Allowable Spectral Perturbations for ZME-Matrices**
نویسندگان
چکیده
A ZME-matrix is a matrix A all of whose positive integer powers are Z-matrices, and whose odd powers are irreducible. We find a combinatorial partial order on the spectral idempotents of a ZME-matrix A which determines the allowable spectral perturbations B for which B is again a ZME-matrix. We apply this result to show that under certain restrictions, the product of two ZME-matrices is a ZME-matrix.
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