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Optimality conditions in convex optimization : a finite-dimensional view /

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Covering the current state of the art, this book explores an important and central issue in convex optimization: optimality conditions. It focuses on finite dimensions to allow for much deeper results and a better understanding of the structures involved in a convex optimization problem.

Bibliographic Details
Main Author: Dhara, Anulekha
Corporate Author: Taylor & Francis
Other Authors: Dutta, Joydeep
Format: eBook
Language:English
Language Notes:English.
Published: Boca Raton : CRC Press, ©2012.
Subjects:
Mathematical optimization.
Optimisation mathématique.
MATHEMATICS > Optimization.
Mathematical optimization
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. What is convex optimization?
  • 2. Tools for convex optimization
  • 3. Basic optimality conditions using the normal cone
  • 4. Saddle points, optimality, and duality
  • 5. Enhanced Fritz John optimality conditions
  • 6. Optimality without constraint qualification
  • 7. Sequential optimality conditions
  • 8. Representation of the feasible set and KKT conditions
  • 9. Weak sharp minima in convex optimization
  • 10. Approximate optimality conditions
  • 11. Convex semi-infinite optimization
  • 12. Convexity in nonconvex optimization.