Please use this identifier to cite or link to this item:
Title: {0,1} completely positive tensors and multi-hypergraphs
Authors: Xu, C
Luo, Z
Qi, L 
Chen, Z
Keywords: (0,1) tensor
Completely positive tensor
{0,1} completely positive tensor
Issue Date: 2016
Publisher: North-Holland
Source: Linear algebra and its applications, 2016, v. 510, p. 110-123 How to cite?
Journal: Linear algebra and its applications 
Abstract: Completely positive graphs have been employed to associate with completely positive matrices for characterizing the intrinsic zero patterns. As tensors have been widely recognized as a higher-order extension of matrices, the multi-hypergraph, regarded as a generalization of graphs, is then introduced to associate with tensors for the study of complete positivity. To describe the dependence of the corresponding zero pattern for a special type of completely positive tensors—the {0,1} completely positive tensors, the completely positive multi-hypergraph is defined. By characterizing properties of the associated multi-hypergraph, we provide necessary and sufficient conditions for any (0,1) associated tensor to be {0,1} completely positive. Furthermore, a necessary and sufficient condition for a uniform multi-hypergraph to be a completely positive multi-hypergraph is proposed as well.
ISSN: 0024-3795
EISSN: 1873-1856
DOI: 10.1016/j.laa.2016.08.016
Appears in Collections:Journal/Magazine Article

View full-text via PolyU eLinks SFX Query
Show full item record

Page view(s)

Last Week
Last month
Checked on Aug 13, 2017

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.