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.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2006年第3期265-267,共3页
Journal of Xinyang Normal University(Natural Science Edition)
关键词
反对称自正交矩阵
矩阵范数
最佳逼近
anti-symmetric and self-orthogonal matrices
matrix norm
optimal approximation
