Interval solutions for interval algebraic equations

B.T. Polyak and S.A. Nazin

Mathematics and Computers in Simulation (MATCOM), 2004, vol. 66, issue 2, 207-217

Abstract: In the framework of interval uncertainty, a well-known classical problem in numerical analysis is considered, namely, to find “the best” interval solution for interval system of linear algebraic equations. This problem is known to be NP-hard and can be solved via multiple linear programming. In present paper, a simple approach is proposed for some particular models of interval uncertainty. This method gives an optimal interval solution without linear programming and is tractable for moderate-size problems. For large-scale problems an effective overbounding technique is developed.

Keywords: Interval bounding; Interval solution; Linear interval equations; Solution set (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:66:y:2004:i:2:p:207-217

DOI: 10.1016/j.matcom.2003.11.006

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