Read more
List of contents
Preface -- Contributors -- Discretization and Mesh-Independence of Newton’s 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 -- Hoffman’s 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.
Summary
Describes various methodologies for sensitivity, stability and approximation analysis of mathematical programming and related problem structures involving parameters. This text covers such areas as the effect of perturbations on the performance of algorithms, and approximation techniques for optimal control problems.
