Optimization and optimal control: proceedings of a conference held at Oberwolfach, March 16-22, 1980
Alfred Auslender, Werner Oettli, Josef Stoer
Springer-Verlag, 1981 - Business & Economics - 254 pages
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absolutely continuous admissible algorithm Angewandte Mathematik application approximation assume assumptions Banach space bounded closed convex cone cluster points compact compute conditions for optimality consider constraints convex cone convex function convex set defined definition denote derivative descent differential games dual problem efficiency evaluate exists finite formula functions f given global convergence gradient Hence Hiriart-Urruty implies inequality iteration Lagrange multipliers Lagrangian Lemma Let f line search linear Lipschitz functions mapping martingale Math mathematical programming method minimization necessary condition neighbourhood nonlinear programming norm objective function obtain optimal control optimal control problems optimal solution optimality conditions optimization problem parabolic parameters penalty function programming problems Proof properties Proposition prove pseudoconvex quadratic quasiconvex functions reachable regular resp satisfied sequence solving step stepsize subset suppose test problems Theorem Theorem 1.3 tion trajectory Universitat variable metric vector Vf(x