<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both. We show that the latter bounds are not provable better, and that they are also sometimes too pessimistic. The presented form of both methods is suitable for combining them into one to get a more efficient algorithm. Some numerical experiments are carried out to illustrate performances of the methods.</p></abstract>

We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both. We show that the latter bounds are not provable better, and that they are also sometimes too pessimistic. The presented form of both methods is suitable for combining them into one to get a more efficient algorithm. Some numerical experiments are carried out to illustrate performances of the methods.

Enclosures for the solution set of parametric interval linear systems

Department of Applied Mathematics, Faculty of Mathematics and Physics Charles University, Malostranské nám. 25, 118 00, Prague, Czech Republic

Faculty of Informatics and Statistics University of Economics, nám. W. Churchilla 4, 13067, Prague, Czech Republic

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Enclosures for the solution set of parametric interval linear systems"}

We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for...

Enclosures for the solution set of parametric interval linear systems

Published Online: Sep 28, 2012

Page range: 561 - 574

DOI: https://doi.org/10.2478/v10006-012-0043-4

Keywords
linear interval systems, solution set, interval matrix

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Enclosures for the solution set of parametric interval linear systems

Published Online: Sep 28, 2012

Page range: 561 - 574

DOI: https://doi.org/10.2478/v10006-012-0043-4

Keywordslinear interval systems, solution set, interval matrix

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
linear interval systems, solution set, interval matrix