Geodesic
Minimization of a quadratic function on the sphere
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 329-338 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, a sequential algorithm for solving the problem of minimization of a quadratic function on a sphere is proposed. At each iteration of the scheme, a two-dimensional problem of minimization is solved. Numerical comparisons with other methods are presented. 
@article{SJVM_2014_17_4_a1,
     author = {E. A. Kotel'nikov},
     title = {Minimization of a~quadratic function on the sphere},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {329--338},
     year = {2014},
     volume = {17},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a1/}
}
TY  - JOUR
AU  - E. A. Kotel'nikov
TI  - Minimization of a quadratic function on the sphere
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2014
SP  - 329
EP  - 338
VL  - 17
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a1/
LA  - ru
ID  - SJVM_2014_17_4_a1
ER  - 
%0 Journal Article
%A E. A. Kotel'nikov
%T Minimization of a quadratic function on the sphere
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2014
%P 329-338
%V 17
%N 4
%U http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a1/
%G ru
%F SJVM_2014_17_4_a1
E. A. Kotel'nikov. Minimization of a quadratic function on the sphere. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 329-338. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a1/

[1] Hager W. W., “Minimizing a quadratic over a sphere”, SIAM J. Optim., 12:1 (2001), 188–208 | DOI | MR | Zbl

[2] Dennis Dzh., Shnabel R., Chislennye metody bezuslovnoi optimizatsii i resheniya nelineinykh uravnenii, Mir, M., 1988 | MR | Zbl

[3] Zabinyako G. I., Khodaev Yu. V., “O primenenii metoda doveritelnoi oblasti k minimizatsii funktsii”, Tr. Vychislitelnogo tsentra SO RAN. Ser. Sistemnoe modelirovanie, 3(21), Novosibirsk, 1995, 47–54

[4] Kotelnikov E. A., “Ob odnom sposobe vybora shaga v metode doveritelnoi oblasti”, Problemy informatiki, 1:18 (2013), 16–26