SpringerBriefs in Optimization

Introduction to Global Optimization Exploiting Space-Filling Curves

Authors: Sergeyev, Yaroslav D., Strongin, Roman G., Lera, Daniela

  • ​ ​Presents new efficient methods for solving an important practical problem in the field of space-filling curves
  • Starting point for developing new methods
  • Contains a code for implementing space-filling curves that can be used in global optimization algorithms
  • Describes both stochastic and deterministic methods​ 
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About this book

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.  The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computations can be organized. Professors, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful .  ​

Reviews

“This book is an excellent introduction to global optimization methods based on space-filling curves. The very useful content and engaging style of presentation make it a pleasant, interesting, and valuable read, and I enthusiastically recommend it to anyone interested in optimization.” (Sergiy Butenko, SIAM Review, Vol. 57 (1), March, 2015)

“The book gives an introduction to the subject and describes a number of non-trivial algorithms combining sophisticated ideas of pure mathematics with numerical methods. … this is an excellent book written by the world-leading authorities in the field of global optimization. The book nicely describes powerful ideas and algorithms, which could certainly be very useful to anybody working in numerical global optimization.” (Anatoly Zhigljavsky, Journal of Global Optimization, Vol. 60, 2014)


Table of contents (5 chapters)

  • Introduction

    Sergeyev, Yaroslav D. (et al.)

    Pages 1-8

  • Approximations to Peano Curves: Algorithms and Software

    Sergeyev, Yaroslav D. (et al.)

    Pages 9-46

  • Global Optimization Algorithms Using Curves to Reduce Dimensionality of the Problem

    Sergeyev, Yaroslav D. (et al.)

    Pages 47-89

  • Ideas for Acceleration

    Sergeyev, Yaroslav D. (et al.)

    Pages 91-116

  • A Brief Conclusion

    Sergeyev, Yaroslav D. (et al.)

    Pages 117-118

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-8042-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-1-4614-8041-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Global Optimization Exploiting Space-Filling Curves
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera
eBook ISBN
978-1-4614-8042-6
DOI
10.1007/978-1-4614-8042-6
Softcover ISBN
978-1-4614-8041-9
Series ISSN
2190-8354
Edition Number
1
Number of Pages
X, 125
Number of Illustrations and Tables
2 b/w illustrations, 30 illustrations in colour
Topics