Applied Optimization

Applications of Interval Computations

Editors: Kearfott, R. Baker, Kreinovich, V. (Eds.)

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About this book

Primary Audience for the Book • Specialists in numerical computations who are interested in algorithms with automatic result verification. • Engineers, scientists, and practitioners who desire results with automatic verification and who would therefore benefit from the experience of suc­ cessful applications. • Students in applied mathematics and computer science who want to learn these methods. Goal Of the Book This book contains surveys of applications of interval computations, i. e. , appli­ cations of numerical methods with automatic result verification, that were pre­ sented at an international workshop on the subject in EI Paso, Texas, February 23-25, 1995. The purpose of this book is to disseminate detailed and surveyed information about existing and potential applications of this new growing field. Brief Description of the Papers At the most fundamental level, interval arithmetic operations work with sets: The result of a single arithmetic operation is the set of all possible results as the operands range over the domain. For example, [0. 9,1. 1] + [2. 9,3. 1] = [3. 8,4. 2], where [3. 8,4. 2] = {x + ylx E [0. 9,1. 1] and y E [3. 8,4. 2]}. The power of interval arithmetic comes from the fact that (i) the elementary operations and standard functions can be computed for intervals with formulas and subroutines; and (ii) directed roundings can be used, so that the images of these operations (e. g.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Applications of Interval Computations: An Introduction

    Pages 1-22

    Kearfott, R. Baker (et al.)

  • A Review of Techniques in the Verified Solution of Constrained Global Optimization Problems

    Pages 23-59

    Kearfott, R. Baker

  • The Shape of the Symmetric Solution Set

    Pages 61-79

    Alefeld, Götz (et al.)

  • Linear Interval Equations: Computing Enclosures with Bounded Relative Overestimation is NP-Hard

    Pages 81-89

    Rohn, Jiří

  • Quality Improvement via Optimization of Tolerance Intervals During the Design Stage

    Pages 91-131

    Hadjihassan, Sevgui (et al.)

Buy this book

eBook $169.00
price for USA in USD
  • ISBN 978-1-4613-3440-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $329.00
price for USA in USD
  • ISBN 978-0-7923-3847-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $219.99
price for USA in USD
  • ISBN 978-1-4613-3442-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Applications of Interval Computations
Editors
  • R. Baker Kearfott
  • V. Kreinovich
Series Title
Applied Optimization
Series Volume
3
Copyright
1996
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4613-3440-8
DOI
10.1007/978-1-4613-3440-8
Hardcover ISBN
978-0-7923-3847-5
Softcover ISBN
978-1-4613-3442-2
Series ISSN
1384-6485
Edition Number
1
Number of Pages
XVIII, 428
Topics