反对称自正交矩阵反问题解存在的条件  

Least-square Solutions of Inverse Problem for Symmetric Orthogonal Anti-symmetric Matrices

作　　者：周红林[1] 钱爱林[1] 

机构地区：[1]咸宁学院数学系,湖北咸宁437005

出　　处：《信阳师范学院学报（自然科学版）》2006年第3期265-267,共3页Journal of Xinyang Normal University(Natural Science Edition)

摘　　要：讨论了一类反对称自正交矩阵的反问题,得出问题存在解的充要条件及解的表达式.并讨论了用反对称自正交矩阵构造给定矩阵的最佳逼近问题,给出了该问题有解的充要条件和解的表达式.A kind of inverse problem for anti-symmetrie and orthogonal matrices is discussed. The necessary and sufficient conditions about the problem and expression of the solution are obtained. In addition, the problem of using anti-symmetric and orthogonal matrices to construct the optimal approximation to a given matrix is discussed, the necessary and sufficient conditions about the problem are derived, and the expression of the solution are provided.

关 键 词：反对称自正交矩阵 矩阵范数 最佳逼近 

分 类 号：O251.6[理学—数学]