Enclosures for the solution set of parametric interval linear systems

Author:

Hladík Milan12

Affiliation:

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

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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