| 一般矩阵函数的变差(英文) |
| |
| 引用本文： | 刘修生.一般矩阵函数的变差(英文)[J].大学数学,2007,23(5):134-136. |
| |
| 作者姓名： | 刘修生 |
| |
| 作者单位： | 黄石理工学院,数理学院,湖北,黄石,435003 |
| |
| 基金项目： | The NSF of Hubei Education Committee(No:2004X157) |
| |
| 摘 要： | 设Sn是n次对称群,G为Sn的子群,χ是G的次数为1的特征标.如果A是一个n阶复变矩阵,定义一般矩阵函数dχG为dχG(A)=∑σ∈Gχ(σ)∏ni=1aiσ(i).本文用lp-算子范数(1≤p≤∞)的性质证明了一般矩阵函数变差的两个不等式.
|
| 关 键 词： | lp-算子范数 张量积 非负矩阵 一般矩阵函数 投影 |
| 文章编号： | 1672-1454（2007）05-0134-03 |
| 修稿时间： | 2005-12-19 |
Variation of General Matrix Function |
| |
| LIU Xiu-sheng.Variation of General Matrix Function[J].College Mathematics,2007,23(5):134-136. |
| |
| Authors: | LIU Xiu-sheng |
| |
| Affiliation: | School of Math. and Physics, Huangshi Institute of Technology, Huangshi, Hubei 435003,China |
| |
| Abstract: | Let Sn denote the symmetric group of degree n and let G be a subgroup of Sn, and let χ be a character of degree 1 on G. If A is an n by n complex matrix, we define the generalized matrix function dGχ by dGχ(A)=∑σ∈Gχ(σ)∏ni=1aiσ(i). It is then use the lp-operator norm ((1≤p≤∞) to obtain two extend inequalities in the variation for general matrix function. |
| |
| Keywords: | lp-operator norm tensor product nonnegative matrix general matrix function projecture |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
