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  • Textbook
  • © 2010

Introduction to Nonlinear and Global Optimization

  • 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)

  1. Front Matter

    Pages i-xi
  2. Introduction

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 1-5
  3. Mathematical modeling, cases

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 7-29
  4. NLP optimality conditions

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 31-66
  5. Goodness of optimization algorithms

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 67-90
  6. Nonlinear Programming algorithms

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 91-136
  7. Deterministic GO algorithms

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 137-170
  8. Stochastic GO algorithms

    • Eligius M. T. Hendrix, Boglárka G.-Tóth
    Pages 171-198
  9. Back Matter

    Pages 205-208

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

  • , Department of Computer Architecture, University of Málaga, Málaga, Spain

    Eligius M.T. Hendrix

  • , Department of Differential Equations, Budapest University of Technology and Ec, Budapest, Hungary

    Boglárka G.-Tóth

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access