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Concave gauge functions and applications
Authors:Abdessamad Barbara  Jean -Pierre Crouzeix
Affiliation:(1) Mathématiques Appliquées, Université Blaise Pascal, URA 1501-CRNS, 63177 Aubière, France
Abstract:Many problems of optimization involve the minimization of an objective function on a convex cone. In this respect we define a concave gauge function which will be used in interior point methods.Application are given in particular on the space of real symmetric matrices.
Keywords:Concave gauge function  concave barrier function  potential gauge function
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