Optimality Conditions in Convex Optimization: A Finite-Dimensional View by Anule

Description: Optimality Conditions in Convex Optimization by Anulekha Dhara, Joydeep Dutta This book explores an extremely important issue in convex optimization: optimality conditions. The text focuses on finite dimensions to allow for much deeper results and a better understanding of the structures involved in a convex optimization problem. The authors include examples, details of major results, and proofs of the main results. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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 in this book, and not usually found in conventional texts. Unlike other books on convex optimization, which usually discuss algorithms along with some basic theory, the sole focus of this book is on fundamental and advanced convex optimization theory.Although many results presented in the book can also be proved in infinite dimensions, the authors focus on finite dimensions to allow for much deeper results and a better understanding of the structures involved in a convex optimization problem. They address semi-infinite optimization problems; approximate solution concepts of convex optimization problems; and some classes of non-convex problems which can be studied using the tools of convex analysis. They include examples wherever needed, provide details of major results, and discuss proofs of the main results. Author Biography 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. Table of Contents 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. Review "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 Review Quote "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 Details ISBN113811524X Year 2017 ISBN-10 113811524X ISBN-13 9781138115248 Format Paperback Pages 444 Subtitle A Finite-Dimensional View Place of Publication London Country of Publication United Kingdom Author Joydeep Dutta Publisher Taylor & Francis Ltd Publication Date 2017-05-31 Affiliation Indian Institute of Technology, Kanpur DEWEY 519.6 Short Title Optimality Conditions in Convex Optimization Language English UK Release Date 2017-05-31 AU Release Date 2017-05-31 NZ Release Date 2017-05-31 Illustrations 17 Illustrations, black and white Imprint CRC Press Audience Professional & Vocational Alternative 9781032609744 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:139718548;

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