施密特正交化的几何解释及代码实现

Geometric Interpretation of Schmidt Orthogonalizationand the Code Implementation

通过使用向量的基本知识,演示在三维空间中施密特正交化,用计算机代码实现施密特正交化基本算法,分析易理解的二维和三维空间中施密特正交化的几何解释,利用待定系数法推导学习施密特正交化,帮助学者理解施密特正交化。

In this paper,the basic knowledge of vector is used to demonstrate the Schmidt orthogonalization in three-dimensional space,the basic algorithm of Schmidt orthogonalization is realized by computer code,the geometric explanation of Schmidt orthogonalization in two-dimensional and three-dimensional space is analyzed,and the method of undetermined coefficient is used to deduce and learn Schmidt orthogonalization,so as to help scholars to understand Schmidt orthogonalization.