线性流形上反对称正交反对称矩阵反问题的最小二乘解  

The Anti-symmetric Orthogonal Anti-Symmetric Solutions of Matric Equation on the Linear Manifoid

作　　者：邓继恩[1] 苏永敏[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南焦作454003

出　　处：《吉林师范大学学报（自然科学版）》2009年第2期19-22,共4页Journal of Jilin Normal University:Natural Science Edition

摘　　要：利用矩阵的奇异值分解,给出了了线性流形上矩阵方程AX=B的反对称正交反对称的最小二乘解表达式,并求出了与给定矩的最佳逼近.By applying the singular value decomposition, the expressions for the least-square solutions, which are antisymmetric orthogonal anti-symmetric matrix, of matrix equation AX = B on the linear manifoid are established. In addition, we have presented the optimal approximation to a given matrix.

关 键 词：反对称正交反对称矩阵 最小二乘 奇异值分解 最佳逼近 

分 类 号：O241.6[理学—计算数学]