Linear and. Nonlinear. Programming. International Series in. Operations Research & Management Science. David G. Luenberger. Yinyu Ye. Fourth Edition. 1 Introduction. 1. Optimization. 1. Types of Problems. 2. Size of Problems. 5. Iterative Algorithms and Convergence. 6. Part I Linear Programming. 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.
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Yinyu Ye (Author of Linear and Nonlinear Programming)
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 lurnberger 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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Linear and Nonlinear Programming – David G. Luenberger, Yinyu Ye – Google Books
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 nonlunear 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 and second editions.
Linear and Nonlinear Programming
Now the third edition has been completely updated with recent Optimization Methods. Yinyu Ye has written chapters and chapter material on a number of these areas including Interior Point Methods. This book 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.
Table of contents Linear Programming.
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Review Text From the reviews of the third edition: It should be present in the bookcase of each student, researcher, progrxmming specialist from the host of disciplines from which practical optimization applications are drawn. Review quote From the reviews of the third edition: Luenberger has directed much of his career toward teaching “portable concepts” – organizing theory around concepts and actually “porting” the concepts to applications where, in the process, the general concepts are often discovered.
The search for fundamentals has explicitly directed his research in the fields of control, optimization, planning, economics, and investments, and in turn, it is the discovery of these fundamentals that have motivated his textbook writing projects.
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