The block smoothing method for estimating the spectral radius of a nonnegative matrix
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摘要
Utilizing the block matrix, a new estimate for the spectral radius of a nonnegative matrix is presented. A series of new matrices are derived that preserve the spectral radius while their minimum row sums are on the increase and the maximum row sums on the decrease. Numerical examples are provided to illustrate the effectiveness of this approach.
论文关键词：Nonnegative matrix,Block matrix,Spectral radius,Smoothing method
论文评审过程：Available online 1 September 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.108
