矩阵正规程度的度量与矩阵的对角优势度
The Normality of a Matrix and its Degree of Diagonal Dominance
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摘要: 采用统计研究的方法,详细分析了衡量矩阵正规程度的几种主要指标之间的关系以及它 们与矩阵的特征值摄动量的关系,进而讨论了矩阵的对角优势度与上述诸指标之间以及与特 征值摄动量之间的关系,给出了一些经验公式.Abstract: By using the statistical method, this paper analyses the relationship between some major indeces used to measure the normality of a matrix, and the relationship between these indices and the deviation of eigenvalues. Moreover, the relationship between the degree of diagonal dominance and the indeces mentioned above and the deviation of eigenvalues are discussed. A series of empirical formulae are given.
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Key words:
- Robustness /
- normality of a matrix /
- diagonal dominance /
- deviation of eigenvalues
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