Convex analysis and variational problems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
1999
|
| Series: | Classics in applied mathematics
28 |
| Subjects: | |
| Online Access: | TUM01 UBW01 UBY01 UER01 Volltext |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader. - English language ed. originally published: Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co. [distributor], 1976, in series: Studies in mathematics and its applications ; v. 1 Includes bibliographical references (p. 391-401) and index Preface to the Classics edition -- Preface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references |
| Physical Description: | 1 Online-Ressource (xiv, 402 Seiten) |
| ISBN: | 0898714508 9780898714500 |
| DOI: | 10.1137/1.9781611971088 |
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| 500 | |a Includes bibliographical references (p. 391-401) and index | ||
| 500 | |a Preface to the Classics edition -- Preface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index | ||
| 500 | |a This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references | ||
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| indexdate | 2024-07-10T00:10:18Z |
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| spelling | Ekeland, Ivar 1944- (DE-588)121956881 aut Analyse convexe et problèmes variationnels Convex analysis and variational problems Ivar Ekeland, Roger Témam Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 1999 1 Online-Ressource (xiv, 402 Seiten) txt rdacontent c rdamedia cr rdacarrier Classics in applied mathematics 28 Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader. - English language ed. originally published: Amsterdam : North-Holland Pub. Co. ; New York : American Elsevier Pub. Co. [distributor], 1976, in series: Studies in mathematics and its applications ; v. 1 Includes bibliographical references (p. 391-401) and index Preface to the Classics edition -- Preface -- Part One. Fundamentals of convex analysis. Chapter I. Convex functions -- Chapter II. Minimization of convex functions and variational inequalities -- Chapter III. Duality in convex optimization -- Part Two. Duality and convex variational problems. Chapter IV. Applications of duality to the calculus of variations (I) -- Chapter V. Applications of duality to the calculus of variations (II) -- Chapter VI. Duality by the minimax theorem -- Chapter VII. Other applications of duality -- Part Three. Relaxation and non-convex variational problems. Chapter VIII. Existence of solutions for variational problems -- Chapter IX. Relaxation of non-convex variational problems (I) -- Chapter X. Relaxation of non-convex variational problems (II) -- Appendix I. An a priori estimate in non-convex programming -- Appendix II. Non-convex optimization problems depending on a parameter -- Comments -- Bibliography -- Index This book contains different developments of infinite dimensional convex programming in the context of convex analysis, including duality, minmax and Lagrangians, and convexification of nonconvex optimization problems in the calculus of variations (infinite dimension). It also includes the theory of convex duality applied to partial differential equations; no other reference presents this in a systematic way. The minmax theorems contained in this book have many useful applications, in particular the robust control of partial differential equations in finite time horizon. First published in English in 1976, this SIAM Classics in Applied Mathematics edition contains the original text along with a new preface and some additional references Mathematical optimization Convex functions Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 s Variationsrechnung (DE-588)4062355-5 s DE-604 Temam, Roger 1940- (DE-588)1024798135 aut Society for Industrial and Applied Mathematics (DE-588)5862-2 isb Erscheint auch als Druck-Ausgabe, Paperback 0898714508 (DE-604)BV013422849 Erscheint auch als Druck-Ausgabe, Paperback 9780898714500 Classics in applied mathematics 28 (DE-604)BV040633091 28 https://doi.org/10.1137/1.9781611971088 Verlag Volltext |
| spellingShingle | Ekeland, Ivar 1944- Temam, Roger 1940- Convex analysis and variational problems Classics in applied mathematics Mathematical optimization Convex functions Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4138566-4 |
| title | Convex analysis and variational problems |
| title_alt | Analyse convexe et problèmes variationnels |
| title_auth | Convex analysis and variational problems |
| title_exact_search | Convex analysis and variational problems |
| title_full | Convex analysis and variational problems Ivar Ekeland, Roger Témam |
| title_fullStr | Convex analysis and variational problems Ivar Ekeland, Roger Témam |
| title_full_unstemmed | Convex analysis and variational problems Ivar Ekeland, Roger Témam |
| title_short | Convex analysis and variational problems |
| title_sort | convex analysis and variational problems |
| topic | Mathematical optimization Convex functions Calculus of variations Variationsrechnung (DE-588)4062355-5 gnd Konvexe Analysis (DE-588)4138566-4 gnd |
| topic_facet | Mathematical optimization Convex functions Calculus of variations Variationsrechnung Konvexe Analysis |
| url | https://doi.org/10.1137/1.9781611971088 |
| volume_link | (DE-604)BV040633091 |
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