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

2022/11/05 by Hongwei Jin, Jin, Hongwei, Peifeng Zhou +5
Engineering · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Experimental and Theoretical Physics Studies #FOS: Mathematics #Inertial Sensor and Navigation #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2211.02836

openalex publication_date 2022/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The generalized inverses of tensors via the C-Product
• Tensor decompositions and tensor equations over quaternion algebra
• T-Jordan Canonical Form and T-Drazin Inverse based on the T-Product
• Computation of outer inverse of tensors based on t-product
• Computation of Generalized Inverses of Tensors via t-Product