| 矩阵的Moore-Penrose逆及其应用 |
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| 引用本文： | 冯福存.矩阵的Moore-Penrose逆及其应用[J].宁夏师范学院学报,2014,35(3):50-54. |
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| 作者姓名： | 冯福存 |
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| 作者单位： | 宁夏师范学院数学与计算机科学学院,宁夏固原,756000 |
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| 基金项目： | 宁夏高校教改基金资助项目，宁夏高校科学研究基金项目，宁夏师范学院创新团队资助项目 |
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| 摘 要： | 由普通的逆矩阵推广到广义逆矩阵,进而研究广义逆矩阵中的Moore-Penrose逆.在矩阵分解的基础上,给出了任意矩阵的Moore-Penrose逆的计算方法,讨论了矩阵的Moore-Penrose逆在求解线性矩阵方程和线性方程组中的应用.
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| 关 键 词： | 广义逆矩阵 Moore-Penrose逆 满秩分解 极小范数解 |
The Moore-Penrose Inverse of Matrix and Its Application |
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| FENG Fucun.The Moore-Penrose Inverse of Matrix and Its Application[J].Journal of Ningxia Teachers College,2014,35(3):50-54. |
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| Authors: | FENG Fucun |
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| Institution: | FENG Fucun (School of Mathematics and Computer Science, Ningxia Normal University, Guyuan, Ningxia 756000) |
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| Abstract: | The general inverse matrix is extended to the generalized inverse matrix,and then the Moore-Penrose inverse of generalized inverse matrix. Given any matrix is investigated,Moore-Penrose inverse calculation method based on matrix factorization for any matrix is given. Moreover,the application of Moore-Penrose inverse matrix in the linear equation and the linear equations are discussed. |
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| Keywords: | Generalized inverse matrix Moore-Penrose inverse Full rank decomposition Minimal norm solution |
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