摘要
提出了双重正交特征向量概念,从线性变换角度出发给出了线性变换可正交次对角化的若干充要条件及相关的证明.并由此推得反对称变换必可正交次对角化,给出了正交次对角化的具体方法.
The concepts of dual orthogonal latent vector are given. Some sufficient and necessary conditions of orthogonal sub - diagonalization of linear transformation are obtained. Then a inference that skew - symmetric transformation can be orthogonal sub - diagonalizated is obtained and the method of orthogonal sub - diagonalization is gived.
出处
《哈尔滨师范大学自然科学学报》
CAS
2006年第1期42-46,共5页
Natural Science Journal of Harbin Normal University
关键词
线性变换
双重正交特征向量
正交次对角化
矩阵
Linear transformation
Dual orthogonal latent vector
Orthogonal sub -diagonalization
