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- W2890878780 abstract "The equality $(mathcal{A}_{*N}mathcal{B})^dagger = mathcal{B}^dagger_{*N} mathcal{A}^dagger$ for any two complex tensors $mathcal{A}$ and $mathcal{B}$ of arbitrary order, is called as the {it reverse-order law} of tensors. Panigrahy {it et al.} [Linear Multilinear Algebra; 2018. Doi: 10.1080/03081087.2018.1502252] studied very recently the reverse-order law of the Moore--Penrose inverse of even-order tensors via the Einstein product. This notion is revisited for tensors of any order. In this context, we provide a new expression of the Moore--Penrose inverse of an arbitrary order tensor via the Einstein product. We again obtain some new sufficient conditions for the reverse-order law for the Moore--Penrose inverse of even-order square tensors. We then present several characterizations for tensors of any order to hold the reverse-order law via the same product." @default.
- W2890878780 created "2018-09-27" @default.
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- W2890878780 date "2018-09-19" @default.
- W2890878780 modified "2023-09-27" @default.
- W2890878780 title "Reverse-Order Law of tensors Revisited" @default.
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