n维线性空间中标准正交基算法的研究  

Studies on the orthemetic of unit orthogonal Basis in n-dimension linear space

作　　者：王建平[1] 张香伟[2] 侯金超[1] 孙成金[1] 

机构地区：[1]河南农业大学基础科学学院,河南郑州450002 [2]郑州师专数学系,河南郑州450002

出　　处：《商丘师范学院学报》2005年第5期58-60,共3页Journal of Shangqiu Normal University

摘　　要：给出了n维线性空间V中基向量组的标准正交化过程的新方法,这种方法仅仅采用列的初等变换的方法,该方法思路简洁,算法简单,计算机编程设计简单有效.In this paper, a general method of the orthogonalizing basis vectors set to be unit orthogonal basis in the n-dimension linear space is proposed, It has only use elementary transformation of column, and Not only is train of thoughts new and original, but also its orithmetic is very forthright, Programmer are given to demonstrate the validity of this method for solving this kind of problems.

关 键 词：基 初等变换 消法矩阵 单位上三角矩阵 正交基 标准正交基 正定矩阵 

分 类 号：O151.21[理学—数学]