Abstract
Those nonnegative matrices, some Hadamard power of which are inverse M‐matrices, are characterized. This requires a refinement of the strict path product necessary condition [C. R. Johnson and R. L. Smith, Linear Multilinear Algebra, 46 (1999), pp. 177–191] for an inverse M‐matrix. The smallest such Hadamard power may be arbitrarily large. It is also shown that, beyond some threshold, all continuous Hadamard powers of an inverse M‐matrix are inverse M. In the process, several new results about inverse M‐matrices are given.
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