Introduction to Nonlinear and Global Optimization

ISBN-13: 9781461425823 / Angielski / Miękka / 2012 / 208 str.

Eligius M. T. Hendrix; Bogl Rka G. -T Th

Opis

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.

Recenzje

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)

Spis treści

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

Blurb

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’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’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.