Geodesic
About accuracy of the solution of internal subproblems in the Hestenes--Powell method
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 381-386

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Constructive schemes of control of solution accuracy for internal optimization subproblems in the Hestenes–Powell method are suggested. The schemes can be applied to improper convex programming problems of the first kind. The optimum of the objective function on the set of minimizers of the quadratic penalty function is obtained. 
@article{TIMM_1998_5_a25,
     author = {L. D. Popov},
     title = {About accuracy of the solution of internal subproblems in the {Hestenes--Powell} method},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {381--386},
     publisher = {mathdoc},
     volume = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_1998_5_a25/}
}
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L. D. Popov. About accuracy of the solution of internal subproblems in the Hestenes--Powell method. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 5 (1998), pp. 381-386. http://geodesic.mathdoc.fr/item/TIMM_1998_5_a25/