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NEWTON FLOW AND INTERIOR POINT METHODS IN LINEAR PROGRAMMING

    https://doi.org/10.1142/9789812774569_0007Cited by:0 (Source: Crossref)
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    Abstract:

    We study the geometry of the central paths of linear programming theory. These paths are the solution curves of the Newton vector field of the logarithmic barrier function. This vector field extends to the boundary of the polytope and we study the main properties of this extension: continuity, analyticity, singularities.