@article{ZVMMF_2007_47_12_a2,
author = {B. Z. Shavarovskii},
title = {Finding a~complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1988--1997},
year = {2007},
volume = {47},
number = {12},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a2/}
}
TY - JOUR AU - B. Z. Shavarovskii TI - Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1988 EP - 1997 VL - 47 IS - 12 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a2/ LA - ru ID - ZVMMF_2007_47_12_a2 ER -
%0 Journal Article %A B. Z. Shavarovskii %T Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 1988-1997 %V 47 %N 12 %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a2/ %G ru %F ZVMMF_2007_47_12_a2
B. Z. Shavarovskii. Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 12, pp. 1988-1997. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_12_a2/
[1] Kozlov V. V., “Lineinye sistemy s kvadratichnym integralom i simplekticheskaya geometriya prostranstv Artina”, Prikl. matem. i mekhan., 68:3 (2004), 371–383 | MR | Zbl
[2] Kozlov V. V., “Ogranicheniya kvadratichnykh form na lagranzhevy ploskosti, kvadratnye matrichnye uravneniya i giroskopicheskaya stabilizatsiya”, Funkts. analiz i ego prilozh., 39:4 (2005), 32–47 | MR | Zbl
[3] Ikramov Kh. D., Chislennoe reshenie matrichnykh uravnenii, Nauka, M., 1984 | MR | Zbl
[4] Lancaster P., Rodman L., Algebraic Riccati equations, Clarendon Press, Oxford, 1995 | MR | Zbl
[5] Aliev F. A., Larin V. B., “Osobye sluchai v zadachakh optimizatsii statsionarnykh lineinykh sistem, funktsioniruyuschikh po printsipu obratnoi svyazi”, Prikl. mekhan., 39:3 (2003), 3–25 | MR | Zbl
[6] Gelfand S. I., “O chisle reshenii kvadratnogo uravneniya”, Globus. Obschematem. seminar, v. 1, MTsNMO, M., 2004, 124–133
[7] Kozlov V V., Obschaya teoriya vikhrei, Izd. dom “Udmurtskii un-t”, Izhevsk, 1998 | MR | Zbl
[8] Kirillov A. A., “O chisle reshenii uravneniya $X^2=0$ v treugolnykh matritsakh nad konechnym polem”, Funkts. analiz i ego prilozh., 29:1 (1995), 82–87 | MR | Zbl
[9] Markus A. C., Mereutsa I. V., “O polnom nabore kornei operatornogo uravneniya, sootvetstvuyuschego polinomialnomu operatornomu puchku”, Izv. AN SSSR. Ser. matem., 37:5 (1973), 1108–1131 | MR | Zbl
[10] Dennis J. E., Traub J. P., Weber R. P., “The algebraic theory of matrix polynomials”, SIAM J. Numer. Analys., 13:6 (1976), 831–845 | DOI | MR | Zbl
[11] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR
[12] Newman M., “On the Smith normal form”, J. Res. Bur. Standards Sect., 75 (1971), 81–84 | MR | Zbl
[13] Kazimipckii P. S., Rozklad matrichnikh mnogochleniv na mnozhniki, Nauk. dumka, Kiïv, 1981