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How Strong Is Strong Regularity?

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Reliable Computing

Abstract

We compare the notions of regularity and strong regularity of interval matrices. For an n × n interval matrix A we construct 2n open convex cones, all of them lying in the interior of the nonnegative orthant. It is shown that regularity of A is characterized by nonemptiness of all these cones, whereas strong regularity is characterized by nonemptiness of their intersection.

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Correspondence to Jiří Rohn.

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Rohn, J. How Strong Is Strong Regularity?. Reliable Comput 11, 491–493 (2005). https://doi.org/10.1007/s11155-005-0407-7

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  • DOI: https://doi.org/10.1007/s11155-005-0407-7

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