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| 摘要: |
| 研究了所有n维实向量构成的线性空间Rn上的投影阵 ,从线性变换的角度给出了投影阵定义 ,讨论了其性质 ,指出了Rn上一般投影阵与P=A(ATA) 1 AT 之间的关系 ,以及与不相容性方程组的最优解之间的紧密联系。 |
| 关键词: 投影阵,投影变换,投影向量,实幂等矩阵,列空间,核空间,不相容线性方程组 |
| DOI： |
| 分类号:O151 |
| 基金项目: |
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| Projection Matrix on Rn and the Optimal Solution of Inconsistent Linear Simultaneous Equations |
|
GUO Hua
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| Abstract: |
| The projection matrixes on linear space R n composed of all n_dimension real vectors was studied. The definition of projection matrix was given with the view of linear transform,and its properties were also discussed. Furthermore,the realtions betwee |
| Key words: projection matrix,projection transform,projection rector,real idempotent matrix,column space,nuclear space,inconsistent linear simultaneous equations |
