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对称次反对称矩阵反问题的最小二乘解
Least-square Solutions of Inverse Problems for Symmetric and Skew Anti-symmetric Matrices
【摘要】 讨论了对称次反对称矩阵反问题的最小二乘解 ,得到了解的具体表达式。并讨论了用对称次反对称矩阵构造给定矩阵的最佳逼近问题 ,给出该问题有解的充分必要条件和解的表达式
【Abstract】 The least-squares solutions of inverse problem of symmetric and skew anti-symmetric matrices is discussed,and the expression of the solution is obtained.Besides,in this paper,the problem of using symmetric and skew anti-symmetric matrices to construct the optimal approximation to a given matrix is discussed,the necessary and sufficient condition about the problem are derived,and the expression of the solution is provided.
【关键词】 对称次反对称矩阵;
矩阵范数;
反问题;
最佳逼近;
【Key words】 Symmetric and skew anti-symmetric matrix; Matrix norm; Inverse problems; Optimal approximation;
【Key words】 Symmetric and skew anti-symmetric matrix; Matrix norm; Inverse problems; Optimal approximation;
- 【文献出处】 东北电力学院学报 ,Journal of Northeast China Institute of Electric Power Engineering(Natural Science Edition) , 编辑部邮箱 ,2004年06期
- 【分类号】O241.6
- 【被引频次】2
- 【下载频次】85