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Autorenporträt
Professor Peter Gritzmann lehrt und forscht am Mathematischen Institut der TU München.
Inhaltsangabe
Equilibrium programming problems: Prox-regularization and prox-methods.- Conically equivalent pairs of convex sets.- Global minimax approaches for solving discrete problems.- Gradient approaches to equilibrium.- On the best approximation of set-valued functions.- ?-Intervals in nonsmooth optimization.- A new decomposition method in nonconvex programming via a separable augmented Lagrangian.- Suboptimal solutions of control problems for distributed parameter systems.- Polynominal affine-scaling algorithms for P* (?) linear complementary problems.- Multi-step proximal method for variational inequalities with monotone operators.- Which fixed point does the iteration method select?.- On differential properties of approximate optimal solutions in parametric semi-infinite programming.- Global Optimization Approach to optimizing over the efficient set.- Combining the auxiliary problem principle with approximation methods.- Stable methods for ill-posed variational inequalities in mechanics.- Variational methods in image restoration.- On a special class of mathematical programs with equilibrium constraints.- On the reconstruction problem for nondifferentiable functions.- Nonsmooth continuation for generalized equations.- Locally monotone multifunctions in spaces without linearity.- On the regularized Bingham problem.- Numerical experiments with modern methods for large scale QP-problems.- Models of singular variational inequalities and complementarity problems arising in FEM and BEM unilateral contact problems.- Trap-doors in the solution set of semi-infinite optimization problems.- On compactly Lipschitzian mappings.- Quasiconvex duality for the max of two functions.
Equilibrium programming problems: Prox-regularization and prox-methods.- Conically equivalent pairs of convex sets.- Global minimax approaches for solving discrete problems.- Gradient approaches to equilibrium.- On the best approximation of set-valued functions.- ?-Intervals in nonsmooth optimization.- A new decomposition method in nonconvex programming via a separable augmented Lagrangian.- Suboptimal solutions of control problems for distributed parameter systems.- Polynominal affine-scaling algorithms for P* (?) linear complementary problems.- Multi-step proximal method for variational inequalities with monotone operators.- Which fixed point does the iteration method select?.- On differential properties of approximate optimal solutions in parametric semi-infinite programming.- Global Optimization Approach to optimizing over the efficient set.- Combining the auxiliary problem principle with approximation methods.- Stable methods for ill-posed variational inequalities in mechanics.- Variational methods in image restoration.- On a special class of mathematical programs with equilibrium constraints.- On the reconstruction problem for nondifferentiable functions.- Nonsmooth continuation for generalized equations.- Locally monotone multifunctions in spaces without linearity.- On the regularized Bingham problem.- Numerical experiments with modern methods for large scale QP-problems.- Models of singular variational inequalities and complementarity problems arising in FEM and BEM unilateral contact problems.- Trap-doors in the solution set of semi-infinite optimization problems.- On compactly Lipschitzian mappings.- Quasiconvex duality for the max of two functions.
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