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They introduced the terms “essentially nonnegative matrix” for matrices whose off-diagonal elements are nonnegative and “essentially positive matrix” for essentially
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Horn [8] gave an example of an exceptional matrix (see Section 3 of this paper). Note that A is not necessarily copositive in this definition, although A being copositive is our
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It is easy to check that there are values of n and r for which the upper bound given in Corollary 2.6 for the exponent of matrices with nonzero trace is smaller than those in [4]
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