An iterative method for minimizing a convex nonsmooth function on a convex smooth surface
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 611-615 Cet article a éte moissonné depuis la source Math-Net.Ru

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An iterative algorithm is proposed for the constrained minimization of a convex nonsmooth function on a set given as a convex smooth surface. The convergence of the algorithm in the sense of necessary conditions for a local minimum is proved.
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Yu. A. Chernyaev. An iterative method for minimizing a convex nonsmooth function on a convex smooth surface. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 611-615. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a2/

[1] Zabotin V. I., Chernyaev Yu. A., “Obobschenie metoda proektsii gradienta na ekstremalnye zadachi s predvypuklymi ogranicheniyami”, Zh. vychisl. matem. i matem. fiz., 41:3 (2001), 367–373 | MR | Zbl

[2] Zabotin V. I., Chernyaev Yu. A., “Skhodimost iteratsionnogo metoda resheniya zadachi matematicheskogo programmirovaniya s ogranicheniem v vide vypukloi gladkoi poverkhnosti”, Zh. vychisl. matem. i matem. fiz., 44:4 (2004), 609–612 | MR | Zbl

[3] Demyanov V. F., Vasilev L. V., Nedifferentsiruemaya optimizatsiya, Nauka, M., 1981 | MR

[4] Vasilev F. P., Chislennye metody resheniya ekstremalnykh zadach, Nauka, M., 1980 | MR