paper

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

arXiv:1901.01527 · doi:10.1007/s43036-019-00005-0

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.

15 pages

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