Linear and Nonlinear Programming

Author:   David G. Luenberger ,  Yinyu Ye
Publisher:   Springer-Verlag New York Inc.
Edition:   3rd ed. 2008
Volume:   116
ISBN:  

9780387745022


Pages:   546
Publication Date:   07 July 2008
Replaced By:   9783319188416
Format:   Hardback
Availability:   Out of print, replaced by POD   Availability explained
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Linear and Nonlinear Programming


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Overview

"""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."

Full Product Details

Author:   David G. Luenberger ,  Yinyu Ye
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   3rd ed. 2008
Volume:   116
Dimensions:   Width: 15.60cm , Height: 3.10cm , Length: 23.50cm
Weight:   2.120kg
ISBN:  

9780387745022


ISBN 10:   0387745025
Pages:   546
Publication Date:   07 July 2008
Audience:   Professional and scholarly ,  Professional & Vocational
Replaced By:   9783319188416
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

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.

Reviews

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)


Author Information

"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."

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