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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.
List of contents
Mathematical modeling, cases.- NLP optimality conditions.- Goodness of optimization algorithms.- Nonlinear Programming algorithms.- Deterministic GO algorithms.- Stochastic GO algorithms.
Summary
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.
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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)
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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)
