Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition by David G. Luenberger | (PDF) Free Download

Description

This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve a problem. This was a major theme of the first edition of this book and the fourth edition expands and further illustrates this relationship. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming. The presentation in this part is fairly conventional, covering the main elements of the underlying theory of linear programming, many of the most effective numerical algorithms, and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. This part of the book explores the general properties of algorithms and defines various notions of convergence. Part III extends the concepts developed in the second part to constrained optimization problems. Except for a few isolated sections, this part is also independent of Part I. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities.New to this edition is a chapter devoted to Conic Linear Programming, a powerful generalization of Linear Programming. Indeed, many conic structures are possible and useful in a variety of applications. It must be recognized, however, that conic linear programming is an advanced topic, requiring special study. Another important topic is an accelerated steepest descent method that exhibits superior convergence properties, and for this reason, has become quite popular. The proof of the convergence property for both standard and accelerated steepest descent methods are presented in Chapter 8. As in previous editions, end-of-chapter exercises appear for all chapters.From the reviews of the Third Edition:“… this very well-written book is a classic textbook in Optimization. It should be present in the bookcase of each student, researcher, and specialist from the host of disciplines from which practical optimization applications are drawn.” (Jean-Jacques Strodiot, Zentralblatt MATH, Vol. 1207, 2011)

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Has a typo on BFGS algorithm

⭐Arrived new and exactly as expected. Not the most intuitive notation/easy read but complements well with Convex Optimization by Boyd and Vandenberghe

⭐The book is poor. It includes many topics but enough details are not given, and it lacks explanations and examples.

⭐Great!

⭐I have a grad-level background in mathematics and I do have knowledge in operations research already. I really like the contents of the book which covers most important toptics in LP/CLP and NLP, even including many recently hot topics such as first-order methods, ALMM, and ADMM. Compared with other peer textbooks, this is no doubt an advantage.But in terms of a textbook, in my personal view, it is poorly written. Many proofs are written in a very simple and brief way such that it’s extremely difficult for readers to follow and some of the proofs are mathematically not strict. Some notations are different from today’s popular academic notations. I’ve to refer to several other textbooks to understand some parts.In my opinion, the purpose of a textbook (different from a research paper) is to let readers who do not have knowledge in an area to systematically learn the knowledge. But the authors seem to start from a very high point. It is not really like a textbook, but a “review notes” of these contents from those who are masters in this area. Hence, I think it might be better to use it as a reference for checking the terms/topics and then refer to online materials or other textbooks. I would definitely NOT recommend it as a textbook. For beginners, I would recommend “Nonlinear programming: theory and algorithm” by Bazaraa, Sherali, and Shetty.

⭐An optimization textbook that covers the basics (linear programming, constraints, duality) with extreme detail. It is difficult to read, even with a graduate level background and familiarity with optimization. The math notation is confusing, the text is incredibly dense, and it is written assuming a very high level of mathematical training. There are very few pictures to describe what is going on; the reader is told that certain formulae mean certain things (are ellipses, clearly b separates f and g, …) but the visualization is left to the imagination.The authors seem to have their stuff down but it doesn’t carry over well to the reader, at least in my opinion.

⭐La qualità della stampa è pessima, tutti i Teoremi, Lemmi e Proposizioni sono scritti usando un carattere molto più piccolo di quello in uso nel testo, è la prima volta che mi capita. Devono aver sbagliato qualcosa durante la stampa.Pertanto renderò il libro.

Keywords

Free Download Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition in PDF format
Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition PDF Free Download
Download Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition 2015 PDF Free
Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition 2015 PDF Free Download
Download Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition PDF
Free Download Ebook Linear and Nonlinear Programming (International Series in Operations Research & Management Science Book 228) 4th Edition