Description 
1 online resource (XXIV, 191 pages 26 illustrations) 
Series 
Studies in Computational Intelligence, 1860949X ; 766 

Studies in computational intelligence. 1860949X ; 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 selfcontained 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, computeraided design, computerassisted 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 
