关于酉对称矩阵的QR分解的注记

摘要

研究了行(列)酉对称矩阵的性质,修正了行(列)酉对称矩阵的QR分解的公式和快速算法.结果可减少行(列)酉对称矩阵的QR分解的计算量与存储量,并且不会丧失数值精度.%The properties of row (column) unitary symmetric matrix are studied. The formulas and fast calculation way for the QR factorization of row (column) unitary symmetric matrix are corrected. Those formulas could dramatically reduce the amount of calculation for QR factoriza-tion of row (column) unitary symmetric matrix, save dramatically the CPU time and memory without loss of any numerical precision.