解非线性方程组的平方根迭代法  

Square root iterative method for solving systems of nonlinear equations

作　　者：罗远诠[1] 

机构地区：[1]大连理工大学应用数学系

出　　处：《大连理工大学学报》1992年第4期373-377,共5页Journal of Dalian University of Technology

摘　　要：在非线性方程组的牛顿方向上使用构造ｑ次方根－正则迭代法的方法，得到了解非线性方程组的一个迭代解法。它是平方根迭代法从单个方程到方程组的推广；与牛顿迭代法相比，收敛速度及收敛区域都有显著的改进。This paper gives an iterative method for solving systems of nonlinear equations, which is regarded as generalization of the square root iteration for solving transcendental equation. The method given in this paper has a faster convergence rate and a larger convergence domain than that of the Newton iterative method.

关 键 词：非线性方程 平方根法 收敛 

分 类 号：O241.7[理学—计算数学]