摘要
讨论了广义次对称矩阵反问题的最小二乘解,得到了解的一般表达式,并就该问题的特殊情形:矩阵反问题,得到了可解的充分必要条件及解的通式.此外,证明了最佳逼近问题解的存在唯一性,并给出了其解的具体表达式.
The least-squares solutions of inverse problems of generalized skew-symmetric matrices are discussed ,and the general expression of the solution is obtained. Moreover ,for the special cases of the least-squares problems problem, the necessary and sufficient conditions for the solvability are given, the optimal approximation solution for generalized skew-symmetric matrices is given.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2006年第4期560-564,共5页
Pure and Applied Mathematics
基金
国家自然科学基金资助项目(10571047)
关键词
广义反次对称矩阵
最小二乘解
最佳逼近
generalized skew-symmetric matrix,east-squares solution ,optimal approximation
