Abstract
This paper is concerned with a tolerance problem for an interval linear system A x = b requiring inner estimation of the admissible solution set {x ∈ ℝn | (∀A ∈ A)(Ax ∈ b)} formed by vectors x for which the product Ax remains within b for any possible A ∈ A. Methods for verifying the emptiness and nonemptiness of admissible solution sets are developed. Formulas for the dimensions of the interval solution of a tolerance problem with known center are derived.
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Shary, S.P. An Interval Linear Tolerance Problem. Automation and Remote Control 65, 1653–1666 (2004). https://doi.org/10.1023/B:AURC.0000044274.25098.da
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DOI: https://doi.org/10.1023/B:AURC.0000044274.25098.da