In this paper, let A and B be n x n x p complex tensors and B = A + E. Denote
the T-Drazin inverse of A by AD. We give a perturbation bound for ||BD-AD||=||AD|| under condition (W). Considering the solution of singular tensor
equation A* x = b, (b ? R(AD)) at the same time. The optimal perturbation of
T-Drazin inverse of tensors and the solution of a system of tensor equations
have been given.
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