In this paper, we give a necessary and sufficient condition for the powers of an interval matrix to be nilpotent. We show an interval matrix $\it{\bf{A}}$ is nilpotent if and only if $ \rho(\mathscr{B})=0 $, where $\mathop{\mathscr{B}} $ is a point matrix, introduced by Mayer (Linear Algebra Appl. 58 (1984) 201-216), constructed by the $ (*) $ property. We observed that the spectral radius, determinant, and trace of a nilpotent interval matrix equal zero but in general its converse is not true. Some properties of nonnegative nilpotent interval matrices are derived. We also show that an irreducible interval matrix $\bf{A}$ is nilpotent if and only if $ | \bf{A} | $ is nilpotent.
Golpar raboky, E., & Eftekhari, T. (2019). On nilpotent interval matrices. Journal of Mathematical Modeling, 7(2), 251-261. doi: 10.22124/jmm.2019.12669.1239
Golpar raboky, E., Eftekhari, T. (2019). 'On nilpotent interval matrices', Journal of Mathematical Modeling, 7(2), pp. 251-261. doi: 10.22124/jmm.2019.12669.1239
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Golpar raboky, E., Eftekhari, T. On nilpotent interval matrices. Journal of Mathematical Modeling, 2019; 7(2): 251-261. doi: 10.22124/jmm.2019.12669.1239
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