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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2012 Issue 3, Pages 3–11 (Mi at3773)

This article is cited in 14 papers

Linear and Nonlinear Programming

Use of barrier functions for optimal correction of improper problems of linear programming of the 1st kind

L. D. Popov

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

Abstract: Possibilities are investigated of the combined use of interior and exterior penalty functions for discovering the generalized (approximate) solutions of improper problems of linear programming of the 1st kind. Diagrams of algorithms, theorems of convergence, results of numerical experiments are presented.

Presented by the member of Editorial Board: A. I. Kibzun

Received: 06.06.2011


 English version:
Automation and Remote Control, 2012, 73:3, 417–424

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