@article{ZVMMF_2007_47_9_a4,
author = {S. I. Kadchenko},
title = {Computing the sums of {Rayleigh{\textendash}Schr\"odinger} series of perturbed self-adjoint operators},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1494--1505},
year = {2007},
volume = {47},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a4/}
}
TY - JOUR AU - S. I. Kadchenko TI - Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2007 SP - 1494 EP - 1505 VL - 47 IS - 9 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a4/ LA - ru ID - ZVMMF_2007_47_9_a4 ER -
%0 Journal Article %A S. I. Kadchenko %T Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2007 %P 1494-1505 %V 47 %N 9 %U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a4/ %G ru %F ZVMMF_2007_47_9_a4
S. I. Kadchenko. Computing the sums of Rayleigh–Schrödinger series of perturbed self-adjoint operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 9, pp. 1494-1505. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_9_a4/
[1] Sadovnichii V. A., Dubrovskii V. V., “Zamechanie ob odnom novom metode vychisleniya sobstvennykh znachenii i sobstvennykh funktsii diskretnykh operatorov”, Tr. seminara im. I. G. Petrovskogo, 17, MGU, M., 1994, 244–248 | MR
[2] Kadchenko S. I., “Novyi metod vychisleniya sobstvennykh znachenii spektralnoi zadachi Orra–Zommerfelda”, Elektromagnitnye volny i elektronnye sistemy, 5:6 (2000), 4–10 | MR
[3] Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A., “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh znachenii spektralnoi zadachi Orra–Zommerfelda”, Dokl. RAN, 378:4 (2001), 443–446 | MR | Zbl
[4] Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A., “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh znachenii spektralnoi zadachi gidrodinamicheskoi ustoichivosti techeniya Puazeilya v krugloi trube”, Dokl. RAN, 380:2 (2001), 160–163 | MR
[5] Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A., “Novyi metod vychisleniya pervykh sobstvennykh znachenii spektralnoi zadachi gidrodinamicheskoi teorii ustoichivosti techeniya vyazkoi zhidkosti mezhdu dvumya vraschayuschimisya tsilindrami”, Dokl. RAN, 381:3 (2001), 320–324 | MR
[6] Kadchenko S. I., “Novyi metod vychisleniya pervykh sobstvennykh chisel diskretnykh nesamosopryazhennykh operatorov”, Ur-niya Sobolevskogo tipa, Sb. nauchn. rabot, Chelyabinskii gos. un-t, Chelyabinsk, 2002, 42–59 | MR
[7] Sadovnichii V. A., Teoriya operatorov, Vyssh. shkola, M., 1999
[8] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Gostekhteorizdat, M., 1957
[9] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR
[10] Lin Tszya-Tszyao, Teoriya gidrodinamicheskoi ustoichivosti, Izd-vo inostr. lit., M., 1958