Geodesic
On a~modification of the penalty shifting method for nonlinear programming problems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2000), pp. 49-54.

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     author = {Ya. I. Zabotin and I. A. Fukin},
     title = {On a~modification of the penalty shifting method for nonlinear programming problems},
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}
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Ya. I. Zabotin; I. A. Fukin. On a~modification of the penalty shifting method for nonlinear programming problems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2000), pp. 49-54. http://geodesic.mathdoc.fr/item/IVM_2000_12_a6/

[1] Powell M. J. D., “A method for nonlinear constraints in minimization problems”, Optimization, Acad. Press, New York, 1969, 283–298 | MR

[2] Haarhoff P. C., Buys J. D., “A new method for the optimization of a nonlinear function subject to nonlinear constraints”, Computer J., 13:2 (1970), 178–181 | DOI | MR

[3] Gorskii A. A., “Modifikatsiya metoda shtrafnykh funktsii dlya resheniya zadach vypuklogo programmirovaniya”, Izv. AN SSSR. Ser. tekhn. kibernet., 1971, no. 6, 25–29 | MR

[4] Errou K. Dzh., Gurvits L., Udzava Kh., Issledovaniya po lineinomu i nelineinomu programmirovaniyu, In. lit., M., 1962, 334 pp.

[5] Hestenes M. R., “Multiplier and gradient methods”, J. Opt. Theory and Appl., 4:5 (1969), 303–320 | DOI | MR | Zbl

[6] Miele A., Gragg E. E., Iyer R. R., Levy A. V., “Use of the augmented penalty function in mathematical programming problems, I”, J. Opt. Theory and Appl., 8:2 (1971), 115–130 | DOI | MR

[7] Wierzbicki A. P., “A penalty function shifting method in constrained static optimization and its convergence properties”, Arch. Autom. i Telemech., 16:4 (1971), 395–416 | MR | Zbl

[8] Polyak B. T., Tretyakov N. V., “Metod shtrafnykh otsenok dlya zadach na uslovnyi ekstremum”, Zhurn. vychisl. matem. i matem. fiz., 13:1 (1973), 34–46 | Zbl

[9] Fiakko A., Mak-Kormik G., Nelineinoe programmirovanie na osnove posledovatelnoi bezuslovnoi minimizatsii, Mir, M., 1972, 240 pp. | Zbl

[10] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1988, 552 pp. | MR

[11] Pshenichnyi B. N., Neobkhodimye usloviya ekstremuma, Nauka, M., 1982, 143 pp. | MR

[12] Fedorov V. V., Chislennye metody maksimina, Nauka, M., 1979, 280 pp. | MR

[13] Sukharev A. G., Timokhov A. V., Fedorov V. V., Kurs metodov optimizatsii, Nauka, M., 1986, 326 pp. | MR | Zbl

[14] Davydov E. G., Issledovanie operatsii, Vyssh. shkola, M., 1990, 383 pp.

[15] Zabotin Ya. I., Kreinin M. I., “K skhodimosti metodov otyskaniya minimaksa”, Izv. vuzov. Matematika, 1977, no. 10, 56–64 | MR | Zbl

[16] Eremin I. I., “O metode “shtrafov” v vypuklom programmirovanii”, Kibernetika, 1967, no. 4, 63–67 | MR | Zbl

[17] Zhadan V. G., “O nekotorykh otsenkakh koeffitsienta shtrafa v metodakh tochnykh shtrafnykh funktsii”, Zhurn. vychisl. matem. i matem. fiz., 24:8 (1984), 1164–1171 | MR | Zbl