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Title: Cutting plane method for solving convex optimization problems over nonnegative polynomials
Authors: Caraus, Iurie
Van Barel, Marc #
Issue Date: Jul-2008
Conference: International Congress on Computational and Applied Mathematics edition:13 location:Ghent, Belguim date:07-11 July 2008
Abstract: Several optimization problems covering a large number of applications can be formulated as convex optimization problems. We are interested in convex problems related to nonnegative polynomials. Nonnegative polynomials are natural to model various engineering problems. In this talk a method for solving convex optimization problems, based on the use of cutting planes is described. This method is called the Analytic Center Cutting Plane Method. For numerical stability, it is important that the nonnegative polynomials are represented with respect to a good basis. For efficiency, we use fast algorithms for finding zeros of a polynomial represented in this basis. Numerical results show the efficiency and accuracy of our new approach.
Publication status: published
KU Leuven publication type: IMa
Appears in Collections:Numerical Analysis and Applied Mathematics Section
# (joint) last author

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