| 两个群可逆矩阵线性组合的群逆 |
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| 引用本文： | 孟靖华.两个群可逆矩阵线性组合的群逆[J].甘肃教育学院学报(自然科学版),2014(1):30-31,37. |
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| 作者姓名： | 孟靖华 |
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| 作者单位： | 忻州师范学院专科部,山西忻州034000 |
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| 摘 要： | 利用分块矩阵的思想研究了两个群可逆矩阵M，N∈C^n×n在MN=NM和可逆矩阵NMM#＋MNN#条件下的线性组合M±N仍然是一个可逆矩阵．
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| 关 键 词： | 群可逆 线性组合 分块矩阵 |
The Group Inverse on Linear Combinations of Two Group Invertible Matrices |
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| MENG Jing-hua.The Group Inverse on Linear Combinations of Two Group Invertible Matrices[J].Journal of Gansu Education College(Natural Science Edition),2014(1):30-31,37. |
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| Authors: | MENG Jing-hua |
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| Institution: | MENG Jing-hua (Department of Mathematics, Xinzhou Teachers University, Xinzhou 034000, China) |
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| Abstract: | Using the thinking of the block matrix, the linear combination of two group invertible matrices M,N∈C^n×n still was a group invertible matrix was studied, which under the conditions of MN= NM and the invertible matrix NMM#±MNN#. |
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| Keywords: | group invertible matrices linear combinations block matrix |
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