| 1 | Completely positive tensors in the complex field显示文摘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. | Anwa Zhou Jinyan Fan Qingwen Wang | 2020 | Science China Mathematics2020，63，6： | 0 |
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