| 几类矩阵范数之间的关系 |
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| 引用本文： | 张喜平.几类矩阵范数之间的关系[J].高等学校计算数学学报,1997,19(1):40-47. |
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| 作者姓名： | 张喜平 |
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| 作者单位： | 上海交通大学应用数学系!上海200030 |
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| 摘 要： | 1 引言 1]中,讨论了C~(m×n)上的矩阵A的L_p范数/A/_p=(∑/a_(ij)/~p)和l_p算子范数‖A‖_p= max/AX/_p1』之间的关系,得到了下面的不等式: ‖A‖_p≤μ_p(n)/A/_p, ‖A‖_p≤μ_q(m)/A/_p, (1.1) 这里
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| 关 键 词： | 矩阵 范数 向量范数 算子范数 |
RELATIONS AMONG MATRIX NORMS |
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| Zhang Xiping.RELATIONS AMONG MATRIX NORMS[J].Numerical Mathematics A Journal of Chinese Universities,1997,19(1):40-47. |
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| Authors: | Zhang Xiping |
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| Institution: | Shanghai Jiaotong University |
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| Abstract: | In this paper, our main results is to extend some inequalities in l].2] and 3], and obtain the upper limit and lower limit that we easy to calculate and are optimal under some conditions. In addition, we give the sufficient and necessaly conditions for the equivelent between two operator norm. |
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| Keywords: | Monotone vector norm operator norm |
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