| 关于方阵幂级数收敛性判定定理的一些注记 |
| |
| 引用本文： | 郭华.关于方阵幂级数收敛性判定定理的一些注记[J].重庆工商大学学报(自然科学版),2012,29(7):33-35. |
| |
| 作者姓名： | 郭华 |
| |
| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
| |
| 摘 要： | 研究了矩阵幂级数,利用方阵A的特征值和方阵A的幂级数系数之间的各种关系,给出了方阵幂级数绝对收敛和发散的一系列判定法.
|
| 关 键 词： | 矩阵幂级数 谱半径 矩阵范数 特征值 绝对收敛 |
Notes on Determination Theorem of the Convergence of Square Matrix Power Series |
| |
| GUO Hua.Notes on Determination Theorem of the Convergence of Square Matrix Power Series[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2012,29(7):33-35. |
| |
| Authors: | GUO Hua |
| |
| Institution: | GUO Hua(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China) |
| |
| Abstract: | The matrix power series is studied,by using all kinds of relations between eigenvalue of squre matrix A and power series of square matrix A ,this article has given a series of criteria of the absolute convergence and divergence of the square matrix power series. |
| |
| Keywords: | matrix power series spectral radius matrix norm characteristic value absolute convergence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《重庆工商大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《重庆工商大学学报(自然科学版)》下载免费的PDF全文 |
