Geodesic
On estimation of entries of a matrix inverse to a cyclic band matrix
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 263-267 
Yu. S. Volkov. On estimation of entries of a matrix inverse to a cyclic band matrix. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 6 (2003) no. 3, pp. 263-267. http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a3/
@article{SJVM_2003_6_3_a3,
     author = {Yu. S. Volkov},
     title = {On estimation of entries of a~matrix inverse to a~cyclic band matrix},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {263--267},
     year = {2003},
     volume = {6},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a3/}
}
TY  - JOUR
AU  - Yu. S. Volkov
TI  - On estimation of entries of a matrix inverse to a cyclic band matrix
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2003
SP  - 263
EP  - 267
VL  - 6
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a3/
LA  - ru
ID  - SJVM_2003_6_3_a3
ER  - 
%0 Journal Article
%A Yu. S. Volkov
%T On estimation of entries of a matrix inverse to a cyclic band matrix
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2003
%P 263-267
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/SJVM_2003_6_3_a3/
%G ru
%F SJVM_2003_6_3_a3

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

Estimates for entries of matrix inverse to the diagonally dominant cyclic band matrix are obtained. These results are used for the evaluation of a norm of the inverse matrix in the case of the column diagonal dominance.

[1] Volkov Yu. S., “Novyi sposob postroeniya interpolyatsionnykh kubicheskikh splainov”, DAN, 382:2 (2002), 155–157 | MR | Zbl

[2] Demko S., “Inverses of band matrices and local convergence of spline projections”, SIAM J. Numer. Anal., 14:4 (1977), 616–619 | DOI | MR | Zbl

[3] de Boor C., “Odd-degree spline interpolation at a biinfinite knot sequence”, Approx. Theory, Proc. Int. Colloq. (Bonn, 1976), Lecture Notes Math., 556, eds. R. Schaback, K. Scherer, Springer, Heidelberg, 1976, 30–53 | MR

[4] Zavyalov Yu. S., Kvasov B. I., Miroshnichenko V. L., Metody splain-funktsii, Nauka, M., 1980 | MR