277 research outputs found
The generalized inverses of the quaternion tensor via the T-product
In this article, specific definitions of the Moore-Penrose inverse, Drazin
inverse of the quaternion tensor and the inverse along two quaternion tensors
are introduced under the T-product. Some characterizations, representations and
properties of the defined inverses are investigated. Moreover, algorithms are
established for computing the Moore-Penrose inverse, Drazin inverse of the
quaternion tensor and the inverse along two quaternion tensors, respectively
The generalized inverses of tensors via the C-Product
This paper studies the issues about the generalized inverses of tensors under
the C-Product. The aim of this paper is threefold. Firstly, this paper present
the definition of the Moore-Penrose inverse, Drazin inverse of tensors under
the C-Product. Moreover, the inverse along a tensor is also introduced.
Secondly, this paper gives some other expressions of the generalized inverses
of tensors by using several decomposition forms of tensors. Finally, the
algorithms for the Moore-Penrose inverse, Drazin inverse of tensors and the
inverse along a tensor are established
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