Mathematical Programming with Data Perturbations

Preface -- Contributors -- Discretization and Mesh-Independence of Newtonâs Method for Generalized Equations /Walter Alt -- Extended Quadratic Tangent Optimization Problems /J. F. Bonnans -- On Generalized Differentiability of Optimal Solutions in Nonlinear Parametric Optimization /S. Dempe -- Characterizations of Lipschitzian Stability in Nonlinear Programming /A. L. Dontchev and R. T. Rockafellar -- On Second Order Sufficient Conditions for Structured Nonlinear Programs in Infinite-Dimensional Function Spaces /J. C. Dunn -- Algorithmic Stability Analysis for Certain Trust Region Methods /Ursula Felgenhauer -- A Note on Using Linear Knowledge to Solve Efficiently Linear Programs Specified with Approximate Data /Sharon Filipowski -- On the Role of the Mangasarian-Fromovitz Constraint Qualification for Penalty-, Exact Penalty-, and Lagrange Multiplier Methods /Jurgen Guddat, Francisco Guerra, and Dieter Nowack -- Hoffmanâs Error Bound for Systems of Convex Inequalities /Diethard Klatte -- Lipschitzian and Pseudo-Lipschitzian Inverse Functions and Applications to Nonlinear Optimization /Bernd Kummer -- On Well-Posedness and Stability Analysis in Optimization /R. Lucchetti and T. Zolezzi -- Convergence of Approximations to Nonlinear Optimal Control Problems /Kazimierz Malanowski, Christof Bits kens, and Helmut Maurer -- A Perturbation-Based Duality Classification for Max-Flow Min-Cut Problems of Strang and Iri /Ryohei Nozawa and K. O. Kortanek -- Central and Peripheral Results in the Study of Marginal and Performance Functions? /Jean-Paul Penot -- Topological Stability of Feasible Sets in Semi-infinite Optimization: A Tutorial /Jan-J. Riickmann -- Solution Existence for Infinite Quadratic Programming /I. E. Schochetman, R. L. Smith, and S. K. Tsui -- Sensitivity Analysis of Nonlinear Programming Problems via Minimax Functions /S. Shiraishi -- Parametric Linear Complementarity Problems /Klaus Tammer -- Sufficient Conditions for Weak Sharp Minima of Order Two and Directional Derivatives of the Value Function /Doug Ward -- Index.