Sign Patterns with a Nest of Positive Principal Minors
نویسندگان
چکیده
A matrix A ∈Mn (R) has a nest of positive principal minors if PAP has positive leading principal minors for some permutation matrix P . Motivated by the fact that such a matrix A can be positively scaled so all its eigenvalues lie in the open right-half-plane, conditions are investigated so that a square sign pattern either requires or allows a nest of positive principal minors.
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تاریخ انتشار 2011