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Reverse-order law for weighted Moore--Penrose inverse of tensors

Published 6 Jan 2019 in math.RA | (1901.01527v1)

Abstract: In this paper, we provide a few properties of the weighted Moore--Penrose inverse for an arbitrary order tensor via the Einstein product. We again obtain some new sufficient conditions for the reverse-order law of the weighted Moore--Penrose inverse for even-order square tensors. We then present several characterizations of the reverse-order law for tensors of arbitrary order.

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