Geodesic
Hamilton form of the Jacobi matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 159-164 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The algorithm of congruent transformation of the positive definite (semi-definite) Jacobi matrix to the form, in which the sum of inner row elements equals to zero, is presented. The definition domain of the parameter of such (not unique) transformation is defined. 
@article{SJVM_2000_3_2_a6,
     author = {Yu. I. Kuznetsov},
     title = {Hamilton form of the {Jacobi} matrices},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {159--164},
     year = {2000},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a6/}
}
TY  - JOUR
AU  - Yu. I. Kuznetsov
TI  - Hamilton form of the Jacobi matrices
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2000
SP  - 159
EP  - 164
VL  - 3
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a6/
LA  - ru
ID  - SJVM_2000_3_2_a6
ER  - 
%0 Journal Article
%A Yu. I. Kuznetsov
%T Hamilton form of the Jacobi matrices
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2000
%P 159-164
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a6/
%G ru
%F SJVM_2000_3_2_a6
Yu. I. Kuznetsov. Hamilton form of the Jacobi matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 3 (2000) no. 2, pp. 159-164. http://geodesic.mathdoc.fr/item/SJVM_2000_3_2_a6/

[1] Gantmakher F. R., Krein M. G., Ostsillyatsionnye matritsy i yadra i malye kolebaniya mekhanicheskikh sistem, GITL, M., L., 1950

[2] Ilin V. P., Kuznetsov Yu. I., Trekhdiagonalnye matritsy i ikh prilozheniya, Nauka, M., 1985 | MR

[3] Ilin V. P., Kuznetsov Yu. I., “O nekotorykh svoistvakh yakobievykh matrits i ikh prilozheniyakh”, Chislennye metody mekhaniki sploshnoi sredy / RAN Sib. otd-nie. — Novosibirsk, 3:5 (1972), 40–50 | MR

[4] Kuznetsov Yu. I., Koscheeva I. V., “Vosstanovlenie trekhdiagonalnoi matritsy”, Zhurn. vychisl. matem. i mat. fiziki, 10 (1987), 1575–1577

[5] Serdyukova S. I., Obratnaya zadacha dlya simmetrichnykh trekhdiagonalnykh matrits, Preprint / OIYaI; p11-92-434, Dubna, 1992 | MR | Zbl