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Conjugate Duality and Optimization

Conjugate Duality and Optimization

Conjugate Duality and Optimization

R. Tyrrell Rockafellar
January 1987
Paperback
9780898710137
$46.99
USD
Paperback

    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.

    Product details

    January 1987
    Paperback
    9780898710137
    80 pages
    255 × 178 × 5 mm
    0.35kg
    This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

    Table of Contents

    • 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
      Author
    • R. Tyrrell Rockafellar