Geodesic
The componentwise descent method
Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 137-142 
V. A. Zhdanov. The componentwise descent method. Matematičeskie zametki, Tome 22 (1977) no. 1, pp. 137-142. http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/
@article{MZM_1977_22_1_a14,
     author = {V. A. Zhdanov},
     title = {The componentwise descent method},
     journal = {Matemati\v{c}eskie zametki},
     pages = {137--142},
     year = {1977},
     volume = {22},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/}
}
TY  - JOUR
AU  - V. A. Zhdanov
TI  - The componentwise descent method
JO  - Matematičeskie zametki
PY  - 1977
SP  - 137
EP  - 142
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/
LA  - ru
ID  - MZM_1977_22_1_a14
ER  - 
%0 Journal Article
%A V. A. Zhdanov
%T The componentwise descent method
%J Matematičeskie zametki
%D 1977
%P 137-142
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_1_a14/
%G ru
%F MZM_1977_22_1_a14

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

The problem of minimizing a function of several variables on a parallelepiped is considered. A method of componentwise descent, not requiring the computation of derivatives of the function being minimized, is suggested for its solution. Its convergence for smooth convex functions is proved.