Optimality Conditions: Abnormal and Degenerate Problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Mathematics and Its Applications
526 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimization problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathematical programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the optimal control problem. In the third chapter we study one of the main objects of the calculus of variations, the integral quadratic form. In the concluding, fourth, chapter we study local properties of smooth nonlinear mappings in a neighborhood of an abnormal point. The problems which are studied in this book (of course, in addition to their extremal nature) are united by our main interest being in the study of the so called abnormal or degenerate problems. This is the main distinction of the present book from a large number of books devoted to theory of extremal problems, among which there are many excellent textbooks, and books such as, e.g., [13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a few |
| Beschreibung: | 1 Online-Ressource (X, 300 p) |
| ISBN: | 9789401594387 9789048155965 |
| DOI: | 10.1007/978-94-015-9438-7 |
Internformat
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Datensatz im Suchindex
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| author | Arutjunov, Aram Vladimirovic 1956- |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-9438-7 |
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| id | DE-604.BV042424141 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401594387 9789048155965 |
| language | English |
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| spelling | Arutjunov, Aram Vladimirovic 1956- Verfasser (DE-588)1056101636 aut Optimality Conditions: Abnormal and Degenerate Problems by Aram V. Arutyunov Dordrecht Springer Netherlands 2000 1 Online-Ressource (X, 300 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 526 This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. It is intended mostly for mathematicians and also for all those who are interested in optimization problems. The book may be useful for advanced students, post-graduated students, and researchers. The book consists of four chapters. In Chap. 1 we study the abstract minimization problem with constraints, which is often called the mathematical programming problem. Chapter 2 is devoted to one of the most important classes of extremal problems, the optimal control problem. In the third chapter we study one of the main objects of the calculus of variations, the integral quadratic form. In the concluding, fourth, chapter we study local properties of smooth nonlinear mappings in a neighborhood of an abnormal point. The problems which are studied in this book (of course, in addition to their extremal nature) are united by our main interest being in the study of the so called abnormal or degenerate problems. This is the main distinction of the present book from a large number of books devoted to theory of extremal problems, among which there are many excellent textbooks, and books such as, e.g., [13, 38, 59, 78, 82, 86, 101, 112, 119], to mention a few Mathematics Differential Equations Mathematical optimization Optimization Calculus of Variations and Optimal Control; Optimization Real Functions Ordinary Differential Equations Mathematik Optimalitätsbedingung (DE-588)4172651-0 gnd rswk-swf Optimalitätsbedingung (DE-588)4172651-0 s 1\p DE-604 Mathematics and Its Applications 526 (DE-604)BV008163334 526 https://doi.org/10.1007/978-94-015-9438-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Arutjunov, Aram Vladimirovic 1956- Optimality Conditions: Abnormal and Degenerate Problems Mathematics and Its Applications Mathematics Differential Equations Mathematical optimization Optimization Calculus of Variations and Optimal Control; Optimization Real Functions Ordinary Differential Equations Mathematik Optimalitätsbedingung (DE-588)4172651-0 gnd |
| subject_GND | (DE-588)4172651-0 |
| title | Optimality Conditions: Abnormal and Degenerate Problems |
| title_auth | Optimality Conditions: Abnormal and Degenerate Problems |
| title_exact_search | Optimality Conditions: Abnormal and Degenerate Problems |
| title_full | Optimality Conditions: Abnormal and Degenerate Problems by Aram V. Arutyunov |
| title_fullStr | Optimality Conditions: Abnormal and Degenerate Problems by Aram V. Arutyunov |
| title_full_unstemmed | Optimality Conditions: Abnormal and Degenerate Problems by Aram V. Arutyunov |
| title_short | Optimality Conditions: Abnormal and Degenerate Problems |
| title_sort | optimality conditions abnormal and degenerate problems |
| topic | Mathematics Differential Equations Mathematical optimization Optimization Calculus of Variations and Optimal Control; Optimization Real Functions Ordinary Differential Equations Mathematik Optimalitätsbedingung (DE-588)4172651-0 gnd |
| topic_facet | Mathematics Differential Equations Mathematical optimization Optimization Calculus of Variations and Optimal Control; Optimization Real Functions Ordinary Differential Equations Mathematik Optimalitätsbedingung |
| url | https://doi.org/10.1007/978-94-015-9438-7 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT arutjunovaramvladimirovic optimalityconditionsabnormalanddegenerateproblems |