Trends in Mathematical Optimization - K. H. Hoffmann

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Résumé :
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Sommaire:
Rate of convergence for the saddle points of convex-concave functions.- Optimal control of ODE systems with hysteresis nonlinearities.- Equivalent perturbations and approximations in optimal control.- On locally polyhedral convex functions.- Recent results on generalized conjugate functions.- Affine and projective transformations in nondifferentiable optimization.- A general result of Farkas type.- Parametric semi-infinite optimization in certain lattices: Continuity of the feasible set.- Inverse problems.- Shorted operators through convex analysis.- About the finite convergence of the proximal point algorithm.- Coupling optimization methods and variational convergence.- Approximate solutions for two-level optimization problems.- On lower subdifferentiable functions.- On the usage of bundle methods in optimal control of nondifferentiable systems.- On extensions of the second-order derivative.- Another duality scheme for quasiconvex problems.- Duality in D. C. (Difference of convex functions) optimization. Subgradient methods.- Solving constrained nonlinear least squares problems by a general purpose SQP-method.- New algorithms in convex programming based on a notion of centre (for systems of analytic inequalities) and on rational extrapolation.- A few examples of least squares optimization in physical chemistry and astronomy.- Duality in generalized fractional programming.- On recent developments in linear programming.