Nonlinear Programming: Theory and Algorithms (Set) / Edition 3

by Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty

Overview

Presenting recent developments of key topics in nonlinear programming, this text looks specifically at three main areas; convex analysis, optimality conditions and dual computational techniques.

Product Details

ISBN-13:	9781118857564
Publisher:	Wiley
Publication date:	09/27/2013
Edition description:	3rd Set ed.
Pages:	1046
Product dimensions:	9.50(w) x 6.30(h) x 2.20(d)

About the Author

Mokhtar S. BAZARAA, PhD, is a Professor at the Georgia Institute of Technology.

HANIF D. SHERALI, PhD, is a W. Thomas Rice Chaired Professor of Engineering in the Grado Department of Industrial and Systems Engineering at Virginia Polytechnic Institute and State University.

C. M. SHETTY, PhD, is a Professor Emeritus at the Georgia Institute of Technology.
Professors Bazaraa and Sherali are also coauthors of the complementary bestselling book, Linear Programming and Network Flows, Third Edition, also published by Wiley.

Table of Contents

CONVEX ANALYSIS.

Convex Sets.

Convex Functions and Generalizations.

OPTIMALITY CONDITIONS AND DUALITY.

The Fritz John and the Karush-Kuhn-Tucker Optimality Conditions.

Constraint Qualifications.

Lagrangian Duality and Saddle Point Optimality Conditions.

ALGORITHMS AND THEIR CONVERGENCE.

The Concept of an Algorithm.

Unconstrained Optimization.

Penalty and Barrier Functions.

Methods of Feasible Directions.

Linear Complementary Problem, and Quadratic, Separable, Fractional, and Geometric Programming.

Appendices.

Bibliography.

Index.

What People are Saying About This

From the Publisher

"The promotional message on the back cover proclaims 'this book is a solid reference for professionals and a useful text for students…"; and I fully agree." (Technometrics, February 2007)

"Noted and recommended for its logical format and sharp editing that never wavers in its focus." (Electric Review, September/October 2006)

"…highly recommended for a course in the theory of nonlinear programming…" (MAA Reviews, July 17, 2006)

 ‘… ‘the Bazaraa’ is a must if you are interested in optimization…’ (Journal of the Operational Research Society, 2007)

Editorial Reviews

A self-contained text/reference dealing with convex analysis, optimality conditions and duality, and computational methods--presented with numerical examples, graphical illustrations, and exercises. Useful as a reference for topics in nonlinear programming and as a text in the fields of operations research, management science, industrial engineering, and applied math, and in engineering disciplines that deal with analytical optimization techniques. Requires some mathematical maturity and a working knowledge of linear algebra and calculus. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"The promotional message on the back cover proclaims 'this book is a solid reference for professionals and a useful text for students…"; and I fully agree." (Technometrics, February 2007)

"Noted and recommended for its logical format and sharp editing that never wavers in its focus." (Electric Review, September/October 2006)

"…highly recommended for a course in the theory of nonlinear programming…" (MAA Reviews, July 17, 2006)

 ‘… ‘the Bazaraa’ is a must if you are interested in optimization…’ (Journal of the Operational Research Society, 2007)

From the Publisher