10% off all books and free delivery over £50
Buy from our bookstore and 25% of the cover price will be given to a school of your choice to buy more books. *15% of eBooks.

Convexity and Duality in Optimization

View All Editions (1)

The selected edition of this book is not available to buy right now.
Add To Wishlist
Write A Review

About

Convexity and Duality in Optimization Synopsis

The analysis and optimization of convex functions have re- ceived a great deal of attention during the last two decades. If we had to choose two key-words from these developments, we would retain the concept of ~ubdi66~e~ and the duality theo~y. As it usual in the development of mathematical theories, people had since tried to extend the known defi- nitions and properties to new classes of functions, including the convex ones. For what concerns the generalization of the notion of subdifferential, tremendous achievements have been carried out in the past decade and any rna·· thematician who is faced with a nondifferentiable nonconvex function has now a panoply of generalized subdifferentials or derivatives at his disposal. A lot remains to be done in this area, especially concerning vecto~-valued functions ; however we think the golden age for these researches is behind us. Duality theory has also fascinated many mathematicians since the underlying mathematical framework has been laid down in the context of Convex Analysis. The various duality schemes which have emerged in the re- cent years, despite of their mathematical elegance, have not always proved as powerful as expected.

About This Edition

ISBN: 9783540159865
Publication date:
Author: Jacob Ponstein
Publisher: Springer an imprint of Springer Berlin Heidelberg
Format: Paperback
Pagination: 142 pages
Series: Lecture Notes in Economics and Mathematical Systems
Genres: Economic theory and philosophy