Nonlinear Programming. - Hardcover

Mangasarian, Olvi L.

Hardcover

ISBN 10: 0070398852 ISBN 13: 9780070398856

Publisher: McGraw-Hill, 1969

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.

About this title

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.

Edition details

• Publisher: McGraw-Hill
• Publication date: 1969
• ISBN 10: 0070398852
• ISBN 13: 9780070398856
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 208