Combined penalties and generalized solutions for improper problems of linear and convex programming of the first kind
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 217-226

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The potential of the combined application of interior and exterior penalty functions in finding generalized (approximation) solutions to improper problems of linear and convex programming of the first kind is investigated. Algorithm schemes, convergence theorems, and results of numerical experiments are presented.
Keywords: improper problems of mathematical programming, optimal correction procedures, penalty function method
Mots-clés : central pass.
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     author = {L. D. Popov},
     title = {Combined penalties and generalized solutions for improper problems of linear and convex programming of the first kind},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {217--226},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a23/}
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L. D. Popov. Combined penalties and generalized solutions for improper problems of linear and convex programming of the first kind. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 217-226. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a23/