Parametric interval algebraic systems /
By: Skalna, Iwona
Material type:
BookSeries: Studies in computational intelligence ; 766.Publisher: Cham : Springer, c2018.Description: xxiv, 191 p. : ill. ; 26 cm.ISBN: 9783319751863Subject(s): Engineering | Artificial intelligence | Computational intelligenceDDC classification: 006.3 SK PA Online resources: Location Map | Item type | Home library | Call number | Status | Notes | Date due | Barcode | Item holds |
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| REGULAR | University of Wollongong in Dubai Main Collection | 006.3 SK PA (Browse shelf) | Available | Oct2018 | T0059514 |
, Shelving location: Main Collection Close shelf browser
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| 006.3 SH AD Advanced artificial intelligence | 006.3 SI PE Pervasive computing : | 006.3 SK BU Building neural networks / | 006.3 SK PA Parametric interval algebraic systems / | 006.3 SU IN Internet economy vs classic economy : | 006.3 TA AR Artificial intelligence basics : | 006.3 WI DA Data mining : |
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.
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.