esterbyu O., Zlatev Z., Pryamye metody dlya razrezhennykh matrits, Mir, M., 1987 | MR

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

[3] Ortega Dzh., Vvedenie v parallelnye i vektornye metody resheniya lineinykh sistem, Mir, M., 1991 | MR

[4] Eremin A. Yu., Kolotilina L. Yu., Ob odnom semeistve dvukhurovnevykh predobuslovlivatelei tipa nepolnoi blochnoi faktorizatsii, Preprint No 108, OVM AN SSSR, M., 1985 | MR

[5] Ilin V. P., “O skorosti skhodimosti neyavnykh metodov nepolnoi faktorizatsii”, Zh. vychisl. matem. i matem. fiz., 33:1 (1993), 3–11 | MR

[6] Blatov I. A., “Ob otsenkakh elementov obratnykh matrits i o modifikatsiyakh metoda matrichnoi progonki”, Sibirskii matem. zhurnal, 33:2 (1992), 10–21 | MR

[7] Blatov I. A., Terteryan A. A., “Ob otsenkakh elementov obratnykh matrits i o metodakh nepolnoi blochnoi faktorizatsii na osnove matrichnoi progonki”, Zh. vychisl. matem. i matem. fiz., 32:11 (1992), 1683–1696 | MR | Zbl

[8] Blatov I. A., “O metodakh nepolnoi faktorizatsii dlya sistem s razrezhennymi matritsami”, Zh. vychisl. matem. i matem. fiz., 33:6 (1993), 819–836 | MR | Zbl

[9] Meurant G., “A review on the inverse of symmetric tridiagonal and block tridiagonal matrices”, SIAM J. Matrix. Analys. and Appl., 13:3 (1992), 707–728 | DOI | MR | Zbl

[10] Voevodin B. B., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

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

[12] Berg Dzh., Lefstrem Dzh., Interpolyatsionnye prostranstva, Mir, M., 1980 | MR

[13] Uilkinson Dzh., Algebraicheskaya problema sobstvennykh znachenii, Mir, M., 1970