Linear and Nonlinear Programming, Second Edition (Hardcover)

by David G. Luenberger (Author)
Key Phrases: associated restricted primal, partial conjugate gradient method, expanding subspace theorem, Duality Theorem, Northwest Corner Rule, Conjugate Gradient Theorem (more...)

Editorial Reviews

Review
From the reviews of the second edition: "I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from mathematicians for mathematicians. Hence it is quite hard for engineers to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way." (Giorgio Azvaris, Turin, Italy) "I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today. A book is not made obsolete because some new "elegant" terms arise." (A reader from Greece) "In this second edition … David Luenberger focuses on practical optimization techniques. … the book would be appropriate for graduate students or for self-study by professionals. … I recommend the book for those who are familiar with elements of linear algebra … . The book concludes with three short appendices … and a bibliography and a short index. … is intended for those who want to look deeply into optimization techniques, linear and nonlinear. … will be useful to researchers, engineers, and graduate students." (Sergio Ubeda, Interfaces, Vol. 37 (1), 2007)

Product Description
Linear and Nonlinear Programming is considered a classic textbook in Optimization. While it is a classic, it also reflects modern theoretical insights. These insights provide structure to what might otherwise be simply a collection of techniques and results, and this is valuable both as a means for learning existing material and for developing new results. One major insight of this type is the connection between the purely analytical character of an optimization problem, expressed perhaps by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. This was a major theme of the first edition of this book and the second edition expands and further illustrates this relationship. Linear and Nonlinear Programming covers the central concepts of practical optimization techniques. It is designed for either self-study by professionals or classroom work at the undergraduate or graduate level for technical students. Like the field of optimization itself, which involves many classical disciplines, the book should be useful to system analysts, operations researchers, numerical analysts, management scientists, and other specialists from the host of disciplines from which practical optimization applications are drawn.

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Product Details

• Hardcover: 516 pages
• Publisher: Springer; 2nd edition (September 30, 2003)
• Language: English
• ISBN-10: 1402075936
• ISBN-13: 978-1402075933
• Product Dimensions: 9.8 x 6.3 x 1.2 inches
• Shipping Weight: 1.9 pounds (View shipping rates and policies)
• Average Customer Review: 3.8 out of 5 stars See all reviews (5 customer reviews)
• Amazon.com Sales Rank: #761,570 in Books (See Bestsellers in Books)

Customer Reviews

Most Helpful Customer Reviews

26 of 27 people found the following review helpful:

5.0 out of 5 stars A book on mathematics that also an engineer can read, November 24, 1999

By	Giorgio Zavarise (Turin, Italy) - See all my reviews

This review is from: Linear and Nonlinear Programming (Hardcover)

I have profitably used the book to apply constrained minimization procedures in the field of computational contact mechanics. I think it is not a secret that quite often books on mathematics are written from matematicians for matematicians. Hence it is quite hard for engineers both to read and to extract valuable information from them. With this respect this book is a shining star. It presents the topics in a very precise but clear and understandable way. Moreover the notation also is the best compromise between coinciseness and clarity. Matematicians, please, look at this book and follow such style; we engineer desperately need to communicate with you.

7 of 8 people found the following review helpful:

4.0 out of 5 stars Good book , but consider a used copy!, June 13, 2007

By	kelly londry "computational dynamics & virtua... (Ann Arbor, Michigan) - See all my reviews (REAL NAME)

Luenberger's optimization book is very good and well worth having. However, it should be noted that the "new" 2004 edition published by Springer-Verlag is nothing more than an exact reprint of the 1984 2nd edition that was formerly published by Addison-Wesley. Accordingly, a good used copy may be more worthwhile than an overpriced "new" one.

This is the fourth such case I have come across wherein a publisher chooses to engage in such misleading marketing practices. The other three are "Engineering Optimization - Methods and Applications" by Reklaitis (1983), "Hydraulic Control Systems" by Merrit (1967), and "Dynamic Systems" also by Luenberger (1979). All three are now being sold as new publications by Wiley (according to Amazon). I suspect there are many other examples as well.

9 of 16 people found the following review helpful:

5.0 out of 5 stars A necessary book for all who want to read and learn!, August 2, 1999

By A Customer

This review is from: Linear and Nonlinear Programming (Hardcover)

I have the 1977 edition from my father's MIT days. I am a Mathematician and I can verify that the book written in 1977 is of the same style that good books have today! A book is not made obsolete because some new "elegant" terms arise. Ok Luenberger did not know about Interior Point Algorithms and to tell you the truth why should he? I do not know other editions but in the first edition in chapter 7 "Basic Descent Methods" everyone who is able to read clearly and unbiased the second paragraph will agree with me that Interion Point Algorithms IS NOTHING NEW in the theory of MATHEMATICS!!! What you need to know ,the magic, is in the chapters 7-11. From there you can read everything else you like and get in touch with what is about to come in the next 25 years(See Ye : "Interion Point Algorithms"). But remember you are already in stars before reading the new books...