实反次对称矩阵的对角化  

Diagonal One of Real Anti-sub-symmetric Matrix

作　　者：陶鲜花[1] 

机构地区：[1]茂名学院数学系,广东茂名525000

出　　处：《广东工业大学学报》2005年第3期116-120,共5页Journal of Guangdong University of Technology

基　　金：茂名学院科学基金项目(203101)

摘　　要：讨论了实反次对称矩阵的次特征值与次特征向量的性质及实反次对称矩阵的对角化问题.得到了如下结论:若A为实反次对称矩阵,则存在正交矩阵P,用P、P的次转置矩阵PST分别右乘和左乘A,即可使之成为一个对角矩阵.The paper has discussed such problims as the properties of sub-eigenvalue and sub-eigenvector of real-anti-sub-symmetric matrix, and its diagonalization. Based on the above, the following result could be approached： If A is a real-anti-sub-symmetric matrix, then there exists a perpendicular matrix P. Multiplied with P and its reversal P^ST from the right and the left respectively, the matrix will become a diagonalmatrix.

关 键 词：实反次对称矩阵 次特征值 次特征向量 

分 类 号：O151.21[理学—数学]