TY - JOUR
T1 - Some new Z-eigenvalue localization sets for tensors and their applications
AU - Huang, Zhengge
AU - Wang, Ligong
AU - Xu, Zhong
AU - Cui, Jingjing
N1 - Publisher Copyright:
© 2019, Union Matematica Argentina.
PY - 2019
Y1 - 2019
N2 - In this paper some new Z-eigenvalue localization sets for general tensors are established, which are proved to be tighter than those newly derived by Wang et al. [Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 187-198]. Also, some relationships between the Z-eigenvalue inclusion sets presented by Wang et al. and the new Z-eigenvalue localization sets for tensors are given. Besides, we discuss the effects of orthonormal transformations for the proposed sets. As applications of the proposed sets, some improved upper bounds for the Z-spectral radius of weakly symmetric nonnegative tensors are given. Numerical examples are also given to verify the advantages of our proposed results over some known ones.
AB - In this paper some new Z-eigenvalue localization sets for general tensors are established, which are proved to be tighter than those newly derived by Wang et al. [Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 187-198]. Also, some relationships between the Z-eigenvalue inclusion sets presented by Wang et al. and the new Z-eigenvalue localization sets for tensors are given. Besides, we discuss the effects of orthonormal transformations for the proposed sets. As applications of the proposed sets, some improved upper bounds for the Z-spectral radius of weakly symmetric nonnegative tensors are given. Numerical examples are also given to verify the advantages of our proposed results over some known ones.
KW - Largest Z-eigenvalue
KW - Spectral radius
KW - Weakly symmetric nonnegative tensors
KW - Z-eigenvalue localization set
UR - http://www.scopus.com/inward/record.url?scp=85068980583&partnerID=8YFLogxK
U2 - 10.33044/revuma.v60n1a07
DO - 10.33044/revuma.v60n1a07
M3 - 文章
AN - SCOPUS:85068980583
SN - 0041-6932
VL - 60
SP - 99
EP - 119
JO - Revista de la Union Matematica Argentina
JF - Revista de la Union Matematica Argentina
IS - 1
ER -