Geodesic
Some cases of efficient factorization of second-order matrix functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 36-43 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We obtain sufficient conditions for the factorization of second-order matrix functions in the closed form.
Keywords: matrix function, factorization, singular integral equations, linear boundary value problem. 
@article{IVM_2012_6_a3,
     author = {S. N. Kiyasov},
     title = {Some cases of efficient factorization of second-order matrix functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--43},
     year = {2012},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_6_a3/}
}
TY  - JOUR
AU  - S. N. Kiyasov
TI  - Some cases of efficient factorization of second-order matrix functions
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2012
SP  - 36
EP  - 43
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/IVM_2012_6_a3/
LA  - ru
ID  - IVM_2012_6_a3
ER  - 
%0 Journal Article
%A S. N. Kiyasov
%T Some cases of efficient factorization of second-order matrix functions
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2012
%P 36-43
%N 6
%U http://geodesic.mathdoc.fr/item/IVM_2012_6_a3/
%G ru
%F IVM_2012_6_a3
S. N. Kiyasov. Some cases of efficient factorization of second-order matrix functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 36-43. http://geodesic.mathdoc.fr/item/IVM_2012_6_a3/

[1] Vekua N. P., Sistemy singulyarnykh integralnykh uravnenii i nekotorye granichnye zadachi, Nauka, M., 1970 | MR | Zbl

[2] Gakhov F. D., “Kraevaya zadacha Rimana dlya sistemy $n$ par funktsii”, UMN, 7:4 (1952), 3–54 | MR | Zbl

[3] Kiyasov S. N., “Drobno-lineinaya kraevaya zadacha Rimana i ee prilozhenie k faktorizatsii nekotorykh klassov gëlderovskikh matrits-funktsii vtorogo poryadka”, Izv. vuzov. Matem., 1995, no. 9, 23–29 | MR | Zbl

[4] Litvinchuk G. S., Spitkovskii I. M., Faktorizatsiya matrits-funktsii, ch. I, ch. II, No 2410-84, VINITI, 1984

[5] Adukov V. M., “Faktorizatsiya Vinera–Khopfa meromorfnykh matrits-funktsii”, Algebra i analiz, 4:1 (1992), 54–74 | MR | Zbl

[6] Spitkovskii I. M., Tashbaev A. M., “K voprosu ob effektivnoi faktorizatsii matrits-funktsii”, Izv. vuzov. Matem., 1989, no. 4, 69–76 | MR | Zbl

[7] Ehrhardt T., Speck F.-O., “Transformation techniques towards the factorization of non-rational $2\times2$ matrix functions”, Linear Algebra Appl., 353:1–3 (2002), 53–90 | DOI | MR | Zbl

[8] Kiyasov S. N., “Nekotorye sluchai razreshimosti v zamknutoi forme singulyarnykh integralnykh uravnenii i dvumernykh kharakteristicheskikh sistem”, Izv. vuzov. Matem., 2011, no. 4, 54–71 | Zbl