This extensive rigorous texbook, developed through instruction at MIT, focuses on nonlinear and other types of optimization: iterative algorithms for constrained and unconstrained optimization, Lagrange multipliers and duality, large scale problems, and the interface between continuous and discrete optimization. Among its special features, the book: 1) provides extensive coverage of iterative optimization methods within a unifying framework 2) provides a detailed treatment of interior point methods for linear programming 3) covers in depth duality theory from both a variational and a geometrical/convex analysis point of view 4) includes much new material on a number of topics, such as neural network training, discrete-time optimal control, and large-scale optimization 5) includes a large number of examples and exercises detailed solutions of many of which are posted on the internet Much supplementary/support material can be found at the book's web page
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Editorial Reviews
Review
"This book contains a wealth of material... Throughout this book, well-prepared graphics illustrate ideas and results. The text contains many examples and each section is followed by a set of nice exercises." --M. Heinkenschloss, Zentralblatt fur Mathematik, October 2000
"This is a beautifully written book by a prolific author ... who has taken painstaking care in making the presentation extremely lucid ... The style is unhurried and intuitive yet mathematically rigorous." "The numerous figures in the book are extremely well thought out and are used in a very effective way to elucidate the text. The detailed and self-explanatory long captions accompanying each figure are extremely helpful." "The 80 pages constituting the four appendixes serve as a masterfully written introduction to the field of nonlinear programming that can be used as a self-contained monograph. Teachers using this book could easily assign these appendixes as introductory or remedial material." --Review by Olvi Mangasarian, Optima, March 1997
"This is a beautifully written book by a prolific author ... who has taken painstaking care in making the presentation extremely lucid ... The style is unhurried and intuitive yet mathematically rigorous." "The numerous figures in the book are extremely well thought out and are used in a very effective way to elucidate the text. The detailed and self-explanatory long captions accompanying each figure are extremely helpful." "The 80 pages constituting the four appendixes serve as a masterfully written introduction to the field of nonlinear programming that can be used as a self-contained monograph. Teachers using this book could easily assign these appendixes as introductory or remedial material." --Review by Olvi Mangasarian, Optima, March 1997
About the Author
Dimitri Bertsekas is Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology, and a member of the National Academy of Engineering. He has researched a broad variety of subjects from optimization theory, control theory, parallel and distributed computation, systems analysis, and data communication networks. He has written numerous papers in each of these areas, and he has authored or coauthored thirteen textbooks.
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Most Helpful Customer Reviews
15 of 21 people found the following review helpful:
5.0 out of 5 stars
Why do you need to pay attention to Bertsekas collection ?,
By
This review is from: Nonlinear Programming (Hardcover)
The study of optimization is not an easy task. Several books, different levels, some books only addressing theory, some books emphasizing algorithms and a few addressing modelling.
When you read scientific papers, eventually you will convince yourself of the necessity to know some more "advanced" results (Lagrange, Duality and even non-differentiable optimization) that are not well explained on introductory operational research books. Up to date, with solutions avaliable for download at Bertsekas' homepage.
1 of 3 people found the following review helpful:
5.0 out of 5 stars
very good book in optimization,
By
This review is from: Nonlinear Programming (Hardcover)
This book explains the duality theory very well. It also covers various numerical methods. People who never have background in optimization can start the subject from this book. The exercises were collected from recent papers, so they are common problems that you might encounter in your research.
15 of 39 people found the following review helpful:
2.0 out of 5 stars
Does NOT deserver its reputation,
This review is from: Nonlinear Programming (Hardcover)
I don't know why this book has so much popularity so far. It is
NOT conscise, it is NOT well typesetted and the overall style is very confusing! I would recommend another book Convex Optimization by Boyd
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