A Note on the Classical Implicit Function Theorem
Matematičeskie zametki, Tome 110 (2021) no. 6, pp. 911-915.

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

Keywords: implicit function theorem, close mappings, Newton's method.
@article{MZM_2021_110_6_a8,
     author = {E. R. Avakov and G. G. Magaril-Il'yaev},
     title = {A {Note} on the {Classical} {Implicit} {Function} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {911--915},
     publisher = {mathdoc},
     volume = {110},
     number = {6},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a8/}
}
TY  - JOUR
AU  - E. R. Avakov
AU  - G. G. Magaril-Il'yaev
TI  - A Note on the Classical Implicit Function Theorem
JO  - Matematičeskie zametki
PY  - 2021
SP  - 911
EP  - 915
VL  - 110
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a8/
LA  - ru
ID  - MZM_2021_110_6_a8
ER  - 
%0 Journal Article
%A E. R. Avakov
%A G. G. Magaril-Il'yaev
%T A Note on the Classical Implicit Function Theorem
%J Matematičeskie zametki
%D 2021
%P 911-915
%V 110
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a8/
%G ru
%F MZM_2021_110_6_a8
E. R. Avakov; G. G. Magaril-Il'yaev. A Note on the Classical Implicit Function Theorem. Matematičeskie zametki, Tome 110 (2021) no. 6, pp. 911-915. http://geodesic.mathdoc.fr/item/MZM_2021_110_6_a8/

[1] Zh. Dedonne, Osnovy sovremennogo analiza, Mir, M., 1964 | MR

[2] V. M. Alekseev, V. M. Tikhomirov, S. V. Fomin, Optimalnoe upravlenie, Nauka, M., 1979 | MR | Zbl

[3] V. A. Zorich, Matematicheskii analiz, Ch. 2, Nauka, M, 1984 | MR | Zbl

[4] E. R. Avakov, G. G. Magaril-Ilyaev, Matem. sb., 211:6 (2020), 3–39 | DOI | MR | Zbl

[5] E. Avakov, G. Magaril-Il'yaev, SIAM J. Control Optim., 58:6 (2020), 3212–3236 | MR | Zbl

[6] E. R. Avakov, G. G. Magaril-Ilyaev, Matem. zametki, 109:4 (2021), 483–499 | DOI | Zbl