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Convex analysis:

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Bibliographic Details
Main Author:	Rockafellar, Ralph Tyrrell 1935- (Author)
Format:	Book
Language:	English
Published:	Princeton [u.a.] Princeton University Press 1972
Edition:	Second printing
Series:	Princeton mathematical series 28
Subjects:	Mathematical analysis Convex domains Konvexität Konvexe Analysis
Online Access:	Publisher description Inhaltsverzeichnis
Physical Description:	xviii, 451 Seiten
ISBN:	0691080690

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MARC


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Record in the Search Index

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adam_text	Contents Preface vii Introductory Remarks: a Guide for the Reader xi PART I: BASIC CONCEPTS §1. Affine Sets 3 §2. Convex Sets and Cones 10 §3. The Algebra of Convex Sets 16 §4. Convex Functions 23 §5. Functional Operations 32 PART II: TOPOLOGICAL PROPERTIES §6. Relative Interiors of Convex Sets 43 §7. Closures of Convex Functions 51 §8. Recession Cones and Unboundedness 60 §9. Some Closedness Criteria 72 §10. Continuity of Convex Functions 82 PART III: DUALITY CORRESPONDENCES §11. Separation Theorems 95 §12. Conjugates of Convex Functions 102 §13. Support Functions 112 §14. Polars of Convex Sets 121 §15. Polars of Convex Functions 128 §16. Dual Operations 140 PART IV: REPRESENTATION AND INEQUALITIES §17. Caratheodory"s Theorem 153 §18. Extreme Points and Faces of Convex Sets 162 §19. Polyhedral Convex Sets and Functions 170 §20. Some Applications of Polyhedral Convexity 179 §21. Helly's Theorem and Systems of Inequalities 185 §22. Linear Inequalities 198 ix X CONTENTS PART V: DIFFERENTIAL THEORY §23. Directional Derivatives and Subgradients 213 §24. Differential Continuity and Monotonicity 227 §25. Differentiability of Convex Functions 241 §26. The Legendre Transformation 251 PART VI: CONSTRAINED EXTREMUM PROBLEMS §27. The Minimum of a Convex Function 263 §28. Ordinary Convex Programs and Lagrange Multipliers . . . 273 §29. Bifunctions and Generalized Convex Programs 291 §30. Adjoint Bifunctions and Dual Programs 307 §31. Fenchel's Duality Theorem 327 §32. The Maximum of a Convex Function 342 PART VII: SADDLE FUNCTIONS AND MINIMAX THEORY §33. Saddle Functions 349 §34. Closures and Equivalence Classes 359 §35. Continuity and Differentiability of Saddle functions . 370 §36. Minimax Problems 379 §37. Conjugate Saddle functions and Minimax Theorems . 388 PART VIII: CONVEX ALGEBRA §38. The Algebra of Bifunctions 401 §39. Convex Processes 413 Comments and References 425 Bibliography 433 Index 447
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spelling	Rockafellar, Ralph Tyrrell 1935- (DE-588)115723498 aut Convex analysis R. Tyrrell Rockafellar Second printing Princeton [u.a.] Princeton University Press 1972 xviii, 451 Seiten txt rdacontent n rdamedia nc rdacarrier Princeton mathematical series 28 Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd rswk-swf Konvexe Analysis (DE-588)4138566-4 gnd rswk-swf Konvexität (DE-588)4114284-6 s DE-604 Konvexe Analysis (DE-588)4138566-4 s Princeton mathematical series 28 (DE-604)BV000019035 28 http://www.loc.gov/catdir/description/prin051/68056318.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001699685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rockafellar, Ralph Tyrrell 1935- Convex analysis Princeton mathematical series Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
subject_GND	(DE-588)4114284-6 (DE-588)4138566-4
title	Convex analysis
title_auth	Convex analysis
title_exact_search	Convex analysis
title_full	Convex analysis R. Tyrrell Rockafellar
title_fullStr	Convex analysis R. Tyrrell Rockafellar
title_full_unstemmed	Convex analysis R. Tyrrell Rockafellar
title_short	Convex analysis
title_sort	convex analysis
topic	Mathematical analysis Convex domains Konvexität (DE-588)4114284-6 gnd Konvexe Analysis (DE-588)4138566-4 gnd
topic_facet	Mathematical analysis Convex domains Konvexität Konvexe Analysis
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volume_link	(DE-604)BV000019035
work_keys_str_mv	AT rockafellarralphtyrrell convexanalysis

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