Linear programming and the newton barrier flow

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1988 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Programming, volume 41, pages 367-373 (issn: 0025-5610, eissn: 1436-4646,

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Authors: Kurt M. Anstreicher;

doi: 10.1007/bf01580774

Linear programming and the newton barrier flow

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Abstract

The author investigates the interior algorithms for linear programming. These algorithms are connected with some trajectories of vectors approximating an optimal solution to a linear programming problem. The author shows that given a bounded polyhedral set P with nonempty interior, the logarithmic barrier function (with no objective components) induces a vector field of negative Newton directions which flows from the center of P to the solution of every possible linear program of P.

Related Organizations

Yale University
United States

Keywords

interior algorithms, Newton's method, Linear programming, central trajectory, logarithmic barrier function

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