Optimality Conditions in Convex Optimization
A Finite-Dimensional View
1st Edition
Published on 17. October 2011
444 pages
978-1-4398-6823-2 (ISBN)
Description
Optimality Conditions in Convex Optimization explores an important and central issue in the field of convex optimization: optimality conditions. It brings together the most important and recent results in this area that have been scattered in the literature-notably in the area of convex analysis-essential in developing many of the important results
Reviews / Votes
"It discusses a number of major approaches to the subject, bringing together many results from the past thirty-five years into one handy volume. ... Researchers in variational analysis should find this book to be a useful reference; for those new to convex optimization, it provides a very accessible entry point to the field. I have begun recommending it to graduate students who would like to learn about convex subdifferential calculus. ... a valuable book, a most welcome addition to the optimization theory literature."-Doug Ward, Mathematical Reviews, January 2013
More details
Language
English
Place of publication
Baton Rouge
United States
Publishing group
Taylor & Francis Inc
Target group
Professional and scholarly
Graduate students and researchers in optimization theory and algorithms; engineers, physicists, and economists; professionals in finance, business, and industry.
Illustrations
17 s/w Abbildungen
17 b/w images
File size
3,21 MB
ISBN-13
978-1-4398-6823-2 (9781439868232)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Anulekha Dhara | Joydeep Dutta
Optimality Conditions in Convex Optimization
A Finite-Dimensional View
Book
05/2017
1st Edition
CRC Press
€118.40
Shipment within 10-20 days
Anulekha Dhara | Joydeep Dutta
Optimality Conditions in Convex Optimization
A Finite-Dimensional View
Book
10/2011
1st Edition
CRC Press
€253.79
Shipment within 15-20 days
Persons
Anulekha Dhara earned her Ph.d. in IIT Delhi and subsequently moved to IIT Kanpur for her post-doctoral studies. Currently, she is a post-doctoral fellow in Mathematics at the University of Avignon, France. Her main area of interest is optimization theory.
Joydeep Dutta is an Associate Professor of Mathematics at the Indian Institute of Technology, (IIT) Kanpur. His main area of interest is optimization theory and applications.
Joydeep Dutta is an Associate Professor of Mathematics at the Indian Institute of Technology, (IIT) Kanpur. His main area of interest is optimization theory and applications.
Content
What Is Convex Optimization?. Tools for Convex Optimization. Basic Optimality Conditions using the Normal Cone. Saddle Points, Optimality and Duality. Enhanced Fritz John Optimality Conditions. Optimality without Constraint Qualification. Sequential Optimality Conditions and Generalized Constraint Qualification. Representation of the Feasible Set and KKT Conditions. Weak Sharp Minima in Convex Optimization. Approximate Optimality Conditions. Convex Semi-infinite Optimization. Convexity in Non-Convex Optimization. Bibliography. Index.
