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X的最佳逼近问题.
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.
出处
《天水师范学院学报》
2010年第2期53-55,共3页
Journal of Tianshui Normal University
基金
甘肃省教育厅科研基金项目"基于分层几何特征的人脸图像识别系统的研究"(0808-04)阶段性成果
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
projection matrix
generalized projection symmetric matrix
matrix equation
least-squares problem
optimal approximation
