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- W2014406936 abstract "We establish the eigenvalue interlacing property (i.e. the smallest real eigenvalue of a matrix is less than the smallest real eigenvalue of any of its principal submatrices) for the class of matrices introduced by Kotelyansky (all principal and almost principal minors of these matrices are positive). We show that certain generalizations of Kotelyansky and totally positive matrices possess this property. We also prove some interlacing inequalities for the other eigenvalues of Kotelyansky matrices." @default.
- W2014406936 created "2016-06-24" @default.
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- W2014406936 date "2013-10-01" @default.
- W2014406936 modified "2023-10-03" @default.
- W2014406936 title "Interlacing properties of the eigenvalues of some matrix classes" @default.
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- W2014406936 doi "https://doi.org/10.1016/j.laa.2013.06.032" @default.
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