ENGLISH

Nonlinear programming

By Olvi L. Mangasarian

Book information

Publisher
Society for Industrial and Applied Mathematics
Year
1987
ISBN
9780898713411, 0898713412
LCC
T57.8 .M34 1994
Open Library ID
OL1111054M
Language
english
Format
DJVU
Filesize
1 MB (1388799 bytes)
Series
Classics in applied mathematics 10
Pages
239\239
Time added
2009-08-06 05:14:26

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.

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