A Note on the Classical Implicit Function Theorem
Matematičeskie zametki, Tome 110 (2021) no. 6, pp. 911-915
Cet article a éte moissonné depuis 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},
year = {2021},
volume = {110},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/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