The block smoothing method for estimating the spectral radius of a nonnegative matrix

The block smoothing method for estimating the spectral radius of a nonnegative matrix
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DOI:
10.1016/j.amc.2006.06.108
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发表时间:
2007-02
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Zhi-Ming Yang-
Zhi-Ming Yang-
中科院分区:
其他
文献类型:
--
作者:
Zhi-Ming Yang-

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利用分块矩阵,提出了一种新的非负矩阵谱半径估计方法。导出了一系列保持谱半径的新矩阵,而它们的最小行和在增加,最大行和在减少。数值算例说明了该方法的有效性。
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.