Parametric Interval Algebraic Systems (Studies in Computational Intelligence Book 766)

"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"--Proporcionat per l'editor Front Matter ....Pages i-xxiv Interval Arithmetic (Iwona Skalna)....Pages 1-24 Alternative Arithmetic (Iwona Skalna)....Pages 25-50 Interval and Parametric Interval Matrices (Iwona Skalna)....Pages 51-83 Linear Systems (Iwona Skalna)....Pages 85-98 Methods for Solving Parametric Interval Linear Systems (Iwona Skalna)....Pages 99-163 Parametric Interval Linear Programming Problem (Iwona Skalna)....Pages 165-172 Back Matter ....Pages 173-191