Parametric Interval Algebraic Systems: 766 (Studies in Computational Intelligence, 766) - Softcover

Book 272 of 538: Studies in Computational Intelligence

Skalna, Iwona

 
9783319892870: Parametric Interval Algebraic Systems: 766 (Studies in Computational Intelligence, 766)
Softcover
ISBN 10: 3319892878 ISBN 13: 9783319892870
Publisher: Springer, 2019

Synopsis

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, computergraphics, control theory, solving constraint satisfaction problems, and global optimization.

"synopsis" may belong to another edition of this title.

From the Back Cover

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, computergraphics, control theory, solving constraint satisfaction problems, and global optimization.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2019
Language
English
ISBN 10 
3319892878
ISBN 13 
9783319892870
Binding
Paperback
Number of pages
215

Other Popular Editions of the Same Title

9783319751863: Parametric Interval Algebraic Systems: 766 (Studies in Computational Intelligence, 766)

Featured Edition

ISBN 10:  3319751867 ISBN 13:  9783319751863
Publisher: Springer, 2018
Hardcover