Skew Box Enclosure for the Parametric AE Solution Set

Authors

  • Evgenija Dimitrova Popova Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

DOI:

https://doi.org/10.11145/129

Abstract


In this talk we present a outer estimate of the parametric AE
solution set by right-preconditioning of the parametric matrix.
The obtained outer estimate is in the form of a parallepiped,
called skew box. A right-preconditioning version of the
parametric Bauer-Skeel method for outer estimation of the
parametric AE solution set will be presented. In the special case
of parametric united solution set a right-preconditioning version
of the parametric fixed-point iteration will be outlined. The
properties and the usefulness of the new outer estimation will be discussed on a number of numerical examples.


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Published

2013-04-27

Issue

Section

Conference Contributions