Discrete Convex Analysis

Kazuo Murota

ISBN 10: 1611972558 / ISBN 13: 9781611972559

Published by Society for Industrial and Applied Mathematics,U.S., US, 2013

About this Item

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.

Seller Inventory # LU-9781611972559

Bibliographic Details

• Title: Discrete Convex Analysis
• Publisher: Society for Industrial and Applied Mathematics,U.S., US
• Publication Date: 2013
• Language: English
• ISBN 10: 1611972558
• ISBN 13: 9781611972559
• Binding: Paperback
• Condition: New
• Weight: 733 grams

About this title

Synopsis

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. Discrete Convex Analysis provides the information that professionals in optimization will need to “catch up” 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.

Book Description

Discrete Convex Analysis provides the information that professionals in optimization will need to 'catch up' 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.