欧氏空间子空间的标准正交基的一种全新的求法──Givens变换法

A New Method of Construction of Orthonormal Basis in Some Subspace of Euclidean Space─Givens Transformation

对欧氏空间的Schmit正交化过程加以分析，将一组向量组成的矩阵A作类似于非奇异矩阵的QR分解，利用正交矩阵可以表示成一系列初等旋转矩阵乘积，给出了一组基为标准正交基的方法，该方法权对A左连乘初等旋转矩阵就可得到需要的结果．

Based on the analysing of Schmit ortbonormal process in Euclidean space, QR decomposition for matrix of basis vectors was made with only nonsigular matrix. The orthogonal matric can be presented by the multiplication of fundamental rotation matrix. So a method for changing a basis into a orthonormal basis was obtained for only Givens transformation.