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Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms

Ezzine, J. and Ben-Daya, M. (1995) Singularly perturbed nonlinear ODEs and interior point optimizationalgorithms. American Control Conference, 1995. Proceedings of the, 3.

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Abstract

This paper explores the continuous realizations of iterative processes emanating from interior point optimization algorithms, and their connection with nonlinear singularly-perturbed ordinary differential equations. This mathematical connection provides a theoretical framework for the analysis of the dynamical properties long known and exploited in interior point-based optimization techniques. In addition, this connection is used to show that the logarithmic barrier function is indeed, in some sense, optimum



Item Type:Article
Date:June 1995
Date Type:Publication
Subjects:Computer
Divisions:College Of Computer Sciences and Engineering > Systems Engineering Dept
Creators:Ezzine, J. and Ben-Daya, M.
ID Code:14207
Deposited By:KFUPM ePrints Admin
Deposited On:24 Jun 2008 16:26
Last Modified:12 Apr 2011 13:15

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