Geodesic
Computation of eigenvalues of perturbed discrete semibounded operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1265-1272 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

To compute the eigenvalues of a perturbed discrete semibounded operator, systems are obtained for the first time in which the number of equations is equal to the multiplicity of the corresponding eigenvalues of the unperturbed operator. 
@article{ZVMMF_2006_46_7_a10,
     author = {S. I. Kadchenko and I. I. Kinzina},
     title = {Computation of eigenvalues of perturbed discrete semibounded operators},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1265--1272},
     year = {2006},
     volume = {46},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a10/}
}
TY  - JOUR
AU  - S. I. Kadchenko
AU  - I. I. Kinzina
TI  - Computation of eigenvalues of perturbed discrete semibounded operators
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2006
SP  - 1265
EP  - 1272
VL  - 46
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a10/
LA  - ru
ID  - ZVMMF_2006_46_7_a10
ER  - 
%0 Journal Article
%A S. I. Kadchenko
%A I. I. Kinzina
%T Computation of eigenvalues of perturbed discrete semibounded operators
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 1265-1272
%V 46
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a10/
%G ru
%F ZVMMF_2006_46_7_a10
S. I. Kadchenko; I. I. Kinzina. Computation of eigenvalues of perturbed discrete semibounded operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 7, pp. 1265-1272. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_7_a10/

[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] Sadovnichii V. A., Podolskii V. E., “O vychislenii pervykh sobstvennykh znachenii operatora Shturma–Liuvillya”, Dokl. RAN, 346:2 (1996), 162–164 | MR

[3] Dorodnitsyn A. A., “Asimptoticheskie zakony raspredeleniya sobstvennykh znachenii dlya nekotorykh vidov differentsialnykh uravnenii vtorogo poryadka”, Uspekhi matem. nauk, 7:6 (1952), 3–96

[4] Dikii L. A., “Novyi sposob priblizhennogo vychisleniya sobstvennykh chisel zadachi Shturma–Liuvillya”, Dokl. AN SSSR, 116:1 (1957), 12–14 | MR

[5] Dikii L. A., “Formuly dlya differentsialnykh operatorov Shturma–Liuvillya”, Uspekhi matem. nauk, 13:3 (1958), 111–143 | MR

[6] Shkarin S. A., “O sposobe Gelfanda–Dikogo vychisleniya pervykh sobstvennykh chisel operatora Shturma–Liuvillya”, Vestn. MGU. Ser. 1. Matem., mekhan., 1996, no. 1, 39–44 | MR

[7] Kadchenko S. I., Novyi metod vychisleniya sobstvennykh chisel vozmuschennykh samosopryazhennykh operatorov, Dis. $\dots$ dokt. fiz.-matem. nauk, MaGU, Magnitogorsk, 2004

[8] Sadovnichii V. A., Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., “Vychislenie pervykh sobstvennykh chisel kraevoi zadachi gidrodinamicheskoi ustoichivosti techeniya mezhdu parallelnymi ploskostyami pri malykh chislakh Reinoldsa”, Dokl. RAN, 335:5 (1997), 600–604 | MR

[9] Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A., “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi Orra–Zommerfelda”, Dokl. RAN, 378:4 (2001), 443–446 | MR | Zbl

[10] Dubrovskii V. V., Kadchenko S. I., Kravchenko V. F., Sadovnichii V. A., “Novyi metod priblizhennogo vychisleniya pervykh sobstvennykh chisel spektralnoi zadachi gidrodinamicheskoi ustoichivosti techeniya Puazeilya v krugloi trube”, Dokl. RAN, 380:2 (2001), 160–163 | MR

[11] Sadovnichii V. A., Teoriya operatorov, Vyssh. shkola, M., 1999