Nonlinear optimization : methods and applications
著者
書誌事項
Nonlinear optimization : methods and applications
(International series in operations research & management science, v. 282)
Springer, c2019
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book provides a comprehensive introduction to nonlinear programming, featuring a broad range of applications and solution methods in the field of continuous optimization. It begins with a summary of classical results on unconstrained optimization, followed by a wealth of applications from a diverse mix of fields, e.g. location analysis, traffic planning, and water quality management, to name but a few. In turn, the book presents a formal description of optimality conditions, followed by an in-depth discussion of the main solution techniques. Each method is formally described, and then fully solved using a numerical example.
目次
Introduction.- Unconstrained Optimization.- Applications of Nonlinear Programming.- Optimality Conditions and Duality Theory.- General Solution Methods for Constrained Optimization.- Methods for Linearly Constrained Problems.- Methods for Nonlinearly Constrained Problems.- Geometric Programming.
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