Conjugate duality and optimization: "Essentially to be regarded as supplement to the book Convex analysis."
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)
[1974]
|
Schriftenreihe: | CBMS-NSF regional conference series in applied mathematics
16 |
Schlagworte: | |
Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (S.. 73-74) The role of convexity and duality -- Examples of convex optimization problems -- Conjugate convex functions in paired spaces -- Dual problems and Lagrangians -- Examples of duality schemes -- Continuity and derivatives of convex functions -- Solutions to optimization problems -- Calculating conjugates and subgradients -- Integral functionals Provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control |
Beschreibung: | 1 Online-Ressource (x, 74 Seiten) |
ISBN: | 9780898710137 |
DOI: | 10.1137/1.9781611970524 |
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500 | |a The role of convexity and duality -- Examples of convex optimization problems -- Conjugate convex functions in paired spaces -- Dual problems and Lagrangians -- Examples of duality schemes -- Continuity and derivatives of convex functions -- Solutions to optimization problems -- Calculating conjugates and subgradients -- Integral functionals | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Rockafellar, Ralph Tyrrell 1935- |
author_GND | (DE-588)115723498 |
author_facet | Rockafellar, Ralph Tyrrell 1935- |
author_role | aut |
author_sort | Rockafellar, Ralph Tyrrell 1935- |
author_variant | r t r rt rtr |
building | Verbundindex |
bvnumber | BV039747249 |
classification_rvk | SI 196 |
collection | ZDB-72-SIA |
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discipline | Mathematik |
doi_str_mv | 10.1137/1.9781611970524 |
format | Electronic eBook |
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indexdate | 2024-07-10T00:10:18Z |
institution | BVB |
isbn | 9780898710137 |
language | English |
lccn | 74193347 |
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physical | 1 Online-Ressource (x, 74 Seiten) |
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publishDate | 1974 |
publishDateSearch | 1974 |
publishDateSort | 1974 |
publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
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series | CBMS-NSF regional conference series in applied mathematics |
series2 | CBMS-NSF regional conference series in applied mathematics |
spelling | Rockafellar, Ralph Tyrrell 1935- Verfasser (DE-588)115723498 aut Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." R. Tyrrell Rockafellar Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) [1974] 1 Online-Ressource (x, 74 Seiten) txt rdacontent c rdamedia cr rdacarrier CBMS-NSF regional conference series in applied mathematics 16 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references (S.. 73-74) The role of convexity and duality -- Examples of convex optimization problems -- Conjugate convex functions in paired spaces -- Dual problems and Lagrangians -- Examples of duality schemes -- Continuity and derivatives of convex functions -- Solutions to optimization problems -- Calculating conjugates and subgradients -- Integral functionals Provides a relatively brief introduction to conjugate duality in both finite- and infinite-dimensional problems. An emphasis is placed on the fundamental importance of the concepts of Lagrangian function, saddle-point, and saddle-value. General examples are drawn from nonlinear programming, approximation, stochastic programming, the calculus of variations, and optimal control Mathematical optimization Convex functions Duality theory (Mathematics) Konvexe Optimierung (DE-588)4137027-2 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Konjugierte Dualität (DE-588)4564710-0 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Dualität (DE-588)4013161-0 gnd rswk-swf Konvexe Optimierung (DE-588)4137027-2 s Konvexe Analysis (DE-588)4138566-4 s DE-604 Konjugierte Dualität (DE-588)4564710-0 s Optimierung (DE-588)4043664-0 s 1\p DE-604 Dualität (DE-588)4013161-0 s 2\p DE-604 3\p DE-604 Erscheint auch als Druckausgabe 9780898710137 CBMS-NSF regional conference series in applied mathematics 16 (DE-604)BV046682627 16 https://doi.org/10.1137/1.9781611970524 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Rockafellar, Ralph Tyrrell 1935- Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." CBMS-NSF regional conference series in applied mathematics Mathematical optimization Convex functions Duality theory (Mathematics) Konvexe Optimierung (DE-588)4137027-2 gnd Optimierung (DE-588)4043664-0 gnd Konjugierte Dualität (DE-588)4564710-0 gnd Konvexe Analysis (DE-588)4138566-4 gnd Dualität (DE-588)4013161-0 gnd |
subject_GND | (DE-588)4137027-2 (DE-588)4043664-0 (DE-588)4564710-0 (DE-588)4138566-4 (DE-588)4013161-0 |
title | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." |
title_auth | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." |
title_exact_search | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." |
title_full | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." R. Tyrrell Rockafellar |
title_fullStr | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." R. Tyrrell Rockafellar |
title_full_unstemmed | Conjugate duality and optimization "Essentially to be regarded as supplement to the book Convex analysis." R. Tyrrell Rockafellar |
title_short | Conjugate duality and optimization |
title_sort | conjugate duality and optimization essentially to be regarded as supplement to the book convex analysis |
title_sub | "Essentially to be regarded as supplement to the book Convex analysis." |
topic | Mathematical optimization Convex functions Duality theory (Mathematics) Konvexe Optimierung (DE-588)4137027-2 gnd Optimierung (DE-588)4043664-0 gnd Konjugierte Dualität (DE-588)4564710-0 gnd Konvexe Analysis (DE-588)4138566-4 gnd Dualität (DE-588)4013161-0 gnd |
topic_facet | Mathematical optimization Convex functions Duality theory (Mathematics) Konvexe Optimierung Optimierung Konjugierte Dualität Konvexe Analysis Dualität |
url | https://doi.org/10.1137/1.9781611970524 |
volume_link | (DE-604)BV046682627 |
work_keys_str_mv | AT rockafellarralphtyrrell conjugatedualityandoptimizationessentiallytoberegardedassupplementtothebookconvexanalysis |