A special cone construction and its connections to structured tensors and their spectra | Zendy

Vehbi Emrah Paksoy | Zendy

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A special cone construction and its connections to structured tensors and their spectra

Author(s) -

Vehbi Emrah Paksoy

Publication year - 2020

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1909-56

Subject(s) - mathematics , cone (formal languages) , pure mathematics , tensor (intrinsic definition) , invariants of tensors , spectral line , order (exchange) , mathematical analysis , physics , quantum mechanics , finance , algorithm , economics

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.

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