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几类矩阵范数之间的关系
RELATIONS AMONG MATRIX NORMS
【摘要】 <正>1 引言 [1]中,讨论了Cm×n上的矩阵A的Lp范数/A/p=(∑/aij/p)和lp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≤μp(n)/A/p, ‖A‖p≤μq(m)/A/p, (1.1) 这里
【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.
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematies A Journal of Chinese Universities , 编辑部邮箱 ,1997年01期
- 【分类号】O151.2
- 【被引频次】1
- 【下载频次】683