| Nonlinear Programming Contributor(s): Mangasarian, Olvi L. (Author) |
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ISBN: 0898713412 ISBN-13: 9780898713411 Publisher: Society for Industrial and Applied Mathematic OUR PRICE: $64.60 Product Type: Paperback Published: January 1987 |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming |
| Dewey: 519.76 |
| LCCN: 94036844 |
| Series: Classics in Applied Mathematics |
| Physical Information: 0.49" H x 6.09" W x 9" (0.74 lbs) 236 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |