Geodesic
Quadratic equations over matrix skew series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2014), pp. 17-30 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We introduce notions of skew and dual-skew series of a set of square matrices, and in these terms we formulate deflation conditions for general matrix quadratic equations.
Mots-clés : matrix structures
Keywords: general matrix quadratic equations. 
@article{IVM_2014_1_a1,
     author = {V. P. Derevenskii},
     title = {Quadratic equations over matrix skew series},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {17--30},
     year = {2014},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_1_a1/}
}
TY  - JOUR
AU  - V. P. Derevenskii
TI  - Quadratic equations over matrix skew series
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2014
SP  - 17
EP  - 30
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IVM_2014_1_a1/
LA  - ru
ID  - IVM_2014_1_a1
ER  - 
%0 Journal Article
%A V. P. Derevenskii
%T Quadratic equations over matrix skew series
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2014
%P 17-30
%N 1
%U http://geodesic.mathdoc.fr/item/IVM_2014_1_a1/
%G ru
%F IVM_2014_1_a1
V. P. Derevenskii. Quadratic equations over matrix skew series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2014), pp. 17-30. http://geodesic.mathdoc.fr/item/IVM_2014_1_a1/

[1] Derevenskii V. P., “Matrichnye differentsialnye uravneniya s razdelyayuschimisya peremennymi”, Izv. vuzov. Matem., 2010, no. 7, 43–55 | MR | Zbl

[2] Derevenskii V. P., “Matrichnye dvustoronnie lineinye differentsialnye uravneniya”, Matem. zametki, 55:1 (1994), 35–42 | MR | Zbl

[3] Matematicheskaya entsiklopediya, v. 4, Sovetskaya entsiklopediya, M., 1984

[4] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR