منابع مشابه
Construction Methods for Sign Patterns Allowing Nilpotence of Index k
In this paper, the smallest such integer k is called by the index (of nilpotence) of B such that B = 0. In this paper, we study sign patterns allowing nilpotence of index k and obtain four methods to construct sign patterns allowing nilpotence of index at most k, which generalizes some recent results.
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Sign patterns consisting of some positive and some negative columns, with at least one of each kind, are shown to allow any self-conjugate spectrum, and thus to allow any inertia. In the case of the n× n sign pattern with all columns positive, given any self-conjugate multiset consisting of n−1 complex numbers supplemented by a sufficiently large positive number, it is shown how to construct a ...
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ژورنال
عنوان ژورنال: Communications of the Korean Mathematical Society
سال: 2010
ISSN: 1225-1763
DOI: 10.4134/ckms.2010.25.1.011