Parametric Interval Algebraic Systems

  • Iwona Skalna

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

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Iwona Skalna
    Pages 1-24
  3. Iwona Skalna
    Pages 25-50
  4. 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, computer graphics, control theory, solving constraint satisfaction problems, and global optimization.


Parametric Interval Algebraic Systems Parametric Interval Linear Systems Parametric Interval Matrices Computational Intelligence Intelligent Systems

Authors and affiliations

  • Iwona Skalna
    • 1
  1. 1.Department of Applied Computer Science, Faculty of ManagementAGH University of Science and TechnologyKrakówPoland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-75186-3
  • Online ISBN 978-3-319-75187-0
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • Buy this book on publisher's site
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