| 相似变换下幂零矩阵的{2,3}-逆的表示式 |
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| 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, 0(5): 19-25 |
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| 作者姓名： | 吴炎 |
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| 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 |
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| 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） |
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| 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.
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| 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 |
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| WU Yan. Expressions of all {2,3 } - inverses of the Nilpotent Matrix under Similar Transformation[J]. Journal of Qiongzhou University, 2013, 0(5): 19-25 |
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| Authors: | WU Yan |
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| Affiliation: | 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 ) |
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| 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. |
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| Keywords: | Nilpotent matrix { 2,3 t - inverse Similar transformation Toeplitz matrix. |
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