| 首尾差r-循环矩阵的判别方法及逆和广义逆的快速算法 |
| |
| 引用本文： | 潘雪,秦梅.首尾差r-循环矩阵的判别方法及逆和广义逆的快速算法[J].上海理工大学学报,2016,38(3):230-234. |
| |
| 作者姓名： | 潘雪 秦梅 |
| |
| 作者单位： | 上海理工大学理学院, 上海 200093;上海理工大学理学院, 上海 200093 |
| |
| 基金项目： | 国家自然科学基金资助项目(11426155);沪江基金资助项目(B14005) |
| |
| 摘 要： | 提出了一种新的循环矩阵,称之为首尾差r-循环矩阵(简记为FLDcircr矩阵).验证了它的线性运算、矩阵乘积、逆矩阵等仍为FLDcircr矩阵.通过构造基本FLDcircr矩阵,给出FLDcircr矩阵的判别方法及逆和广义逆的快速算法.
|
| 关 键 词： | FLDcircr矩阵 判别法 对角化 逆 广义逆 |
| 收稿时间： | 2015/4/10 0:00:00 |
Discriminance for FLDcircr Matrices and the Fast Algorithm for Their Inverse and Generalized Inverse |
| |
| PAN Xue and QIN Mei.Discriminance for FLDcircr Matrices and the Fast Algorithm for Their Inverse and Generalized Inverse[J].Journal of University of Shanghai For Science and Technology,2016,38(3):230-234. |
| |
| Authors: | PAN Xue and QIN Mei |
| |
| Institution: | Colloge of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;Colloge of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
| |
| Abstract: | A new type of matrices which is called as the first and the last difference r-circulant matrix (FLDcircr matrix) was presented.The linear operation, the matrix product, the inverse matrix of this type of matrices were verified to be still FLDcircr matrices.Through constructing the basic FLDcircr matrix, the discriminance for FLDcircr matrices and the fast algorithm for their inverse and generalized inverse were provided. |
| |
| Keywords: | FLDcircr matrix discriminance diagonalization inverse generalized inverse |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《上海理工大学学报》浏览原始摘要信息 |
| 点击此处可从《上海理工大学学报》下载免费的PDF全文 |
