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The Resource Convex analysis, by R. Tyrrell Rockafellar

Convex analysis, by R. Tyrrell Rockafellar

Label
Convex analysis
Title
Convex analysis
Statement of responsibility
by R. Tyrrell Rockafellar
Creator
Author
Subject
Language
eng
Summary
Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle-functions
Member of
Cataloging source
N$T
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Princeton landmarks in mathematics and physics
  • Princeton paperbacks
Convex analysis, by R. Tyrrell Rockafellar
Label
Convex analysis, by R. Tyrrell Rockafellar
Link
http://www.jstor.org/stable/10.2307/j.ctt14bs1ff
Publication
Note
"First published in the Princeton Mathematical Series in 1970"--Title page verso
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Related Location
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Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 433-446) and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
  • Cover; Title; Copright; Dedication; Preface; Contents; Introductory Remarks: a Guide for the Reader ; PART I: BASIC CONCEPTS; 1. Affine Sets; 2. Convex Sets and Cones ; 3. The Algebra of Convex Sets; 4. Convex Functions; 5. Functional Operations; PART II: TOPOLOGICAL PROPERTIES; 6. Relative Interiors of Convex Sets; 7. Closures of Convex Functions; 8. Recession Cones and Unboundedness; 9. Some Closedness Criteria; 10. Continuity of Convex Functions; PART III: DUALITY CORRESPONDENCES; 11. Separation Theorems; 12. Conjugates of Convex Functions; 13. Support Functions
  • 14. Polars of Convex Sets15. Polars of Convex Functions; 16. DualOperations; PART IV: REPRESENTATION AND INEQUALITIES; 17. Caratheodory's Theorem; 18. Extreme Points and Faces of Convex Sets; 19. Polyhedral Convex Sets and Functions; 20. Some Applications of Polyhedral Convexity; 21. Helly's Theorem and Systems of Inequalities; 22. Linear Inequalities; PART V: DIFFERENTIAL THEORY; 23. Directional Derivatives and Subgradients ; 24. Differential Continuity and Monotonicity.; 25. Differentiability of Convex Functions; 26. The Legendre Transformation
  • PART VI: CONSTRAINED EXTREMUM PROBLEMS27. The Minimum of a Convex Function; 28. Ordinary Convex Programs and Lagrange Multipliers; 29. Bifunctions and Generalized Convex Programs; 30. Adjoint Bifunctions and Dual Programs; 31. Fenchel's Duality Theorem; 32. The Maximum of a Convex Function ; PART VII: SADDLE-FUNCTIONS AND MINIMAX THEORY; 33. Saddle-Functions; 34. Closures and Equivalence Classes; 35. Continuity and Differentiability of Saddle-functions; 36. Minimax Problems; 37. Conjugate Saddle-functions and Minimax Theorems; PART VIII: CONVEX ALGEBRA
  • 38. The Algebra of Bifunctions39. Convex Processes; Comments and References ; Bibliography; Index
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781400873173&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4319295'}
Extent
1 online resource (xviii, 451 pages)
File format
unknown
Form of item
online
Isbn
9781400873173
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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