Kazufumi Ito is Professor in the Department of Mathematics and an affiliate of the Center for Research in Scientific Computation at North Carolina State University. He was co-recipient of the SIAM Outstanding Paper Award in 2006. Karl Kunisch is Professor in the Institute of Mathematics at the University of Graz, Austria. He was co-recipient of the SIAM Outstanding Paper Award in 2006.

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• PrefaceChapter 1. Existence of Lagrange MultipliersChapter 2. Sensitivity AnalysisChapter 3. First Order Augmented Lagrangians for Equality and Finite Rank Inequality ConstraintsChapter 4. Augmented Lagrangian Methods for Nonsmooth, Convex OptimizationChapter 5. Newton and SQP MethodsChapter 6. Augmented Lagrangian-SQP MethodsChapter 7. The Primal-Dual Active Set MethodChapter 8. Semismooth Newton Methods IChapter 9. Semismooth Newton Methods II: ApplicationsChapter 10. Parabolic Variational InequalitiesChapter 11. Shape OptimizationBibliographyIndex

Kazufumi Ito is Professor in the Department of Mathematics and an affiliate of the Center for Research in Scientific Computation at North Carolina State University. He was co-recipient of the SIAM Outstanding Paper Award in 2006. Karl Kunisch is Professor in the Institute of Mathematics at the University of Graz, Austria. He was co-recipient of the SIAM Outstanding Paper Award in 2006.

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• PrefaceChapter 1. Existence of Lagrange MultipliersChapter 2. Sensitivity AnalysisChapter 3. First Order Augmented Lagrangians for Equality and Finite Rank Inequality ConstraintsChapter 4. Augmented Lagrangian Methods for Nonsmooth, Convex OptimizationChapter 5. Newton and SQP MethodsChapter 6. Augmented Lagrangian-SQP MethodsChapter 7. The Primal-Dual Active Set MethodChapter 8. Semismooth Newton Methods IChapter 9. Semismooth Newton Methods II: ApplicationsChapter 10. Parabolic Variational InequalitiesChapter 11. Shape OptimizationBibliographyIndex