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arXiv · 1901.01527

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

Krushnachandra Panigrahy·Debasisha Mishra
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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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Krushnachandra Panigrahy, Debasisha Mishra. 2019-01-06. Reverse-order law for weighted Moore--Penrose inverse of tensors. https://doi.org/10.1007/s43036-019-00005-0

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