| 矩阵乘积加权广义逆几个等式的推广 |
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| 引用本文： | 万文婷. 矩阵乘积加权广义逆几个等式的推广[J]. 金陵科技学院学报, 2014, 0(1): 5-8 |
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| 作者姓名： | 万文婷 |
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| 作者单位： | 荆楚理工学院数理学院,湖北荆门448000 |
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| 基金项目： | 荆楚理工学院科研项目（ZR201211） |
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| 摘 要： | 研究了权矩阵为可逆阵的矩阵乘积的加权广义逆。在已有的加权广义逆矩阵存在条件及表达式的基础上,利用矩阵的秩,给出了2个及3个矩阵乘积的加权广义逆的几个表达式。
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| 关 键 词： | 矩阵广义逆 加权广义逆 矩阵的乘积 矩阵的秩 |
Expansion of Several Equalities of Weighted Generalized Inverses of Matrix Product |
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| WAN Wen-ting. Expansion of Several Equalities of Weighted Generalized Inverses of Matrix Product[J]. Journal of Jinling Institute of Technology, 2014, 0(1): 5-8 |
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| Authors: | WAN Wen-ting |
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| Affiliation: | WAN Wen-ting (Jingchu University of Technology,Jingmen 448000,China) |
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| Abstract: | This paper discusses the weighted generalized inverses of the matrices products where the weights are invertible.Based on the condition for the existence of weighted general-ized inverse of a matrix and its expression,several expressions for the weighted generalized in-verses of two and three matrices products are given by using rank of matrix. |
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| Keywords: | generalized inverses matrix weighted generalized inverses product of matrices rank of matrix |
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