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Linear and Nonlinear Programming

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ISBN-10: 1402075936

ISBN-13: 9781402075933

Edition: 2nd 2003 (Revised)

Authors: David G. Luenberger

List price: $104.00
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"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 edition of this book and the second edition expands and further…    
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Book details

List price: $104.00
Edition: 2nd
Copyright year: 2003
Publisher: Springer
Publication date: 9/30/2003
Binding: Hardcover
Pages: 492
Size: 6.25" wide x 9.50" long x 1.25" tall
Weight: 1.584
Language: English

Linear Programming
Basic Properties of Linear Programs
The Simplex Method
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
Lagrange Methods
Mathematical Review
Matrix Notation
Eigenvalues and Quadratic Forms
Topological Concepts
Convex Sets
Basic Definitions
Hyperplanes and Polytopes
Separating and Supporting Hyperplanes
Extreme Points
Gaussian Elimination