Geodesic
On a method for computing the values of derivatives in the minimization of multi-extremal functions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 6, pp. 51-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. P. Gergel'. On a method for computing the values of derivatives in the minimization of multi-extremal functions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 6, pp. 51-67. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_6_a6/

[1] Strongin R. G., Chislennye metody v mnogoekstremalnykh zadachakh. (Informatsionno-statisticheskie algoritmy), Nauka, M., 1978 | MR | Zbl

[2] Piyavskii S. A., “Odin algoritm otyskaniya absolyutnogo ekstremuma funktsii”, Zh. vychisl. matem. i matem. fiz., 12:4 (1972), 888–896

[3] Shubert B. O., “Sequential method seeking the global maximum of a function”, SIAM J. Numer. Analys., 9:3 (1972), 379–388 | DOI | MR | Zbl

[4] Evtushenko Yu. G., “Chislennyi metod poiska globalnogo ekstremuma funktsii (perebor na neravnomernoi setke)”, Zh. vychisl. matem. i matem. fiz., 11:6 (1971), 1390–1403 | Zbl

[5] V. V. Fedorov (red.), Voprosy kibernetiki. Modeli i metody globalnoi optimizatsii, Nauchn. Sovet AN SSSR po kompleksnoi probleme «Kibernetika», M., 1985

[6] Zhiglyavskii A. A., Zhilinskas A. G., Metody poiska globalnogo ekstremuma, Nauka, M., 1991 | MR

[7] Horst R., Tuy H., Global optimization-deterministic approaches, Springer Verlag, Berlin, 1990 | MR

[8] Pardalos P. M., Rosen J. B., “Computational methods in global optimization”, Ann. Operat. Res., 25 (1990) | DOI | MR | Zbl

[9] Rinnoy Kan A. H. G., Timmer G. H., Global optimization, North-Holland, Amsterdam, 1989 | MR

[10] Brent R. P., Algorithms for minimization without derivatives, Prentice-Hall, New Jersey, 1973 | MR | Zbl

[11] Gorbunova I. O., Neimark Yu. I., Pleskov A. V., Fadeev V. A., “Ob adaptivnoi poiskovoi optimizatsii s uchetom gradienta”, Dinamika sistem: Optimizatsiya i adaptatsiya, Gorkovskii gos. un-t, Gorkii, 1981, 62–73

[12] Gergel V. P., “Algoritm globalnogo poiska s ispolzovaniem proizvodnykh”, Dinamika sistem: Dinamika i optimizatsiya, Nizhegor. gos. un-t, Nizhnii Novgorod, 1992, 161–178 | MR | Zbl

[13] Breiman L., Cutler A., “A deterministic algorithm for global optimization”, Math. Program., 58 (1993), 179–199 | DOI | MR | Zbl

[14] Gergel V. P., Numerical experiments with methods of global optimization (one-dimensional case), Rept. N190-09, Techn. Univ. Denmark, 1990

[15] Hansen P., Jaumard B., Lu S.-H., “Global optimization of univariate Lipschitz functions. 2: New algorithms and computational comparison”, Math. Program., 55 (1992), 273–293 | DOI | MR

[16] Galperin E. A., “The cubic algorithm”, J. Math. Analys. and Appl., 112 (1985), 635–640 | DOI | MR | Zbl

[17] Gergel V. P., Sergeyev Y. D., Sequential and parallel global optimization algorithms using derivatives, Rept. No 7, Dept. Math. Univ. Calabria, Rende, 1994