| 一种求复数矩阵逆的迭代方法 |
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| 引用本文： | 董永胜.一种求复数矩阵逆的迭代方法[J].长春大学学报,2006(4). |
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| 作者姓名： | 董永胜 |
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| 作者单位： | 鸡西大学师范学院 黑龙江鸡西158100 |
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| 基金项目： | 黑龙江省教育厅高职高专科研项目(10555022) |
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| 摘 要： | 将复数矩阵的虚部矩阵应用矩阵的初等变换不改变其秩的理论,分解成两个向量乘积之和分解式。把复数矩阵写成实部矩阵与虚部矩阵分解式之和形式,利用摄动矩阵求逆公式,建立了本文给出的复数矩阵求逆的迭代公式。
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| 关 键 词： | 复数矩阵 迭代 秩 摄动矩阵 |
A iteration method to seek the complex matrix inversion |
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| Dong Yong-sheng.A iteration method to seek the complex matrix inversion[J].Journal of Changchun University,2006(4). |
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| Authors: | Dong Yong-sheng |
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| Abstract: | The theory of the imaginary part matrix of the complex matrix is put into two vector product sum by using the elementary transformation of the matrix of unchanging the matrix rank.The complex matrix is given by the form of the real-part and imaginary part matix decomposition formula sum and using the perturbation matrix to seek the inverse formula and the iteration formula of the complex matrix inversion given in the paper is established. |
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| Keywords: | complex matrix iteration rank perturbation matrix |
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