Discrete Convex Analysis (SIAM Monographs on Discrete Mathematics and Applications) - Softcover

Murota, Kazuo

Softcover

ISBN 10: 1611972558 ISBN 13: 9781611972559

Publisher: Society for Industrial & Applied Mathematics,U.S.

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.

About this title

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.

From the Publisher

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 "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. Professionals in areas other than optimization will enjoy applying these new mathematical techniques and ideas to their own problems.

Edition details

• Publisher: Society for Industrial & Applied Mathematics,U.S.
• Language: English
• ISBN 10: 1611972558
• ISBN 13: 9781611972559
• Binding: Paperback