Parametric Interval Algebraic Systems / by Iwona Skalna.

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Parametric Interval Algebraic Systems / by Iwona Skalna.

9783319751870
3319751875
9783319751863
3319751867

Cham : Springer International Publishing : Imprint : Springer, 2018.

English

1 online resource (xxiv, 191 pages) : illustrations.

10.1007/978-3-319-75187-0 doi

Q342

006.3

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.

Includes bibliographical references and index.

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Studies in computational intelligence ; 766.

Print version: 9783319751863

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