Geodesic
An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 343-359.

Voir la notice de l'article provenant de la source Math-Net.Ru

The character of the spectrum is investigated and eigenfrequencies are calculated with the use of a new iterative algorithm on an example of a spectral problem on eigenfrequencies of a beam of a variable section loaded with the moment of torsion. 
@article{SJVM_2010_13_3_a6,
     author = {V. I. Tarakanov and M. V. Nesterenko},
     title = {An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {343--359},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a6/}
}
TY  - JOUR
AU  - V. I. Tarakanov
AU  - M. V. Nesterenko
TI  - An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2010
SP  - 343
EP  - 359
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a6/
LA  - ru
ID  - SJVM_2010_13_3_a6
ER  - 
%0 Journal Article
%A V. I. Tarakanov
%A M. V. Nesterenko
%T An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2010
%P 343-359
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a6/
%G ru
%F SJVM_2010_13_3_a6
V. I. Tarakanov; M. V. Nesterenko. An iterative algorithm of investigation and numerical solution of spectral problems for a~linear bunch of compact, partially symmetric operators. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 343-359. http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a6/

[1] Gilbert D., Izbrannye trudy. Analiz. Fizika. Problemy, v. II, Faktorial, M., 1998 | Zbl

[2] Tarakanov V. I., Uravneniya s kompaktnymi operatorami v gilbertovom prostranstve i iteratsionnye algoritmy ikh resheniya, Izd-vo Tomskogo politekhn. universiteta, 2007

[3] Nikiforov I. V., Tarakanov V. I., “Metody selektivnogo chislennogo analiza spektra operatora, kompaktnogo v gilbertovom prostranstve”, Vychislitelnye tekhnologii, 9:3 (2004), 58–71 | Zbl

[4] Grinhill A. G., “On the strength of shafting when exposed both to torsion and to end trust”, Proc. of the Inst. of Mechan. Engineers, 1883

[5] Nikolai E. L., Trudy po mekhanike, Gostekhizdat, M., 1955

[6] Volmir A. S., Ustoichivost deformiruemykh sistem, Nauka, M., 1967

[7] Tarakanov V. I., Ustoichivost konstruktsii v neftegazopromyslovoi tekhnologii, Izd-vo SurGU, Surgut, 2001

[8] Krein S. G., Funktsionalnyi analiz, Spravochnik, Nauka, M., 1972 | MR | Zbl

[9] Sadovnichii V. A., Teoriya operatorov, Izd-vo MGU, M., 1986 | MR