Changqing Xu, From completely positive matrices to completely positive tensors, Vol. 2024 (2024), Article ID 27, pp. 1-13

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DOI: 10.23952/cot.2024.27

Received July 24, 2023; Accepted December 8, 2023; Published online April 8, 2024

 

Abstract. In this paper, we introduce the doubly nonnegative (dnn) tensor, completely positive (cp) tensor, binary cp tensor and cp pseudograph. Some necessary and sufficient conditions for a tensor to be binary cp are also offered. We also present some conditions for a dnn tensor to be cp by its associated pseudograph.

 

How to Cite this Article:
C. Xu, From completely positive matrices to completely positive tensors, Commun. Optim. Theory 2024 (2024) 27.