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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

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【作者】 周硕秦万广

【Author】 ZHOU Shuo,QIN Wan-guang (Department of Mathematics and Physics Northeast China Institute of Electric Power Engineering,Jilin City,132012)

【机构】 东北电力学院数理科学系东北电力学院数理科学系 吉林吉林132012吉林吉林132012

【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.

  • 【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
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