Estimations for spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices

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作者
Te Wang
Hongbin Lv
Haifeng Sang
机构
[1] Beihua University,Mathematics Department
关键词
nonnegative matrix; -matrix; spectral radius; eigenvalues;
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摘要
In this paper, some estimations for the spectral radius of nonnegative matrices and the smallest eigenvalue of M-matrices are given by matrix directed graphs and their k-path covering. The existent results on the upper and lower bounds of the spectral radius of nonnegative matrices are improved.
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