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Necessary optimality conditions for abnormal problems with geometric constraints
Authors:A V Arutyunov  D Yu Karamzin
Institution:(1) Department of Differential Equations, Russian University of Peoples’ Friendship, ul. Miklukho-Maklaya 6, Moscow, 119198, Russia;(2) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Abstract:The abnormal minimization problem with a finite-dimensional image and geometric constraints is examined. In particular, inequality constraints are included. Second-order necessary conditions for this problem are established that strengthen previously known results.
Keywords:abnormal problems  second-order necessary conditions  geometric constraints  index of a quadratic form
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