|
|||||
|
|
Completely positive tensors in the complex field |
|
| Authors: | Zhou Anwa Fan Jinyan Wang Qingwen |
| Affiliation: | 1.Department of Mathematics, Shanghai University, Shanghai, 200444, China ;2.School of Mathematical Sciences and MOE-LSC, Shanghai Jiao Tong University, Shanghai, 200240, China ; |
| Abstract: | In this paper, we introduce the complex completely positive tensor, which has a symmetric complex decomposition with all real and imaginary parts of the decomposition vectors being non-negative. Some properties of the complex completely positive tensor are given. A semidefinite algorithm is also proposed for checking whether a complex tensor is complex completely positive or not. If a tensor is not complex completely positive, a certificate for it can be obtained; if it is complex completely positive, a complex completely positive decomposition can be obtained. |
| Keywords: | |
| 本文献已被 CNKI SpringerLink 等数据库收录！ | |