反对称正交反对称矩阵的反问题可解的条件  

The Solvability Conditions for Inverse Problems of Anti-symmetric Orthogonal Anti-symmetric Matrices

作　　者：景何仿[1] 尤传华[2] 李春光[1] 

机构地区：[1]西北第二民族学院数值计算与工程应用研究所,宁夏银川750021 [2]兰州大学数学与统计学院,甘肃兰州730000

出　　处：《宁夏大学学报（自然科学版）》2005年第4期293-296,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：国家民委重点课题基金资助项目

摘　　要：讨论了反对称正交反对称矩阵的反问题．首先,得到了反问题可解的充分必要条件及可解时解集合的表达式;其次,给出了可解时解集合中与给定矩阵最佳逼近的解;最后,给出了算法及例子．The inverse problem of anti-symmetric orthogonal anti-symmetric matrices is discussed in this paper. The solvability conditions and the expression of the general solution for this problem are obtained. When it is solvable, the unique solution which is the optimal approximation to a given matrix is also given. In addition, an algorithm and an example for this problem are presented.

关 键 词：反对称正交反对称矩阵 反问题 最佳逼近 

分 类 号：O241.6[理学—计算数学]