Some new estimations for the upper and lower bounds for the spectral radius of nonnegative matrices
Zhengge Huang, Xu Zhong, Quan Lu · Journal of Inequalities and Applications · 2015
In this paper, some new upper bounds on the spectral radius of the Hadamard product of two nonnegative matrices and some upper and lower bounds on the spectral radius of the iterative matrix of a nonsingular M -matrix are given. These bounds improved the corresponding results of Cheng et al. (Appl. Math. E-Notes 5:202-209, 2005), Guo et al. (J. Inequal. Appl. 2013:433, 2013), Huang (Linear Algebra Appl. 428:1551-1559, 2008) and Liu et al. (Linear Algebra Appl. 432:936-948, 2010) and are sharper than the related results of Fang (Linear Algebra Appl. 425:7-15, 2007) and Liu and Chen (Linear Algebra Appl. 431:974-984, 2009) in some cases. Some numerical examples are used to show the advantages of the results in this paper.