摘要
关于矩阵的QR分解,目前文献中多利用Householder矩阵变换、Doolittle分解、矩阵QR分解公式、对矩阵的列向量进行标准正交化和对矩阵进行列初等变换等方法,这些方法的共同特点是计算复杂且容易出错.给出了用矩阵的行列初等变换实现矩阵的QR分解的一种简便方法.
In present references, the methods of QR decomposition of matrix depended mainly on Householder matrix transformation, the Doolittle decomposition, matrixQR decomposition formula, standardized orthogonal to matrix＇s column vector and column elementary transformation to matrix. But these methods used usually make mistakes easily because of its computing complex. Given out a simple method of computing the QR decomposition of matrix by using pairs of row and column operations.
出处
《高师理科学刊》
2008年第3期19-20,37,共3页
Journal of Science of Teachers＇College and University
关键词
矩阵
QR分解
初等变换
正交化
matrix
QR decomposition
elementary transformation
orthogonalization
