Bounds for the spectral radius of nonnegative tensors

Li, Chaoqian; Wang, Yaqiang; Yi, Jieyi; Li, Yaotang

doi:10.3934/jimo.2016.12.975

Cited by 6 publications

(3 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, much literature has focused on the bounds of the spectral radius of nonnegative tensor in [2, 3, 14, 15, 17–19, 24, 28]. In addition, in [4], He and Huang obtained the upper and lower bounds for the minimum H -eigenvalue of nonsingular M -tensors.…”

Section: Introductionmentioning

confidence: 99%

A new S-type eigenvalue inclusion set for tensors and its applications

et al. 2016

View full text Add to dashboard Cite

In this paper, a new S-type eigenvalue localization set for a tensor is derived by dividing 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).

show abstract

Section: Introductionmentioning

confidence: 99%

A new S-type eigenvalue inclusion set for tensors and its applications

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Recently, many literatures have been focused on the bounds of the spectral radius of nonnegative tensor in [11,13,14,15,16,17,29]. Also, in [12], He and Huang obtained the upper and lower bounds for the minimum H -eigenvalue of irreducible strong M -tensors.…”

Section: Introductionmentioning

confidence: 99%