【摘要】 给出了求解非线性方程组的秩１反拟牛顿迭代法，并证明了其在一定条件下收敛及具有超线性敛速或二阶敛速，且其每步的计算量少于著名的Ｂｒｏｙｄｅｎ秩１修正方法的计算量，计算实例表明，该方法是较有效的。更多还原

【Abstract】 This paper presents a single rank inverse quasi-Newton iterative method for solvingnon-linear simultaneous equations,and proves that it is superlinear convergence or quadraticconvergence under some conditions. The amount of calculation per iterative step of this method isless than that of Broyden,s single rank quasi-Newton method. The numerical results show thehigh efficiency of the new method.更多还原