A~Newtonian iteration process
Izvestiya. Mathematics , Tome 3 (1969) no. 1, pp. 1-11.

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

A general Newtonian iteration scheme is proposed which permits one to solve many nonlinear problems, including problems with small denominators.
@article{IM2_1969_3_1_a0,
     author = {I. N. Blinov},
     title = {A~Newtonian iteration process},
     journal = {Izvestiya. Mathematics },
     pages = {1--11},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a0/}
}
TY  - JOUR
AU  - I. N. Blinov
TI  - A~Newtonian iteration process
JO  - Izvestiya. Mathematics 
PY  - 1969
SP  - 1
EP  - 11
VL  - 3
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a0/
LA  - en
ID  - IM2_1969_3_1_a0
ER  - 
%0 Journal Article
%A I. N. Blinov
%T A~Newtonian iteration process
%J Izvestiya. Mathematics 
%D 1969
%P 1-11
%V 3
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a0/
%G en
%F IM2_1969_3_1_a0
I. N. Blinov. A~Newtonian iteration process. Izvestiya. Mathematics , Tome 3 (1969) no. 1, pp. 1-11. http://geodesic.mathdoc.fr/item/IM2_1969_3_1_a0/

[1] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz v normirovannykh prostranstvakh, Fizmatgiz, M., 1959 | MR

[2] Kolmogorov A. N., “O sokhranenii uslovno periodicheskikh dvizhenii pri malom izmenenii funktsii Gamiltona”, Dokl. AN SSSR, 98:4 (1954), 527–530 | MR | Zbl

[3] Arnold V. I., “Malye znamenateli i problemy ustoichivosti dvizheniya v klassicheskoi i nebesnoi mekhanike”, Uspekhi matem. nauk, 18:6(114) (1963), 91–192 | MR

[4] Mozer Yu., “Novyi metod postroeniya reshenii nelineinykh differentsialnykh uravnenii”, Matematika, 4 (1962), 3–10

[5] Erugin N. P., Privodimye sistemy, Trudy Matem. in-ta im. V. A. Steklova AN SSSR, XIII, 1946 | MR | Zbl