Title |
Permutation transformations of tensors with an application
|
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Published in |
SpringerPlus, November 2016
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DOI | 10.1186/s40064-016-3720-1 |
Pubmed ID | |
Authors |
Yao-Tang Li, Zheng-Bo Li, Qi-Long Liu, Qiong Liu |
Abstract |
The permutation transformation of tensors is introduced and its basic properties are discussed. The invariance under permutation transformations is studied for some important structure tensors such as symmetric tensors, positive definite (positive semidefinite) tensors, Z-tensors, M-tensors, Hankel tensors, P-tensors, B-tensors and H-tensors. Finally, as an application of permutation transformations of tensors, the canonical form theorem of tensors is given. The theorem shows that some problems of higher dimension tensors can be translated into the corresponding problems of lower dimension weakly irreducible tensors so as to handle easily. |
Mendeley readers
The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
Country | Count | As % |
---|---|---|
Unknown | 2 | 100% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Student > Ph. D. Student | 1 | 50% |
Student > Master | 1 | 50% |
Readers by discipline | Count | As % |
---|---|---|
Engineering | 2 | 100% |