摘要
主要研究矩阵初等变换与矩阵的QR分解的关系。讨论了第一类,第二类矩阵的初等变换对矩阵的QR分解的影响,即初等变换后新矩阵的Q矩阵和R矩阵与母矩阵的Q矩阵和R矩阵之间的定量关系。并利用第三类初等变换给出了矩阵QR分解的新方法。
Main focuse on the relationship between elementary transformation and the QR decomposition of matix are inhoduced, the affect of the fist lementary transformation of line and the second elementary rank transfor-mation to the QR decomposition of matix is discussed and a new mothed of the QR decomposition of matix by zhe category 3 elementary transformation is given.
出处
《科学技术与工程》
2009年第21期6484-6485,6491,共3页
Science Technology and Engineering
关键词
初等变换
QR分解
母矩阵
elementary transformation
QR decomposition
mother matix
