On convergence rate estimates for power penalty methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1770-1781 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_10_a5,
     author = {E. R. Avakov and A. V. Arutyunov and A. F. Izmailov},
     title = {On convergence rate estimates for power penalty methods},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1770--1781},
     year = {2004},
     volume = {44},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a5/}
}
TY  - JOUR
AU  - E. R. Avakov
AU  - A. V. Arutyunov
AU  - A. F. Izmailov
TI  - On convergence rate estimates for power penalty methods
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 1770
EP  - 1781
VL  - 44
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a5/
LA  - ru
ID  - ZVMMF_2004_44_10_a5
ER  - 
%0 Journal Article
%A E. R. Avakov
%A A. V. Arutyunov
%A A. F. Izmailov
%T On convergence rate estimates for power penalty methods
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 1770-1781
%V 44
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a5/
%G ru
%F ZVMMF_2004_44_10_a5
E. R. Avakov; A. V. Arutyunov; A. F. Izmailov. On convergence rate estimates for power penalty methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 10, pp. 1770-1781. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_10_a5/

[1] Polyak B. T., Vvedenie v optimizatsiyu, Nauka, M., 1983 | MR

[2] Bertsekas D., Uslovnaya optimizatsiya i metody mnozhitelei Lagranzha, Radio i svyaz, M., 1987 | MR | Zbl

[3] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002

[4] Izmailov A. F., Solodov M. F., Chislennye metody optimizatsii, Fizmatlit, M., 2003 | MR

[5] Polyak B. T., “O skorosti skhodimosti metoda shtrafnykh funktsii”, Zh. vychisl. matem. i matem. fiz., 11:1 (1971), 3–11 | Zbl

[6] Izmailov A. F., “Zadachi optimizatsii s komplementarnymi ogranicheniyami: regulyarnost, usloviya optimalnosti i chuvstvitelnosti”, Zh. vychisl. matem. i matem. fiz., 44:7 (2004), 1209–1229 | MR

[7] Arutyunov A. V., Izmailov A. F., “Abnormal equality-constrained optimization problems: sensitivity theory”, Math. Program., Published online March 10, 2004 | MR

[8] Arutyunov A. V., Izmailov A. F., “Analiz chuvstvitelnosti dlya anormalnykh zadach optimizatsii s konusnym ogranicheniem”, Zh. vychisl. matem. i matem. fiz., 44:4 (2004), 586–608 | MR | Zbl

[9] Bonnans F., Shapiro A., “Optimization problems with perturbations: a guided tour”, SIAM Rev., 40:2 (1998), 228–264 | DOI | MR | Zbl

[10] Izmailov A. F., Tretyakov A. A., 2-regulyarnye resheniya nelineinykh zadach. Teoriya i chislennye metody, Fizmatlit, M., 1999 | MR

[11] Arutyunov A. V., Izmailov A. F., “Tangent vectors to a zero set at abnormal points”, J. Math. Analys. and Appl., 298:1 (2004), 66–76 | DOI | MR