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arXiv · 2211.02836

The generalized inverses of the quaternion tensor via the T-product

Hongwei Jin·Peifeng Zhou·Hongjie Jiang·Xiaoji Liu
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Abstract

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.

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Hongwei Jin, Peifeng Zhou, Hongjie Jiang, Xiaoji Liu. 2022-11-05. The generalized inverses of the quaternion tensor via the T-product. https://arxiv.org/abs/2211.02836

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