【摘要】 本文应用稳定性理论证明了数值求解非线性方程组f（x）=0的二个定理:1.xk+1=x₁-hJ_kTfk;2.xk+1-hJ_k^-1fk,其中;fk=■;并给出了一个全局收敛的充分条件。数值实例证明了该结论。更多还原

【Abstract】 In this paper two theorems for solving the system of nonlinear equationsare provel with the stability theory:（1）x_k+1=x_k-hJ_k^Tf_k;and（2）x_k+1=x_k-hJ_k^-1f_k(Here f_k=f（?）^-kh).The sufficient conditions for a global conver-gence are also given.The numerical examples given prove that the authors’conclusions are valid.更多还原