Necessary and sufficient conditions for the regularity of an interval matrix

M. Yousef Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

M.B.M. Elgindi Department of Mathematics, University of Wisconsin-Em Claire, Eau Claire, WI, 54702-4004, USA

M.A. El-gebility Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

Abstract

Verifiable necessary and sufficient conditions for regularity of an interval matrix are given. Based on these conditions an algorithm for checking the regularity of interval matrices is developed. It is shown that this algorithm can be modified to determine the stability of a class of interval matrices.

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Necessary and sufficient conditions for the regularity of an interval matrix

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Necessary and sufficient conditions for the regularity of an interval matrix

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