Geodesic
Estimates of the elements of inverse matrices for operators with banded matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 323-331 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, we have received the concrete estimates of the elements of inverse matrices for the bounded operators with banded (finite-diagonal) matrices acting in abstract Banach space. The method is based on the analysis of the Fourier series of some strongly continuous periodic operator-valued functions. 
@article{SJVM_2000_3_4_a3,
     author = {T. V. Azarnova and I. A. Kolesnikov},
     title = {Estimates of the elements of inverse matrices for operators with banded matrices},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {323--331},
     year = {2000},
     volume = {3},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a3/}
}
TY  - JOUR
AU  - T. V. Azarnova
AU  - I. A. Kolesnikov
TI  - Estimates of the elements of inverse matrices for operators with banded matrices
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2000
SP  - 323
EP  - 331
VL  - 3
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a3/
LA  - ru
ID  - SJVM_2000_3_4_a3
ER  - 
%0 Journal Article
%A T. V. Azarnova
%A I. A. Kolesnikov
%T Estimates of the elements of inverse matrices for operators with banded matrices
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2000
%P 323-331
%V 3
%N 4
%U http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a3/
%G ru
%F SJVM_2000_3_4_a3
T. V. Azarnova; I. A. Kolesnikov. Estimates of the elements of inverse matrices for operators with banded matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 4, pp. 323-331. http://geodesic.mathdoc.fr/item/SJVM_2000_3_4_a3/

[1] Blatov I. A., “Ob otsenkakh elementov obratnykh matrits i o modifikatsiyakh metoda matrichnoi progonki”, Sib. matem. zhurn., 32:2 (1992), 10–21 | MR

[2] Baskakov A. G., Garmonicheskii analiz lineinykh operatorov, VGU, Voronezh, 1987 | MR

[3] Baskakov A. G., “Asimptoticheskie otsenki elementov matrits obratnykh operatorov i garmonicheskii analiz”, Sib. matem. zhurn., 38:1 (1997), 14–28 | MR | Zbl

[4] Baskakov A. G., “Abstraktnyi garmonicheskii analiz i asimptoticheskie otsenki elementov obratnykh matrits”, Mat. zam., 52:2 (1992), 17–25 | MR

[5] Shubin M. A., “Psevdoraznostnye operatory i ikh funktsiya Grina”, Izvestiya AN SSSR, ser. matem., 49:3 (1985), 652–671 | MR | Zbl

[6] Demko S., Moss F., Smith W., “Decay rates for inverses of band matrices”, Math. Comput., 43 (1984), 491–499 | MR | Zbl

[7] Azarnova T. V., “Otsenki elementov obratnykh matrits dlya nekotorykh klassov lineinykh ogranichennykh operatorov”, Izvestiya VUZov, matematika, 1998, no. 3(430), 74–77 | MR | Zbl

[8] Baskakov A. G., “Otsenki elementov obratnykh matrits i spektralnyi analiz lineinykh operatorov”, Izvestiya RAN, seriya matem., 61:6 (1997), 3–26 | MR | Zbl

[9] Danford N., Shvarts Dzh., Lineinye operatory. Obschaya teoriya, Inostr. lit., Moskva, 1962