2022/11/05 by Hongwei Jin, Jin, Hongwei, Shumin Xu +5
Computer Science · #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2211.02841
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.