RUS  ENG
Full version
JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 3, Pages 217–226 (Mi timm594)

This article is cited in 3 papers

Combined penalties and generalized solutions for improper problems of linear and convex programming of the first kind

L. D. Popov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: 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, central pass.

UDC: 519.658.4

Received: 31.03.2010



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024