| 广义逆矩阵｛2｝-逆充分必要性的一些新结论 |
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| 引用本文： | 范庆民. 广义逆矩阵｛2｝-逆充分必要性的一些新结论[J]. 太原理工大学学报, 2012, 43(1): 106-108 |
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| 作者姓名： | 范庆民 |
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| 作者单位： | 太原理工大学数学学院,太原,030024 |
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| 基金项目： | 山西省自然科学基金资助项目 |
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| 摘 要： | 在相关的广义逆矩阵理论基础上,通过研究广义逆矩阵中某些满足一定条件的{2}-逆的充分必要性,获得了一些新结果。拓广补充了相关结论,这对于{2}-逆的应用具有一定意义。
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| 关 键 词： | 广义逆矩阵 ｛2｝-逆 投影算子 值域 零空间 幂等矩阵 |
New Results about the Necessary and Sufficient Conditions of {2}-Inverse of Generalized Inverse Matrix |
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| FAN Qing-min. New Results about the Necessary and Sufficient Conditions of {2}-Inverse of Generalized Inverse Matrix[J]. Journal of Taiyuan University of Technology, 2012, 43(1): 106-108 |
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| Authors: | FAN Qing-min |
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| Affiliation: | FAN Qing-min(College of Mathematics of TUT,Taiyuan 030024,China) |
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| Abstract: | On the basis of on the related theory of generalized inverse matrix,this paper gets new results about the necessary and sufficient conditions of some {2}-inverse that meets certain conditions in the generalized inverse matrix.The new results complement the related conclusions and are valuable to the application of {2}-inverse. |
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| Keywords: | generalized Inverse Matrix {2}-Inverse projection operator range null Space idempotent matrix |
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