Reverse order law for the Moore-Penrose inverses of tensors
arXiv:1708.05332 · doi:10.1080/03081087.2018.1502252
Abstract
Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-Penrose inverse of tensors. We then obtain a few necessary and sufficient conditions for the reverse order law for the Moore-Penrose inverse of tensors via the Einstein product.
References in corpus (1)
Cited by in corpus (7)
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- An extension of the Moore-Penrose Inverse of a Tensor via the Einstein product
- Weighted Moore-Penrose inverses of arbitrary-order tensors
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- Generalized Inverses of Boolean Tensors via Einstein Product
- A note on numerical ranges of tensors
- On reverse-order law of tensors and its application to additive results on Moore-Penrose inverse