Nonlinear Programming: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970

Rosen, J. B. (Editor) / Mangasarian, O. L. (Series Editor) / Ritter, K. (Series Editor)

ISBN 10: 1483245632 / ISBN 13: 9781483245638

Published by Academic Press, 2014

About this Item

502 pages. 9.25x6.00x1.14 inches. In Stock.

Seller Inventory # zk1483245632

Bibliographic Details

• Title: Nonlinear Programming: Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin, Madison, May 4-6, 1970
• Publisher: Academic Press
• Publication Date: 2014
• Language: English
• ISBN 10: 1483245632
• ISBN 13: 9781483245638
• Binding: Paperback
• Condition: Brand New
• Weight: 0.86 kilograms

About this title

Synopsis

This reprint of the 1969 book of the same name is a concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and airline scheduling can be reduced to a constrained optimization problem. This book provides readers with the fundamentals needed to study and solve such problems. Beginning with a chapter on linear inequalities and theorems of the alternative, basics of convex sets and separation theorems are then derived based on these theorems. This is followed by a chapter on convex functions that includes theorems of the alternative for such functions. These results are used in obtaining the saddlepoint optimality conditions of nonlinear programming without differentiability assumptions.

Book Description

A concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory. Many problems arising in diverse fields such as machine learning, medicine, chemical engineering, structural design, and scheduling can be reduced to a constrained optimization problem. Provides readers with the fundamentals needed to study and solve such problems.