摘要
对向量组的Schmidt正交化法和合同变换法的关系进行了分析,指出Schmidt正交化法就是合同变换法中利用规范化初等变换后的一种特殊情况,由此给出一种基于矩阵初等变换的Schmidt正交化方法——Schmidt初等变换正交化法,以及这一方法在软件Matlab上实现的程序.
The relationship between the Schmidt orthogonalization method and the congruent transformation method for orthogonalizing the vector group is analyzed.It is pointed out that the Schmidt orthogonalization method is a special case of the congruent transformation method by using normalized elementary transformation.Thus a novel orthogonalization method based on elementary transformation--Schmidt elementary transformation orthogonalization method is proposed and the procedure of this method on MATLAB are given.
作者
何朝葵
朱永忠
柳庆新
HE Zhao-kui;ZHU Yong-zhong;LIU Qing-xin(College of Sciences,Hohai University,Nanjing 211100,China)
出处
《大学数学》
2021年第2期42-47,共6页
College Mathematics
基金
江苏省高等教育教学改革研究课题重点课题(2019JSJG086)。
关键词
合同变换
Schmidt正交化
初等变换
congruent transformation
Schmidt orthogonalization
elementary transformation
