Abstract
The weighted Moore–Penrose inverse of a tensor via the Einstein product is introduced in the literature, very recently. The objective of this paper is to study the reverse-order law for the weighted Moore–Penrose inverse. In this context, a few properties of the weighted Moore–Penrose inverse of an arbitrary order tensor via the Einstein product are discussed. Some new sufficient conditions for the reverse-order law of even-order square tensors are obtained. Several characterizations of the reverse-order law for the weighted Moore–Penrose inverse of tensors via the same product are also presented.
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