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Conjugate duality and optimization : "Essentially to be regarded as supplement to the book Convex analysis."

Author: R Tyrrell Rockafellar
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [1974]
Series: CBMS-NSF regional conference series in applied mathematics, 16
Edition/Format:   Computer file : English
Database:WorldCat
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Material Type: Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R Tyrrell Rockafellar
ISBN: 9780898710137 0898710138
OCLC Number: 873886345
Notes: Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader.
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.
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.
Description: 1 electronic text (x, 74 p.)
Series Title: CBMS-NSF regional conference series in applied mathematics, 16
Responsibility: R. Tyrrell Rockafellar.

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