TY - JOUR
T1 - A new S-type eigenvalue inclusion set for tensors and its applications
AU - Huang, Zheng Ge
AU - Wang, Li Gong
AU - Xu, Zhong
AU - Cui, Jing Jing
N1 - Publisher Copyright:
© 2016, Huang et al.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - In this paper, a new S-type eigenvalue localization set for a tensor is derived by dividing N= { 1 , 2 , … , n} into disjoint subsets S and its complement. It is proved that this new set is sharper than those presented by Qi (J. Symb. Comput. 40:1302-1324, 2005), Li et al. (Numer. Linear Algebra Appl. 21:39-50, 2014) and Li et al. (Linear Algebra Appl. 481:36-53, 2015). As applications of the results, new bounds for the spectral radius of nonnegative tensors and the minimum H-eigenvalue of strong M-tensors are established, and we prove that these bounds are tighter than those obtained by Li et al. (Numer. Linear Algebra Appl. 21:39-50, 2014) and He and Huang (J. Inequal. Appl. 2014:114, 2014).
AB - In this paper, a new S-type eigenvalue localization set for a tensor is derived by dividing N= { 1 , 2 , … , n} into disjoint subsets S and its complement. It is proved that this new set is sharper than those presented by Qi (J. Symb. Comput. 40:1302-1324, 2005), Li et al. (Numer. Linear Algebra Appl. 21:39-50, 2014) and Li et al. (Linear Algebra Appl. 481:36-53, 2015). As applications of the results, new bounds for the spectral radius of nonnegative tensors and the minimum H-eigenvalue of strong M-tensors are established, and we prove that these bounds are tighter than those obtained by Li et al. (Numer. Linear Algebra Appl. 21:39-50, 2014) and He and Huang (J. Inequal. Appl. 2014:114, 2014).
KW - minimum H-eigenvalue
KW - nonnegative tensor
KW - nonsingular M-tensor
KW - positive definite
KW - spectral radius
KW - tensor eigenvalue
UR - http://www.scopus.com/inward/record.url?scp=84991583840&partnerID=8YFLogxK
U2 - 10.1186/s13660-016-1200-3
DO - 10.1186/s13660-016-1200-3
M3 - 文章
AN - SCOPUS:84991583840
SN - 1025-5834
VL - 2016
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 254
ER -