Abstract
In this work we construct a cone comprised of a group of tensors (hypermatrices) satisfying a special condition, and we study its relations to structured tensors such as M-tensors and H-tensors. We also investigate its applications to spectra of certain Z-tensors. We obtain an inequality for the spectral radius of certain tensors when the order m is odd.
| Original language | American English |
|---|---|
| Pages (from-to) | 1222-1237 |
| Number of pages | 16 |
| Journal | Turkish Journal of Mathematics |
| Volume | 44 |
| Issue number | 4 |
| State | Published - Apr 5 2020 |
Bibliographical note
Publisher Copyright:© TUBITAK.
Funding
This paper is written during the sabbatical leave of the author. The author would like to thank Department of Mathematics of Shanghai University, in particular, Dr. Qingwen Wang, for their hospitality and support.
| Funders |
|---|
| Department of Mathematics of Shanghai University |
ASJC Scopus Subject Areas
- General Mathematics
Keywords
- H-tensor
- Hadamard product
- M-tensor
- Sum-of-squares tensor
Disciplines
- Mathematics
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