Nonconvex Optimization and Its Applications

Rigorous Global Search: Continuous Problems

Authors: Kearfott, R. Baker

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About this book

This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology accessible to those who most needed it or could most use it. It is meant to be a self-contained introduction, a reference for the techniques, and a guide to the literature for the underlying theory. It contains pointers to fertile areas for future research. It also serves as introductory documentation for a Fortran 90 software package for nonlinear systems and global optimization. The subject of the monograph is deterministic, automatically verified or r- orous methods. In such methods, directed rounding and computational fix- point theory are combined with exhaustive search (branch and bound) te- niques. Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference. Kno- edge of calculus, linear algebra, and elementary numerical analysis is assumed.

Table of contents (7 chapters)

Buy this book

eBook $169.00
price for USA in USD (gross)
  • ISBN 978-1-4757-2495-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $219.99
price for USA in USD
  • ISBN 978-0-7923-4238-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA in USD
  • ISBN 978-1-4419-4762-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Rigorous Global Search: Continuous Problems
Authors
Series Title
Nonconvex Optimization and Its Applications
Series Volume
13
Copyright
1996
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-2495-0
DOI
10.1007/978-1-4757-2495-0
Hardcover ISBN
978-0-7923-4238-0
Softcover ISBN
978-1-4419-4762-8
Series ISSN
1571-568X
Edition Number
1
Number of Pages
XVI, 264
Topics