Affiliation:
1. School of Mathematics and Physics, Guangxi Minzu University, Nanning, China
Abstract
In this paper, we present the expressions of the generalized inverses of the
third-order 2 ? 2 block tensor under the C-Product. Firstly, we give the
necessary and sufficient conditions to present some generalized inverses and
the Moore-Penrose inverse of the block tensor in Banachiewicz-Schur forms.
Next, some results are generalized to the group inverse and the Drazin
inverse. Moreover, equivalent conditions for the existence as well as the
expressions for the core inverse of the block tensor are obtained. Finally,
the results are applied to express the quotient property and the first
Sylsvester identity of tensors.
Publisher
National Library of Serbia
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