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Parametric Interval Algebraic Systems

Authors:

  • Provides a comprehensive overview of the theory related to the problem of solving parametric interval linear systems and investigates the basic properties of parametric interval matrices
  • Presents a framework for solving a general class of linear systems with coefficients being continuous functions of parameters varying within prescribed intervals
  • Includes new algorithms delivering sharp rigorous bounds for the solutions of such systems

Part of the book series: Studies in Computational Intelligence (SCI, volume 766)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xxiv
  2. Interval Arithmetic

    • Iwona Skalna
    Pages 1-24
  3. Alternative Arithmetic

    • Iwona Skalna
    Pages 25-50
  4. Linear Systems

    • Iwona Skalna
    Pages 85-98
  5. Back Matter

    Pages 173-191

About this book

This self-contained book presents a framework for solving a general class of linear systems with coefficients being continuous functions of parameters varying within prescribed intervals. It also provides a comprehensive overview of the theory related to solving parametric interval linear systems and the basic properties of parametric interval matrices. In particular, it develops several new algorithms delivering sharp rigorous bounds for the solutions of such systems with full mathematical rigor. The framework employs the arithmetic of revised affine forms that enables the readers to handle dependent data. The book is intended not only for researchers interested in developing rigorous methods of numerical linear algebra, but also for engineers dealing with problems involving uncertain data. The theory discussed is also useful in various other fields of numerical analysis, in computer graphics, economics, computational geometry, computer-aided design, computer-assisted proofs, computergraphics, control theory, solving constraint satisfaction problems, and global optimization.

Authors and Affiliations

  • Department of Applied Computer Science, Faculty of Management, AGH University of Science and Technology, Kraków, Poland

    Iwona Skalna

Bibliographic Information

  • Book Title: Parametric Interval Algebraic Systems

  • Authors: Iwona Skalna

  • Series Title: Studies in Computational Intelligence

  • DOI: https://doi.org/10.1007/978-3-319-75187-0

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-75186-3Published: 19 February 2018

  • Softcover ISBN: 978-3-319-89287-0Published: 07 June 2019

  • eBook ISBN: 978-3-319-75187-0Published: 09 February 2018

  • Series ISSN: 1860-949X

  • Series E-ISSN: 1860-9503

  • Edition Number: 1

  • Number of Pages: XXIV, 191

  • Number of Illustrations: 26 b/w illustrations

  • Topics: Computational Intelligence, Systems Theory, Control, Artificial Intelligence

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
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