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Nonlinear Programming: 10 (Classics in Applied Mathematics, Series Number 10) - Softcover

 
9780898713411: Nonlinear Programming: 10 (Classics in Applied Mathematics, Series Number 10)

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A concise, rigorous, yet accessible, account of the fundamentals of constrained optimization theory.

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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.

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.

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ISBN 10: 0898713412 ISBN 13: 9780898713411
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Condition: New. InhaltsverzeichnisPreface to the Classic Edition 1. The Nonlinear Programming Problem, Preliminary Concepts, and Notation 2. Linear Inequalities and Theorems of the Alternative 3. Convex Sets in Rn 4. Convex and Concave Functions 5. Seller Inventory # 898975772

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