| 矩阵方程AX=B的投影广义对称解及最佳逼近问题 |
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| 引用本文： | 代丽芳,梁茂林.矩阵方程AX=B的投影广义对称解及最佳逼近问题[J].天水师范学院学报,2010,30(2):53-55. |
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| 作者姓名： | 代丽芳 梁茂林 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃,天水,741001 |
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| 基金项目： | 甘肃省教育厅科研基金项目 |
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| 摘 要： | 给出了投影变换下投影广义对称矩阵的定义及性质，讨论了矩阵方程AX=B及其最小二乘问题具有投影广义对称解X的可解性条件．同时考虑了对于给定矩阵文的最佳逼近问题．
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| 关 键 词： | 投影矩阵 投影广义对称矩阵 矩阵方程 最小二乘问题 最佳逼近 |
The Generalized Projection Symmetric Solutions of Matrix Equation and its Optimal Approximate Problem |
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| Dai Lifang,Liang Maolin.The Generalized Projection Symmetric Solutions of Matrix Equation and its Optimal Approximate Problem[J].Journal of Tianshui Normal University,2010,30(2):53-55. |
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| Authors: | Dai Lifang Liang Maolin |
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| Institution: | (School of Mathematics and Statistics, Tianshui Normal University, Tianshui Gansu 741001, China) |
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| Abstract: | The conception of generalized projection symmetric matrix was defined, and the solvability conditions of matrix equation and the associated least-squares problem with generalized projection symmetric were discussed in this paper. Meanwhile, the optimal approximation problem for given matrix was considered. |
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| Keywords: | projection matrix generalized projection symmetric matrix matrix equation least-squares problem optimal approximation |
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