Optimization theory and related topics : Israel mathematical conference proceedings, a workshop in memory of Dan Butnariu, January 11-14, 2010, Haifa, Israel / / Simeon Reich, Alexander J. Zaslavski, editors

• Record Nr.: UNINA9910480425703321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society; Ramat Gan, Israel : , : Bar-Ilan University, , [2012]; ©2012
• ISBN: 0-8218-8778-5
• Descrizione fisica: 1 online resource (296 p.)
• Collana: Contemporary mathematics ; ; volume 568
• Disciplina: 519.6
• Soggetti: Mathematical optimization; Differential equations; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Preface""; ""Biography and Bibliography of Dan Butnariu""; ""Conference Program""; ""Sensitivity Estimates Via Lyapunov Functions and Lyapunov Metrics""; ""1. Introduction""; ""2. Contraction-like mappings""; ""3. Lyapunov metrics""; ""4. Construction of Lyapunov metrics""; ""5. Equivalence of the metrics""; ""6. Error estimates for fixed points""; ""7. Error estimates for trajectories""; ""References""; ""On the Maximal Monotonicity of the Sum of a Maximal Monotone Linear Relation and the Subdifferential Operator of a Sublinear Function""; ""1. Introduction""; ""2. Auxiliary Results""; ""3. Main Result""""Acknowledgment""; ""References""; ""An Inverse Newton Transform""; ""1. Introduction""; ""2. Results""; ""3. Examples""; ""4. The logistic iteration""; ""5. Complex iterations""; ""References""; ""Infinite-Horizon Discrete-Time Pontryagin Principles via Results of Michel""; ""1. Introduction""; ""2. Conditions and recall""; ""3. Weak Pontryagin principles""; ""4. Strong Pontryagin principles""; ""5. Proof of Theorem 3.1""; ""6. Proof of Theorem 3.2""; ""7. Proofs of Theorem 4.1 and Theorem 4.2""; ""References""; ""On Sharing of Risk and Resources""; ""1. Introduction""; ""2. An Example""""3. Efficient Sharing under Possibly Non-convex Preferences""; ""4. Risk Sharing""; ""5. Efficient Sharing as a Differential System""; ""6. Who should actively share?""; ""7. Concluding Remarks""; ""References""; ""The Expected Retraction Method in Banach Spaces""; ""1. Introduction""; ""2. Definitions""; ""3. The expected retraction operator""; ""4. The relaxed expected retraction operator""; ""5. ERM iterations""; ""References""; ""Solution of a Singular Optimal Control Problem with State Delays: A Cheap Control Approach""; ""1. Introduction""; ""2. Problem statement and main assumptions""""3. Regularization of the OOCP""; ""4. Asymptotic solution of the CCP""; ""5. Main results""; ""References""; ""Robust Reduction of Dimension of a Linear Programming Problem with Uncertainties: Implication for Robust Production and Technology Planning""; ""1. Introduction""; ""2. LP model""; ""3. Box-constrained uncertainty""; ""4. Finding redundant rows""; ""5. Equivalent transformation""; ""6. Robust upper bounds for dual variables""; ""7. Lower bound for an objective""; ""8. Who will get investments?""; ""9. More lower bounds""; ""10. More upper bounds""""11. Finding redundant columns""; ""12. Numerical examples""; ""13. Conclusion""; ""References""; ""Descent Methods for Mixed Variational Inequalities with Non-Smooth Mappings""; ""1. Introduction""; ""2. Preliminaries""; ""3. Properties of gap functions""; ""4. Stationarity and construction of descent directions""; ""5. Descent algorithm with exact linesearch""; ""6. Descent algorithm with inexact linesearch""; ""7. Modified descent algorithm with inexact linesearch""; ""8. Combined descent and proximal point methods""; ""References""