Geodesic
Some problems of solving Lipschitzian global optimization problems using the branch and bound method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 4, pp. 512-529 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. N. Nefëdov. Some problems of solving Lipschitzian global optimization problems using the branch and bound method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 4, pp. 512-529. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_4_a1/

[1] Leonov V. V., “Metod pokrytii dlya otyskaniya globalnogo maksimuma funktsii ot mnogikh peremennykh”, Issl. po kibernetike, Sov. radio, M., 1970, 41–52 | MR

[2] 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

[3] Ivanov V. V., “Ob optimalnykh algoritmakh minimizatsii funktsii nekotorykh klassov”, Kibernetika, 1972, no. 4, 81–94 | Zbl

[4] Sukharev A. G., Optimalnyi poisk ekstremuma, Izd-vo MGU, M., 1975

[5] Potapov M. A., Metody neravnomernykh pokrytii i ikh primenenie dlya resheniya zadach globalnoi optimizatsii v dialogovom rezhime, Dis. ...kand. fiz.-matem. nauk, VTs AN SSSR, M., 1984

[6] Nefedov V. N., Ob odnom metode globalnoi maksimizatsii funktsii neskolkikh peremennykh na parallelepipede, Dep. v VINITI 14.01.85, No 377-85 DEP.

[7] Nefedov V. N., Ob odnom chislennom metode otyskaniya globalnogo ekstremuma funktsii na mnozhestve, zadannom ogranicheniyami tipa neravenstv, Dep. v VINITI 10.07.85, No 4971-85 DEP.

[8] Pinter J., “Extended univariate algorithms for $n$-dimensional global optimization”, Computing, 36 (1986), 91–103 | DOI | MR | Zbl

[9] Pinter J., “Globally convergent methods for $n$-dimensional multiextremal optimization”, Optimization, 17 (1986), 187–202 | DOI | MR | Zbl

[10] Pinter J., Branch-and-Bound algorithm for solving multiextremal mathematical programming problems with Lipschitzian structure, Working Paper, VITUKI, Budapest, 1987

[11] Nefedov V. N., “Otyskanie globalnogo maksimuma funktsii neskolkikh peremennykh na mnozhestve, zadannom ogranicheniyami tipa neravenstv”, Zh. vychisl. matem. i matem. fiz., 27:1 (1987), 35–51 | MR | Zbl

[12] Horst R., “Deterministic global optimization with partition sets whose feasibility is not known. Application to concave minimization, DC-programming, reverse convex constraints and Lipschitzian optimization”, J. Optimizat. Theory and Applic., 58:1 (1988), 11–37 | DOI | MR | Zbl

[13] Horst R., “Deterministic methods in constrained global optimization: Some recent advances and new-fields of application”, Nav. Res. Logistics, 37 (1990), 433–471 | 3.0.CO;2-2 class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[14] Strongin P. G., “Ob odnom algoritme globalnoi minimizatsii”, Izv. vuzov. Radiofizika, 13:4 (1970), 539–545 | MR

[15] Strongin R. G., Markin D. L., “Minimizatsiya mnogoekstremalnykh funktsii pri nevypuklykh ogranicheniyakh”, Kibernetika, 1986, no. 4, 64–69 | MR | Zbl

[16] Fedorov V. V., Chislennye metody maksimina, Nauka, M., 1979 | MR

[17] Lyusternik L. A., Sobolev V. I., Kratkii kurs funktsionalnogo analiza, Vyssh. shkola, M., 1982 | MR | Zbl