Open AccessA new estimate for the spectral radius of nonnegative tensors
Author(s) -
Jingjing Cui,
Guohua Peng,
Qiming Lu,
Zhengge Huang
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1810409c
Subject(s) - mathematics , radius , spectral radius , upper and lower bounds , component (thermodynamics) , combinatorics , mathematical analysis , eigenvalues and eigenvectors , physics , computer security , quantum mechanics , computer science , thermodynamics
In this paper, we are concerned with the spectral radius of nonnegative tensors. By estimating the ratio of the smallest component and the largest component of a Perron vector, a new bound for the spectral radius of nonnegative tensors is obtained. It is proved that the new bound improves some existing ones. Finally, a numerical example is implemented to show the effectiveness of the proposed bound.