Optimality Conditions in Convex Optimization: A Finite-Dimensional View

Anulekha Dhara, Joydeep Dutta

ISBN 10: 1439868220 / ISBN 13: 9781439868225

Editore: CRC Press 2011-11-25, 2011

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Codice articolo 6666-TNFPD-9781439868225

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Titolo: Optimality Conditions in Convex Optimization...

Casa editrice: CRC Press 2011-11-25

Data di pubblicazione: 2011

Legatura: Hardcover

Condizione: New

Descrizione articolo

Riassunto:

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.

Informazioni sull?autore:

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.