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Linear and Nonlinear Programming, Second Edition
 
 
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Linear and Nonlinear Programming, Second Edition [Hardcover]

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

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Linear and Nonlinear Programming (International Series in Operations Research & Management Science) Linear and Nonlinear Programming (International Series in Operations Research & Management Science) 4.1 out of 5 stars (8)
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Book Description

September 30, 2003 1402075936 978-1402075933 2nd
The original edition of this book was celebrated for its coverage of the central concepts of practical optimization techniques. This updated edition expands and illuminates the connection between the purely analytical character of an optimization problem, expressed by properties of the necessary conditions, and the behavior of algorithms used to solve a problem. Incorporating modern theoretical insights, this classic text is even more useful.

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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)

Book Description

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

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: 4.1 out of 5 stars  See all reviews (8 customer reviews)
  • Amazon Best Sellers Rank: #893,705 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
This review is from: Linear and Nonlinear Programming, Second Edition (Hardcover)
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 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)
associated restricted primal, partial conjugate gradient method, expanding subspace theorem, geodesic descent, negative relative cost coefficient, relative cost coefficients, nonquadratic problems, supporting hyperplane algorithm, simple merit function, canonical rate, projected negative gradient, convex simplex method, maximal flow algorithm, relative minimum point, simplex multipliers, reduced gradient method, degenerate basic solution, global convergence theorem, basic feasible solution, original constrained problem, maximal flow problem, gradient projection method, descent function, revised simplex method, active set method
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Duality Theorem, Northwest Corner Rule, Conjugate Gradient Theorem, Iteration Steepest, Reduction of Linear Inequalities, Basis Triangularity Theorem, Implicit Function Theorem, Master Iteration, Sensitivity Theorem, Spacer Step Theorem, Yin Ylo
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