中文摘要：

对一类奇异非线性方程组,运用Moore-Penrose广义逆建立牛顿迭代法,分析了其局部收敛性、半局部收敛性以及收敛半径的估计,数值例子也表明了算法的有效性.

英文摘要：

Moore-Penrose inverse was used to construct Newton＇s method for solving a class of singular nonlinear equations. The local and semilocal convergence were established,and the radius of convergence ball was also obtained. The validity of the algorithm was indicated by a numerical example.