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Linear and Nonlinear Programming (International Series in Operations Research & Management Science)
 
 
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Linear and Nonlinear Programming (International Series in Operations Research & Management Science) [Hardcover]

David G. Luenberger (Author), Yinyu Ye (Author)
4.1 out of 5 stars  See all reviews (8 customer reviews)

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Book Description

0387745025 978-0387745022 July 7, 2008 3rd
This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.

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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) --This text refers to an alternate Hardcover edition.

Book Description

2nd edition --This text refers to an out of print or unavailable edition of this title.

Product Details

  • Hardcover: 560 pages
  • Publisher: Springer; 3rd edition (July 7, 2008)
  • Language: English
  • ISBN-10: 0387745025
  • ISBN-13: 978-0387745022
  • Product Dimensions: 9.3 x 6.4 x 1.5 inches
  • Shipping Weight: 2.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Best Sellers Rank: #408,810 in Books (See Top 100 in Books)

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Customer Reviews

8 Reviews
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Average Customer Review
4.1 out of 5 stars (8 customer reviews)
 
 
 
 
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Most Helpful Customer Reviews

32 of 33 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
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.
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21 of 22 people found the following review helpful:
4.0 out of 5 stars Good book , but consider a used copy!, June 13, 2007
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.
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2 of 3 people found the following review helpful:
5.0 out of 5 stars A classic textbook in its second edition, October 21, 2009
This review is from: Linear and Nonlinear Programming (International Series in Operations Research & Management Science) (Hardcover)
This is a classic textbook with many sparklingly original ideas when it was first published in the early seventies. In the new edition the book is brought up to date with material on interior point methods, among others. The book covers both linear and nonlinear programming, and is written with mathematical rigor, but also with simple intuitive language. An excellent entry point to both linear and nonlinear programming.
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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
global convergence theorem, primal methods, northwest corner rule, conjugate direction methods, sensitivity theorem, partial conjugate gradient method, associated restricted primal, convex cutting plane method, expanding subspace theorem, strict relative minimum point, geodesic descent, supporting hyperplane algorithm, relative cost coefficients, simple merit function, projected negative gradient, canonical rate, nonquadratic problems, iteration complexity bound, simplex multipliers, convex simplex method, reduced gradient method, inaccurate line search, dual central path, original constrained problem, basic feasible solution
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Hessian of the Lagrangian, Basic Descent Methods, Duality Theorem, Primal-Dual Methods, Constrained Minimization Conditions, Quasi-Newton Methods, Basic Properties of Linear Programs, Interior-Point Methods, Solution Strategies, Global Convergence of Descent Algorithms, Basis Triangularity Theorem, Implicit Function Theorem, Iteration Steepest, Augmented Lagrangians, Spacer Step Theorem, Master Iteration, The Primal-Dual Algorithm, Interlocking Eigenvalues Lemma
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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