【摘要】 给出了两种特殊类型矩阵的QR分解的改进算法,理论与数值实验说明了它们的速度比一般的QR分解要快.并且对这两种改进算法进行了基于分量的扰动分析,从而证明了它们的稳定性.更多还原

【Abstract】 Improved algorithms of QR decomposition of two particular kinds matrices are given and their speeds are much quicker than the usual algorithms of MATLAB. It is also proved theoritically and compared with numerical experiments. The componentwise perturbation analyses of these two kinds of improved algorithms are also given, then the numerical stability of these algorithms are improved.更多还原