Overview
- Can serve as both a graduate and undergraduate text in courses focusing on numerical optimization methods
- Focuses on problems relating to "region of attraction" and "branch and bound"
- Contains several instructional numerical examples and excercises providing the reader with working knowledge of the material
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 37)
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Table of contents (7 chapters)
Keywords
About this book
Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions. Within this subject, Global Optimization aims at finding global optima for difficult problems in which many local optima might exist.
This book provides a compelling introduction to global and non-linear optimization providing interdisciplinary readers with a strong background to continue their studies into these and other related fields. The book offers insight in relevant concepts such as "region of attraction" and "Branch-and-Bound" by elaborating small numerical examples and exercises for the reader to follow.
Reviews
From the reviews:
“At just over 200 pages, this book provides a concise introduction to many of the important ideas in nonlinear and global optimization. These ideas are well illustrated with many small scale computational examples. … This textbook may be of interest to instructors who want to introduce global optimization in a first course and focus on basic concepts and algorithms … .” (Brain Borchers, The Mathematical Association of America, September, 2010)Authors and Affiliations
Bibliographic Information
Book Title: Introduction to Nonlinear and Global Optimization
Authors: Eligius M.T. Hendrix, Boglárka G.-Tóth
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-0-387-88670-1
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-0-387-88669-5Published: 12 April 2010
Softcover ISBN: 978-1-4614-2582-3Published: 01 June 2012
eBook ISBN: 978-0-387-88670-1Published: 27 April 2010
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XI, 208
Topics: Mathematical Modeling and Industrial Mathematics, Numerical Analysis, Calculus of Variations and Optimal Control; Optimization, Operations Research, Management Science, Differential Geometry