Methods of dynamic and nonsmooth optimization:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1989
|
Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
57 |
Schlagworte: | |
Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 83-87) Nonsmooth analysis and geometry -- The basic problem in the calculus of variations -- Verification functions and dynamic programming -- Optimal control -- References Presents the elements of a unified approach to optimization based on "nonsmooth analysis," a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development, and this work therefore incorporates more recent results than those presented in 1986. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized |
Beschreibung: | 1 Online-Ressource (v, 90 Seiten) |
ISBN: | 0898712416 9780898712414 |
DOI: | 10.1137/1.9781611970142 |
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Datensatz im Suchindex
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any_adam_object | |
author | Clarke, Francis H. 1948- |
author_GND | (DE-588)173744710 |
author_facet | Clarke, Francis H. 1948- |
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author_sort | Clarke, Francis H. 1948- |
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discipline | Mathematik |
doi_str_mv | 10.1137/1.9781611970142 |
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id | DE-604.BV039747286 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T00:10:18Z |
institution | BVB |
isbn | 0898712416 9780898712414 |
language | English |
lccn | 89021682 |
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spelling | Clarke, Francis H. 1948- Verfasser (DE-588)173744710 aut Methods of dynamic and nonsmooth optimization Frank H. Clarke Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1989 1 Online-Ressource (v, 90 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 57 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (s. 83-87) Nonsmooth analysis and geometry -- The basic problem in the calculus of variations -- Verification functions and dynamic programming -- Optimal control -- References Presents the elements of a unified approach to optimization based on "nonsmooth analysis," a term introduced in the 1970's by the author, who is a pioneer in the field. Based on a series of lectures given at a conference at Emory University in 1986, this volume presents its subjects in a self-contained and accessible manner. The topics treated here have been in an active state of development, and this work therefore incorporates more recent results than those presented in 1986. Focuses mainly on deterministic optimal control, the calculus of variations, and mathematical programming. In addition, it features a tutorial in nonsmooth analysis and geometry and demonstrates that the method of value function analysis via proximal normals is a powerful tool in the study of necessary conditions, sufficient conditions, controllability, and sensitivity analysis. The distinction between inductive and deductive methods, the use of Hamiltonians, the verification technique, and penalization are also emphasized 7th Gear (DE-588)113228306X gnd rswk-swf Nonsmooth optimization Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf Dynamische Optimierung (DE-588)4125677-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1986 Atlanta Ga. gnd-content 7th Gear (DE-588)113228306X b DE-604 Nichtglatte Optimierung (DE-588)4120798-1 s Analysis (DE-588)4001865-9 s Dynamische Optimierung (DE-588)4125677-3 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Society for Industrial and Applied Mathematics Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 0898712416 Erscheint auch als Druck-Ausgabe, Paperback 9780898712414 CBMS-NSF regional conference series in applied mathematics 57 (DE-604)BV046682627 57 https://doi.org/10.1137/1.9781611970142 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Clarke, Francis H. 1948- Methods of dynamic and nonsmooth optimization CBMS-NSF regional conference series in applied mathematics 7th Gear (DE-588)113228306X gnd Nonsmooth optimization Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Analysis (DE-588)4001865-9 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Dynamische Optimierung (DE-588)4125677-3 gnd |
subject_GND | (DE-588)113228306X (DE-588)4062355-5 (DE-588)4001865-9 (DE-588)4120798-1 (DE-588)4125677-3 (DE-588)1071861417 |
title | Methods of dynamic and nonsmooth optimization |
title_auth | Methods of dynamic and nonsmooth optimization |
title_exact_search | Methods of dynamic and nonsmooth optimization |
title_full | Methods of dynamic and nonsmooth optimization Frank H. Clarke |
title_fullStr | Methods of dynamic and nonsmooth optimization Frank H. Clarke |
title_full_unstemmed | Methods of dynamic and nonsmooth optimization Frank H. Clarke |
title_short | Methods of dynamic and nonsmooth optimization |
title_sort | methods of dynamic and nonsmooth optimization |
topic | 7th Gear (DE-588)113228306X gnd Nonsmooth optimization Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Analysis (DE-588)4001865-9 gnd Nichtglatte Optimierung (DE-588)4120798-1 gnd Dynamische Optimierung (DE-588)4125677-3 gnd |
topic_facet | 7th Gear Nonsmooth optimization Calculus of variations Variationsrechnung Analysis Nichtglatte Optimierung Dynamische Optimierung Konferenzschrift 1986 Atlanta Ga. |
url | https://doi.org/10.1137/1.9781611970142 |
volume_link | (DE-604)BV046682627 |
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