| 相似变换下幂零矩阵的{2,3}-逆的表示式 |
| |
| 引用本文： | 吴炎.相似变换下幂零矩阵的{2,3}-逆的表示式[J].琼州学院学报,2013(5):19-25. |
| |
| 作者姓名： | 吴炎 |
| |
| 作者单位： | [1]琼州学院学报编辑部,海南三亚572022 [2]琼州学院理工学院,海南三亚572022 |
| |
| 基金项目： | 海南省自然科学基金资助项目（109005,113008）;三亚市院地基金资助项目（2011YD13） |
| |
| 摘 要： | 研究复数域上n阶幂零矩阵在相似变换下的{2,3}-逆,运用矩阵块计算方法及Toeplitz矩阵的性质,证明了基于这个幂零矩阵的{2,3}-逆的主要定理,并利用Toeplitz矩阵刻划了幂零矩阵A在相似变换下的所有{2,3}-逆的表达形式.
|
| 关 键 词： | 幂零矩阵 {2 3}-逆 相似变换 Toeplitz矩阵 |
Expressions of all {2,3 } - inverses of the Nilpotent Matrix under Similar Transformation |
| |
| WU Yan.Expressions of all {2,3 } - inverses of the Nilpotent Matrix under Similar Transformation[J].Journal of Qiongzhou University,2013(5):19-25. |
| |
| Authors: | WU Yan |
| |
| Institution: | WU Yan ( 1. Editorial Department of Qiongzhou University Journal, Sanya , Hainan , 572022, China; 2. School of Science and Engineering, Qiongzhou University, Sanya, Hainan , 572022, China ) |
| |
| Abstract: | By some properties of Toeplitz matrix and matrix computational method, the { 2,3} - inverses of the nilpotent matrix A of order n under a similar transformation was used to prove the theorem on { 2,3 } - inverses of the nilpotent matrix A, and to score the expressions of all { 2,3 } - inverses of nilpotent matrix. |
| |
| Keywords: | Nilpotent matrix { 2 3 t - inverse Similar transformation Toeplitz matrix |
| 本文献已被 维普 等数据库收录！ |
|
