Nonlinear Programming

Author: Peter Zörnig
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110372517
Size: 11.48 MB
Format: PDF, ePub, Docs
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Nonlinear Programming from the Author: Peter Zörnig. This book is an introduction to nonlinear programming, written for students from the fields of applied mathematics, engineering, and economy. It deals with theoretical foundations as well as solution methods, beginning with the classical procedures and reaching up to “modern” methods. Several examples, exercises with detailed solutions and applications are provided, making the text adequate for individual studies.

Introduction To Optimization

Author: Pablo Pedregal
Publisher: Springer Science & Business Media
ISBN: 0387403981
Size: 51.79 MB
Format: PDF, Mobi
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Introduction To Optimization from the Author: Pablo Pedregal. This undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction to linear programming, nonlinear programming, numerical optimization algorithms, variational problems, dynamic programming, and optimal control. Prerequisites have been kept to a minimum, although a basic knowledge of calculus, linear algebra, and differential equations is assumed.

Introduction To Optimization Techniques

Author: Masanao Aoki
Size: 79.12 MB
Format: PDF, Kindle
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Introduction To Optimization Techniques from the Author: Masanao Aoki. Some mathematical preliminaries; Criterion function representation; Location problems; Minimization of unconstrained functions; Minimization of constrained functions; Duality in optimization problems; Comparisons of optimization methods and test problems.

Nonlinear Programming

Author: Mokhtar S. Bazaraa
Publisher: John Wiley & Sons
ISBN: 1118626303
Size: 23.12 MB
Format: PDF, Mobi
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Nonlinear Programming from the Author: Mokhtar S. Bazaraa. COMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED Nonlinear Programming: Theory and Algorithms—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and/or the nonlinearity of any constraints. The Third Edition begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction. Concentration on the three major parts of nonlinear programming is provided: Convex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming Optimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions Algorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems Important features of the Third Edition include: New topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more Updated discussion and new applications in each chapter Detailed numerical examples and graphical illustrations Essential coverage of modeling and formulating nonlinear programs Simple numerical problems Advanced theoretical exercises The book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems.

Linear And Nonlinear Programming

Author: David G. Luenberger
Publisher: Springer Science & Business Media
ISBN: 0387745033
Size: 69.29 MB
Format: PDF, ePub
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Linear And Nonlinear Programming from the Author: David G. Luenberger. This third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area, and will be required reading for analysts and operations researchers in a variety of fields. The book connects the purely analytical character of an optimization problem, and the behavior of algorithms used to solve it. Now, the third edition has been completely updated with recent Optimization Methods. The book also has a new co-author, Yinyu Ye of California’s Stanford University, who has written lots of extra material including some on Interior Point Methods.

Methods Of Mathematical Economics

Author: Joel N. Franklin
Publisher: SIAM
ISBN: 0898715091
Size: 32.24 MB
Format: PDF, ePub
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Methods Of Mathematical Economics from the Author: Joel N. Franklin. Easy-to-read classic, covering Wolfe's method and the Kuhn-Tucker theory.