Search results for: Nilpotence

1 Construction Methods for Sign Patterns Allowing Nilpotence of Index k

Authors: Jun Luo

Abstract:

In this paper, the smallest such integer k is called by the index (of nilpotence) of B such that Bk = 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.

Keywords: Sign pattern, Nilpotence, Jordan block.

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