%0 Journal Article %T 矩阵极分解计算的一个注记<br>A Note on Computing the Polar Decomposition %A 温朝涛 陈小山 %J 华南师范大学学报(自然科学版) %D 2018 %X 设$p$是大于$1$的偶数,根据方程$x^{-p}-1=0$的Newton求根公式, 给出计算非奇异矩阵酉极因子的数值方法,并证明了它具有二次收敛特性. 数值例子表明该算法是有效的.<br>:Let $p$ be an even number greater than $1$. In this paper, based on the Newton method for solving the equation $x^{-p}-1=0$, the new numerical method is proposed to compute the polar decomposition of a nonsingular matrix and its quadratic convergence is proved. Numerical examples show that this numerical method is efficient %U http://journal.scnu.edu.cn:8080/jwk_xbzrb/CN/abstract/abstract4168.shtml