| 行(列)对称矩阵的极分解与广义逆 |
| |
| 引用本文： | 袁晖坪.行(列)对称矩阵的极分解与广义逆[J].吉林大学学报(理学版),2015,53(2):255-260. |
| |
| 作者姓名： | 袁晖坪 |
| |
| 作者单位： | 重庆工商大学 电子商务及供应链系统重庆市重点实验室, 数学与统计学院, 重庆 400067 |
| |
| 基金项目： | 国家自然科学基金(批准号:11271388);电子商务及供应链系统重庆市重点实验室专项基金(批准号:2012ECSC0216) |
| |
| 摘 要： | 考虑行(列)对称矩阵的极分解与广义逆,给出了行(列)对称矩阵的极分解和广义逆的计算公式,并导出了行(列)对称矩阵极分解的系列扰动界.结果表明,所给方法既减少了计算量与存储量,又不会降低数值精度.
|
| 关 键 词： | 行（列）对称矩阵 极分解 广义逆 扰动界 |
| 收稿时间： | 2014-08-27 |
Polar Factorization and Generalized Inverse forRow (Column) Symmetric Matrix |
| |
| YUAN Huiping.Polar Factorization and Generalized Inverse forRow (Column) Symmetric Matrix[J].Journal of Jilin University: Sci Ed,2015,53(2):255-260. |
| |
| Authors: | YUAN Huiping |
| |
| Institution: | Chongqing Key Laboratory of Electronic Commerce & Supply Chain System, College of Mathematicsand Statistics, Chongqing Technology and Business University, Chongqing 400067, China |
| |
| Abstract: | The author studied the polar factorization and generalized inverse of row (column) symmetric matrix. In addition, the formulae of the polar factorization and generalized inverse of row (column) symmetric matrix were given, which make calculation easier. And some perturbation bounds of the polar factorization of row (column) symmetric matrix were also presented. |
| |
| Keywords: | row (column) symmetric matrix polar factorization generalized inverse perturbation bound |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
