论文信息 - The inverse, rank and product of tensors

The inverse, rank and product of tensors

Abstract In this paper, we give some basic properties for the left (right) inverse, rank and product of tensors. The existence of order 2 left (right) inverses of tensors is characterized. We obtain some equalities and inequalities on the tensor rank. We also show that the rank of a uniform hypergraph is independent of the ordering of its vertices, and the Laplacian tensor and the signless Laplacian tensor have the same rank for odd-bipartite even uniform hypergraphs.

Changjiang Bu | Yimin Wei | Wenzhe Wang | Jiang Zhou | Xu Zhang

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