David G. Luenberger, Yinyu Ye

Linear and Nonlinear Programming (eBook, PDF)

• Format: PDF

Produktbeschreibung

"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. 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. The book will be useful to analysts, operations researchers and management experts in many fields.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 546
• Erscheinungstermin: 20. Juni 2008
• Englisch
• ISBN-13: 9780387745039
• Artikelnr.: 43727878

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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)