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© 2010

Introduction to Nonlinear and Global Optimization

Benefits

  • 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

Textbook

Part of the Springer Optimization and Its Applications book series (SOIA, volume 37)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 1-5
  3. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 7-29
  4. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 31-66
  5. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 67-90
  6. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 91-136
  7. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 137-170
  8. Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 171-198
  9. Back Matter
    Pages 205-208

About this book

Introduction

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.

Keywords

Global Optimization Optimality Conditions Optimization Models SOIA algorithms linear optimization nonlinear optimization optimization

Authors and affiliations

  1. 1., Department of Computer ArchitectureUniversity of MálagaMálagaSpain
  2. 2., Department of Differential EquationsBudapest University of Technology and EcBudapestHungary

Bibliographic information

Industry Sectors
Finance, Business & Banking

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)