Linear and Nonlinear Programming - David G. Luenberger, Yinyu Ye

Linear and Nonlinear Programming

Buch | Softcover
546 Seiten
2010 | Softcover reprint of hardcover 3rd ed. 2008
Springer-Verlag New York Inc.
978-1-4419-4504-4 (ISBN)
85,59 inkl. MwSt
"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.

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.

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.

Erscheint lt. Verlag 19.11.2010
Reihe/Serie International Series in Operations Research Management Science ; 116
Zusatzinfo XIV, 546 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Technik Maschinenbau
Wirtschaft Betriebswirtschaft / Management Logistik / Produktion
Wirtschaft Betriebswirtschaft / Management Unternehmensführung / Management
ISBN-10 1-4419-4504-0 / 1441945040
ISBN-13 978-1-4419-4504-4 / 9781441945044
Zustand Neuware
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