A Newtonian iteration process
Izvestiya. Mathematics, Tome 3 (1969) no. 1, pp. 1-11
Cet article a éte moissonné depuis 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},
year = {1969},
volume = {3},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/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