Ebook: Modern Methods of Optimization: Proceedings of the Summer School “Modern Methods of Optimization”, held at the Schloß Thurnau of the University of Bayreuth, Bayreuth, FRG, October 1–6, 1990

This volume contains the proceedings of the summer school "Modern Methods of Optimization", held at the Schlof3 Thurnau of the University of Bayreuth, October 1-6, 1990. Like other branches of applied mathematics the area of optimization is undergoing a rapid development since the beginning of the computer age. Optimizaiton methods are of increasing importance for both, science and industry. The aim of the summer school was to present state-of-the-art knowledge by inviting 12 specialists from Op­ timization (and related fields) to present their areas of activity in the form of survey talks. This volume contains 10 of these presentations in slightly extended form. Most lectures started from an undergraduate level and outlinad the developments up to the latest scientifique achievements. This enabled the audience, consisting of about 45 students and young researchers, to get an excellent overview of the latest trends in Optimization as w~ll as a grasp of the breadth of its potential applications. Equally important to the success of the summer school was the "nonmeasurable" part of the activities inherent in such a summer school. Here the inspiring atmosphere of a place like Thurnau helped to establish numerous contacts between "teachers" and "students". The summer school was organized by the Universitii. t Bayreuth together with the Technische Hochschule Darmstadt and was generously sponsored by the Volkswagen­ stiftung and the Universitii. tsverein Bayreuth. Their interest in the meeting and their support is hereby gratefully acknowledged.

---

This book contains a collection of 10 lectures about modern methods of optimization. Each of these lectures is devoted to a topic of current interest in optimization and gives an overview starting with the first ideasand leading to recent developments. It can serve as an introduction intonew areas of optimization as well as a guide to the newest trends of research in optimization. It should therefore be equally useful for beginners who are mainly interested in finding access to special and modern topics in optimization and for experts in certain areas of optimization who want to widen their horizon by getting insight into areas they are not yet familiar with.

---

This book contains a collection of 10 lectures about modern methods of optimization. Each of these lectures is devoted to a topic of current interest in optimization and gives an overview starting with the first ideasand leading to recent developments. It can serve as an introduction intonew areas of optimization as well as a guide to the newest trends of research in optimization. It should therefore be equally useful for beginners who are mainly interested in finding access to special and modern topics in optimization and for experts in certain areas of optimization who want to widen their horizon by getting insight into areas they are not yet familiar with.
Content:
Front Matter....Pages i-vii
Computability and Complexity of Polynomial Optimization Problems....Pages 1-23
Identification by Model Reference Adaptive Systems....Pages 24-47
Matching problems with Knapsack side constraints....Pages 48-89
Optimization under functional constraints (semi—infinite programming) and applications....Pages 90-126
Vector Optimization: Theory, Methods, and Application to Design Problems in Engineering....Pages 127-150
Nonconvex Optimization and Its Structural Frontiers....Pages 151-203
Nonlinear Optimization Problems under Data Perturbations....Pages 204-235
Difference Methods for Differential Inclusions....Pages 236-273
Ekeland’s Variational Principle, Convex Functions and Asplund-Spaces....Pages 274-312
Topics in Modern Computational Methods for Optimal Control Problems....Pages 313-348
Back Matter....Pages 349-352

---

This book contains a collection of 10 lectures about modern methods of optimization. Each of these lectures is devoted to a topic of current interest in optimization and gives an overview starting with the first ideasand leading to recent developments. It can serve as an introduction intonew areas of optimization as well as a guide to the newest trends of research in optimization. It should therefore be equally useful for beginners who are mainly interested in finding access to special and modern topics in optimization and for experts in certain areas of optimization who want to widen their horizon by getting insight into areas they are not yet familiar with.
Content:
Front Matter....Pages i-vii
Computability and Complexity of Polynomial Optimization Problems....Pages 1-23
Identification by Model Reference Adaptive Systems....Pages 24-47
Matching problems with Knapsack side constraints....Pages 48-89
Optimization under functional constraints (semi—infinite programming) and applications....Pages 90-126
Vector Optimization: Theory, Methods, and Application to Design Problems in Engineering....Pages 127-150
Nonconvex Optimization and Its Structural Frontiers....Pages 151-203
Nonlinear Optimization Problems under Data Perturbations....Pages 204-235
Difference Methods for Differential Inclusions....Pages 236-273
Ekeland’s Variational Principle, Convex Functions and Asplund-Spaces....Pages 274-312
Topics in Modern Computational Methods for Optimal Control Problems....Pages 313-348
Back Matter....Pages 349-352
....