Moore–Penrose inverse of tensors via Einstein product

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Tensor inversion and its application to the tensor equations with Einstein product (2018, methodology): “We should mention that the pseudoinversion (A T ∗1 A )−1 ∗2 A T is essentially the Moore-Penrose inverse of the tensor A [20].”
Generalized tensor function via the tensor singular value decomposition based on the T-product (2019, background): “For the Einstein product, both the standard tensor inverse and the generalized tensor inverse theories have been established [40, 49], so it is natural to talk about the generalized inverse and other kinds of generalized functions based on the T-product.”
T-Jordan Canonical Form and T-Drazin Inverse Based on the T-Product (2019, methodology): “Both the tensor Moore-Penrose inverse and Drazin inverse have been established for Einstein product by Jin, Bai, Bentez and Liu [18] and Sun, Zheng, Bu and Wei [36], respectively.”
Iterative algorithms for solving some tensor equations (2019, methodology): “2 [10]: The Kronecker product of A ∈ RI1×···×IN×J1×···×JN and B ∈”