Practical optimization : algorithms and engineering applications

書誌事項

Practical optimization : algorithms and engineering applications

Andreas Antoniou, Wu-Sheng Lu

Springer, c2007

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Practical Optimization: Algorithms and Engineering Applications is a hands-on treatment of the subject of optimization. A comprehensive set of problems and exercises makes the book suitable for use in one or two semesters of a first-year graduate course or an advanced undergraduate course. Each half of the book contains a full semester's worth of complementary yet stand-alone material. The practical orientation of the topics chosen and a wealth of useful examples also make the book suitable for practitioners in the field.

目次

The Optimization Problem.- Basic Principles.- General Properties of Algorithms.- One-Dimensional Optimization.- Basic Multidimensional Gradient Methods.- Conjugate-Direction Methods.- Quasi-Newton Methods.- Minimax Methods.- Applications of Unconstrained Optimization.- Fundamentals of Constrained Optimization.- Linear Programming Part I: The Simplex Method.- Linear Programming Part II: Interior-Point Methods.- Quadratic and Convex Programming.- Semidefinite and Second-Order Cone Programming.- General Nonlinear Optimization Problems.- Applications of Constrained Optimization.

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