Geodesic
On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1227-1232 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Formulas for inverting nonsingular Toeplitz matrices with complex entries are derived. These formulas either refine known ones or are new. They make it possible to develop economical algorithms for calculating products of inverse Toeplitz matrices with vectors. 
@article{ZVMMF_2013_53_8_a0,
     author = {V. I. Gel'fgat},
     title = {On certain decompositions of complex inverse {Toeplitz} matrices and related fast algorithms for solving linear systems with {Toeplitz} coefficient matrices},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1227--1232},
     year = {2013},
     volume = {53},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a0/}
}
TY  - JOUR
AU  - V. I. Gel'fgat
TI  - On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2013
SP  - 1227
EP  - 1232
VL  - 53
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a0/
LA  - ru
ID  - ZVMMF_2013_53_8_a0
ER  - 
%0 Journal Article
%A V. I. Gel'fgat
%T On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2013
%P 1227-1232
%V 53
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a0/
%G ru
%F ZVMMF_2013_53_8_a0
V. I. Gel'fgat. On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 8, pp. 1227-1232. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_8_a0/

[1] Voevodin V. V., Tyrtyshnikov E. E., Vychislitelnye protsessy s teplitsevymi matritsami, Nauka, M., 1987 | MR | Zbl

[2] Yaroslavskii L. P., “Sdvinutye diskretnye preobrazovaniya Fure”, Problemy peredachi informatsii, XV:4 (1979), 102–105 | MR

[3] Nussbaumer G., Bystroe preobrazovanie Fure i algoritmy vychisleniya svertok, Radio i svyaz, M., 1985 | MR | Zbl

[4] Gelfgat V. I., “Usloviya kommutirovaniya teplitsevykh matrits”, Zh. vychisl. matem. i matem. fiz., 38:1 (1998), 11–14 | MR