| 矩阵的降阶定理及其应用 |
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| 引用本文： | 呙林兵.矩阵的降阶定理及其应用[J].河南教育学院学报(自然科学版),2011(3):7-8,15. |
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| 作者姓名： | 呙林兵 |
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| 作者单位： | 长江大学信息与数学学院; |
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| 摘 要： | 给出了矩阵求逆的几个降阶定理,利用这些定理可将求高阶矩阵的逆转化为求低阶矩阵的逆,并由定理导出了两个推论,这些定理及其推论在求逆矩阵的过程中具有重要的意义.
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| 关 键 词： | 矩阵 可逆矩阵 矩阵的逆 降阶定理 分块矩阵 |
Matrix Reduction Theorems and Their Application |
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| GUO Lin-bing.Matrix Reduction Theorems and Their Application[J].Journal of Henan Education Institute(Natural Science Edition),2011(3):7-8,15. |
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| Authors: | GUO Lin-bing |
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| Institution: | GUO Lin-bing(School of Information and Mathematics,Yangtze University,Jingzhou 434023,China) |
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| Abstract: | Several reduction theorems for matrix inversion are given,so matrix inversion of high demand can be converted into that of low demand by these theorems.Two inferences are derived by the theorems,both theorems and their inferences have important significance in matrix inversion. |
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| Keywords: | matrix invertible matrix inverse of matrix reduction theorem block matrix |
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