Name
Title | ||
|---|---|---|
The Drazin inverse of an even-order tensor and its application to singular tensor equations. |
Abstract | ||
|---|---|---|
The notion of the Moore–Penrose inverses of matrices was recently extended from matrix space to even-order tensor space with Einstein product in the literature. In this paper, we further study the properties of even-order tensors with Einstein product. We define the index and characterize the invertibility of an even-order square tensor. We also extend the notion of the Drazin inverse of a square matrix to an even-order square tensor. An expression for the Drazin inverse through the core-nilpotent decomposition for a tensor of even-order is obtained. As an application, the Drazin inverse solution of the singular linear tensor equation A∗X=B will also be included. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.camwa.2018.02.006 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Drazin inverse,Einstein product,Tensor equation,The canonical form | Einstein,Tensor,Mathematical analysis,Matrix (mathematics),Square matrix,Drazin inverse,Mathematics | Journal |
Volume | Issue | ISSN |
75 | 9 | 0898-1221 |
Citations | PageRank | References |
2 | 0.42 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jun Ji | 1 | 41 | 6.82 |
| Yi-min Wei | 2 | 1001 | 153.95 |