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A trajectory-following method for unconstrained optimization
Authors:S Schäffler  H Warsitz
Institution:(1) Institut für Angewandte Mathematik und Statistik, Technische Universität München, München, Bundesrepublik Deutschland
Abstract:A trajectory-following method with interesting properties is considered for solving unconstrained nonlinear programming problems. The trajectory is defined by a special system of ordinary differential equations. This system uses only the gradient of the objective function. Numerical examples are given.The work of the second author was supported by the DFG Schwerpunkt ldquoAnwendungs-bezogene Optimierung and Steuerung.rdquo
Keywords:Unconstrained nonlinear programming  systems of ordinary differential equations  trajectory-following methods
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