Introduction to Nonlinear and Global Optimization

This self-contained text provides a solid introduction to global and nonlinear optimization, providing students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. The book offers a unique hands-on and critical approach to applied optimization w...

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Bibliographic Details
Main Authors: Hendrix, Eligius M.T. (Author), G.-Tt̤h, Boglr̀ka. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: New York, NY : Springer New York, 2010.
Series:Springer Optimization and Its Applications, 37
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-88670-1
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505 0 # |a Preface -- 1. Introduction -- 2. Mathematical Modeling, Cases -- 3. NLP Optimality Conditions -- 4. Goodness of Optimization Algorithms -- 5. Nonlinear Programming Algorithms -- 6. Deterministic GO Algorithms -- 7. Stochastic GO Algorithms -- References -- Index. 
520 # # |a This self-contained text provides a solid introduction to global and nonlinear optimization, providing students of mathematics and interdisciplinary sciences with a strong foundation in applied optimization techniques. The book offers a unique hands-on and critical approach to applied optimization which includes the presentation of numerous algorithms, examples, and illustrations, designed to improve the reader<U+0019>s intuition and develop the analytical skills needed to identify optimization problems, classify the structure of a model, and determine whether a solution fulfills optimality conditions. Key features of "Introduction to Nonlinear and Global Optimization": - Offers insights into relevant concepts such as "regions of attraction", "branch-and-bound", and "cross-cutting" methods as well as many other useful methodologies. -Exhibits numerical examples and exercises developing the reader<U+0019>s familiarity with the terminology and algorithms that are frequently encountered in scientific literature. - Presents various heuristic and stochastic optimization techniques demonstrating how each be applied to a variety of models from biology, engineering, finance, chemistry, and economics. This book is intended to serve as a primary text in an advanced undergraduate or graduate course focusing on nonlinear and global optimization and requires an understanding of basic calculus and linear algebra. 
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