Factorization of analytic matrix-valued functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 324-336 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new method is proposed for calculating the partial indices and the Wiener–Hopf factorization of analytic matrix-valued functions. It has computational advantages with respect to the method proposed by the author earlier. The new method is used to find the divisors of an analytic matrix-valued function $a(t)$ that generate the zeros of $\det a(t)$.
@article{TMF_1999_118_3_a1,
     author = {V. M. Adukov},
     title = {Factorization of analytic matrix-valued functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {324--336},
     year = {1999},
     volume = {118},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a1/}
}
TY  - JOUR
AU  - V. M. Adukov
TI  - Factorization of analytic matrix-valued functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1999
SP  - 324
EP  - 336
VL  - 118
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a1/
LA  - ru
ID  - TMF_1999_118_3_a1
ER  - 
%0 Journal Article
%A V. M. Adukov
%T Factorization of analytic matrix-valued functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1999
%P 324-336
%V 118
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a1/
%G ru
%F TMF_1999_118_3_a1
V. M. Adukov. Factorization of analytic matrix-valued functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 324-336. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a1/

[1] V. E. Zakharov, A. B. Shabat, Funkts. analiz i ego prilozh., 13:3 (1979), 13–22 | MR | Zbl

[2] A. B. Shabat, Diff. uravneniya, 15:10 (1979), 1824–1834 | MR | Zbl

[3] V. M. Adukov, Algebra i analiz, 4:1 (1992), 54–74 | MR

[4] V. M. Adukov, Linear Algebra and Its Appl., 274 (1998), 85–124 | DOI | MR | Zbl

[5] I. Ts. Gokhberg, UMN, 19:1 (1964), 71–124 | MR | Zbl

[6] A. S. Markus, Vvedenie v spektralnuyu teoriyu polinomialnykh operatornykh puchkov, Shtiintsa, Kishinev, 1986 | MR | Zbl

[7] I. Gohberg, P. Lancaster, L. Rodman, Matrix polynomials, Academic Press, N. Y., 1982 | MR | Zbl

[8] A. P. Veselov, Funkts. analiz i ego prilozh., 25:2 (1991), 38–49 | MR | Zbl