Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 387-393

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A numerical algorithm for minimizing a convex function on a smooth surface is proposed. The algorithm is based on reducing the original problem to a sequence of convex programming problems. Necessary extremum conditions are examined, and the convergence of the algorithm is analyzed.
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     author = {Yu. A. Chernyaev},
     title = {Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint},
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Yu. A. Chernyaev. Numerical algorithm for solving mathematical programming problems with a smooth surface as a constraint. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 3, pp. 387-393. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_3_a5/