Article
A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra
Turkish Journal of Mathematics
Document Type
Article
Publication Date
4-5-2020
Keywords
- H-tensor,
- M-tensor,
- Hadamard product,
- Sum-of-squares tensor
Disciplines
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.
Creative Commons License
Creative Commons Attribution 4.0 International
DOI
10.3906/mat-1909-56
Citation Information
Vehbi Emrah Paksoy. "A Special Cone Construction and Its Connections to Structured Tensors and Their Spectra" Turkish Journal of Mathematics (2020) p. 1 - 16 ISSN: 1300-0098 Available at: http://works.bepress.com/vehbi-paksoy/32/
©TUBITAK. This work is licensed under a Creative Commons Attribution 4.0 International License.