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Book Cover
E-book
Author Skalna, Iwona, author

Title Parametric Interval Algebraic Systems
Published Springer International Publishing
Cham Springer International Publishing Imprint: Springer, 2018
Online access available from:
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Description 1 online resource (XXIV, 191 pages 26 illustrations)
Series Studies in Computational Intelligence, 1860-949X ; 766
Studies in computational intelligence. 1860-949X ; 766
Contents Introduction -- Interval arithmetic -- Alternative arithmetic -- Interval and parametric interval matrices -- Linear systems -- Methods for solving parametric interval linear systems -- Methods for computing parametric solution -- Parametric interval linear programming problem
Summary 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
Subject Artificial intelligence.
Computational intelligence.
Engineering.
System theory.
Form Electronic book
ISBN 3319751875
9783319751870