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arXiv · 1806.03655

An extension of the Moore-Penrose Inverse of a Tensor via the Einstein product

Krushnachandra Panigrahy·Debasisha Mishra
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Abstract

In this paper, we first give an expression for the Moore-Penrose inverse of the product of two tensors via the Einstein product. We then introduce a new generalized inverse of a tensor called product Moore-Penrose inverse. A necessary and sufficient condition for the coincidence of the Moore-Penrose inverse and the product Moore-Penrose inverse is also proposed. Finally, the triple reverse order law of tensors is introduced.

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Krushnachandra Panigrahy, Debasisha Mishra. 2018-06-10. An extension of the Moore-Penrose Inverse of a Tensor via the Einstein product. https://doi.org/10.1080/03081087.2020.1748848

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