东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2007年
3期
189-199
,共11页
anti-symmetric and skew-symmetric matrix%matrix norm%optimal approximation%canonical correlation decomposition
The least-square solutions of inverse problem for anti-symmetric and skew-symmetric matrices are studied. In addition, the problem of using anti-symmetric and skew-symmetric matrices to construct the optimal approximation to a given matrix is discussed, the necessary and sufficient conditions for the problem are derived,and the expression of the solution is provided. A numerical example is given to show the effectiveness of the proposed method.