Loading... Please wait...

Discrete Convex Analysis

Hover over image to zoom

Order Code:

 Product Description

by Kazuo Murota


2003 / xxii + 389 pages / Softcover / ISBN: 978-1-611972-55-9 / List Price $147.00 / SIAM Member Price $102.90 / Order Code DT10

Discrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics. This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis.

The theory of discrete convex analysis has attracted the interest of many researchers in the field of optimization. Discrete Convex Analysis provides the information that professionals in optimization will need to Òcatch upÓ with this new theoretical development. It also presents an unexpected connection between matroid theory and mathematical economics and expounds a deeper connection between matrices and matroids than most standard textbooks. Professionals in areas other than optimization will enjoy applying these new mathematical techniques and ideas to their own problems.

List of Figures; Notation; Preface; Chapter 1: Introduction to the Central Concepts; Chapter 2: Convex Functions with Combinatorial Structures; Chapter 3: Convex Analysis, Linear Programming, and Integrality; Chapter 4: M-Convex Sets and Submodular Set Functions; Chapter 5: L-Convex Sets and Distance Functions; Chapter 6: M-Convex Functions; Chapter 7: L-Convex Functions; Chapter 8: Conjugacy and Duality; Chapter 9: Network Flows; Chapter 10: Algorithms; Chapter 11: Application to Mathematical Economics; Chapter 12: Application to Systems Analysis by Mixed Matrices; Bibliography; Index.

ISBN: 9781611972559

 Find Similar Products by Category

Vendors Other Products

 Product Reviews

This product hasn't received any reviews yet. Be the first to review this product!

You Recently Viewed...



Follow us on

Copyright 2016 SIAM Bookstore. All Rights Reserved.
Sitemap | BigCommerce Premium Themes by PSDCenter

Society for Industrial and Applied Mathematics 3600 Market St., 6th Fl. Philadelphia, PA 19104-2688 USA +1-215-382-9800 FAX: +1-215-386-7999 www.siam.org email: siambooks@siam.org

Click the button below to add the Discrete Convex Analysis to your wish list.