Linear and Nonlinear Programming

Name: Linear and Nonlinear Programming
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ISBN: 9781441945044

David G. Luenberger, Yinyu Ye

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English

Springer-Verlag New York Inc.
19 November 2010

Management decision making; Operational research; Optimisation; Mathematical modelling; Maths for engineers

Series: International Series in Operations Research & Management Science

""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 and second editions. Now the third edition has been completely updated with recent Optimization Methods. The new co-author, Yinyu Ye, has written chapters and chapter material on a number of these areas including Interior Point Methods.

By: David G. Luenberger, Yinyu Ye
Imprint: Springer-Verlag New York Inc.
Country of Publication: United States
Edition: Softcover reprint of hardcover 3rd ed. 2008
Volume: 116
Dimensions: Height: 235mm, Width: 155mm, Spine: 29mm
Weight: 854g
ISBN: 9781441945044
ISBN 10: 1441945040
Series: International Series in Operations Research & Management Science
Pages: 546
Publication Date: 19 November 2010
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Linear Programming.- Basic Properties of Linear Programs.- The Simplex Method.- Duality.- Interior-Point Methods.- Transportation and Network Flow Problems.- Unconstrained Problems.- Basic Properties of Solutions and Algorithms.- Basic Descent Methods.- Conjugate Direction Methods.- Quasi-Newton Methods.- Constrained Minimization.- Constrained Minimization Conditions.- Primal Methods.- Penalty and Barrier Methods.- Dual and Cutting Plane Methods.- Primal-Dual Methods.

David G. 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.

Reviews for Linear and Nonlinear Programming

From the reviews of the third edition: The aim of this book is to present the central concepts of optimization techniques. ... the material in this new edition is organized into three separate parts. ... 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)