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Linear and nonlinear programming
Linear and nonlinear programming
Fractal modelling, growth and form in biology
1984
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. Again a connection between the purely analytical character of an optimization problem and the behavior of algorithms used to solve the problem. As in the earlier editions, the material in this fourth edition is organized into three separate parts. Part I is a self-contained introduction to linear programming covering numerical algorithms and many of its important special applications. Part II, which is independent of Part I, covers the theory of unconstrained optimization, including both derivations of the appropriate optimality conditions and an introduction to basic algorithms. Part III extends the concepts developed in the second part to constrained optimization problems. It is possible to go directly into Parts II and III omitting Part I, and, in fact, the book has been used in this way in many universities. New to this edition is a chapter devoted to Conic Linear Programming, a powerful generalization of Linear Programming. Indeed, many conic structures are possible and useful in a variety of applications. It must be recognized, however, that conic linear programming is an advanced topic, requiring special study. Other important and popular topics include (1) an accelerated steepest descent method that exhibits superior convergence properties and (2) the alternating direction method with multipliers (ADMM) that can be implemented distributionally. The proof of the convergence property for both standard and accelerated steepest descent methods are presented in Chapter 8, and the analysis of ADMM in Chapter 14 as a dual method. As in previous editions, end-of-chapter exercises appear for most chapters. From the reviews of the Third Edition “….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)
Ye, Yinyu)
Ye
Yinyu
Luenberger, David G. (1937-....)
Luenberger
David G.
Economics
Business.
Engineering economy
Operations research
Decision making.
Mathematical models.
Management science.
Engineering economics.
Mathematical optimization
Production engineering
Industrial engineering
Mathematics
Linear programming
Nonlinear programming
Programación lineal
Programación no lineal
Algorithmes
Points intérieurs, Méthodes des
Programmation linéaire
Programmation non linéaire
Economics/Management Science
Business and Management.
Operation Research/Decision Theory
Operations Research, Management Science
Mathematical Modeling and Industrial Mathematics
Engineering Economics, Organization, Logistics, Marketing
Operations Research/Decision Theory
Operations Research, Mathematical Programming
Optimization
Industrial and Production Engineering
Mathematics
Linear and nonlinear programming / David G. Luenberger / Second edition / Boston : Kluwer Academic Publ. , 2003
Linear and Nonlinear Programming / by David G. Luenberger, Yinyu Ye. / 4th ed. 2016. / Cham : Springer International Publishing , 2016
Linear and nonlinear programming / David G. Luenberger, Yinyu Ye / 4th edition / Cham : Springer
Linear and nonlinear programming / David G. Luenberger, Yinyu Ye / 5th edition / Cham : Springer
Linear and nonlinear programming / David G. Luenberger, Yinyu Ye / 3ème éd. / New York : Springer , cop. 2010
Linear and Nonlinear Programming / David G. Luenberger,... Yinyu Ye,... / Version électronique de la troisième édition / New York, NY : Springer US
Linear and nonlinear programming / David G. Luenberger,... Yinyu Ye,... / 3rd edition / New York : Springer
Linear and nonlinear programming / David G. Luenberger,.. / 2nd edition / Reading : Addison-Wesley , cop. 1984
Linear and nonlinear programming / David G. Luenberger,... / 2nd edition / Boston : Springer , 2003
Linear and nonlinear programming / David G. Luenberger, Yinyu Ye / 5th edition / Cham, Switzerland : Springer