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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.
"synopsis" may belong to another edition of 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.
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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Nonlinear Programming
Published by
Society for Industrial and Applied Mathematic, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
Used
Paperback
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Paperback. Condition: Good. No Jacket. Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 0.75. Seller Inventory # G0898713412I3N00
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Nonlinear Programming
Published by
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
New
Softcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
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Nonlinear Programming
Published by
Society for Industrial and Applied Mathematics,U.S., US, 1995
ISBN 10: 0898713412
ISBN 13: 9780898713411
New
Paperback
Seller: Rarewaves.com UK, London, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. 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. Properties of differentiable convex functions are derived and then used in two key chapters of the book, one on optimality conditions for differentiable nonlinear programs and one on duality in nonlinear programming. Generalizations of convex functions to pseudoconvex and quasiconvex functions are given and then used to obtain generalized optimality conditions and duality results in the presence of nonlinear equality constraints.The book has four useful self-contained appendices on vectors and matrices, topological properties of n-dimensional real space, continuity and minimization, and differentiable functions. Seller Inventory # LU-9780898713411
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Nonlinear Programming (Classics in Applied Mathematics)
Published by
Society for Industrial & Applied, 1995
ISBN 10: 0898713412
ISBN 13: 9780898713411
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Nonlinear Programming (Classics in Applied Mathematics)
Published by
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
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Condition: New. 1987. Paperback. . . . . . Seller Inventory # V9780898713411
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Nonlinear Programming
Published by
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
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Nonlinear Programming
Published by
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ISBN 10: 0898713412
ISBN 13: 9780898713411
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Nonlinear Programming
Published by
Society for Industrial & Applied Mathematics, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
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Nonlinear Programming
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Nonlinear Programming
Published by
Society for Industrial and Applied Mathematics, 1987
ISBN 10: 0898713412
ISBN 13: 9780898713411
New
Softcover
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