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| Toeplitz矩阵的性质及其应用 | |
| 引用本文： | 吴炎,杨其强. Toeplitz矩阵的性质及其应用[J]. 琼州学院学报, 2011, 18(5): 1-5 |
| 作者姓名： | 吴炎 杨其强 |
| 作者单位： | 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(109005); 三亚市基金资助(SY11036) |
| 摘 要： | 运用矩阵方法,研究了特殊的Toeplitz矩阵A和n阶幂零矩阵在相似变换下的广义逆,得到了Toeplitz矩阵的一些性质,并用这些性质刻画了幂零矩阵A在相似变换下的广义逆的表达形式. |
| 关 键 词： | 幂零矩阵 广义逆矩阵 相似变换 Toeplitz矩阵 |
Some Properties of Toeplitz Matrix and Its Applications |
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| WU Yan,YANG Qi-qiang. Some Properties of Toeplitz Matrix and Its Applications[J]. Journal of Qiongzhou University, 2011, 18(5): 1-5 | |
| Authors: | WU Yan YANG Qi-qiang |
| Affiliation: | WU Yan,YANG Qi-qiang(Department of Mathematics,Qiongzhou University,Sanya Hainan 572022,China) |
| Abstract: | In this article,By using matrix.computational method,Toeplitz matrix.and generalized inverse of the nilpotent matrix of order n are discussed,and some properties of Toeplitz matrix.and generalized inverse of the nilpotent matrix of order n under similar transformation are given by these properties of Toeplitz matrix. |
| Keywords: | nilpotent matrix generalized inverse matrix similar transformation. Toeplitz matrix. |
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