摘要
针对牛顿法公式的局限性,利用非线性方程组F(x)=0的一个同解方程组的牛顿法公式,构造了求解非线性方程组F(x)=0的一个迭代法公式,牛顿法迭代公式是其特例,并讨论了其收敛性,通过算例说明了算法的有效性.
Aiming at the limitation of Newton iterative formula, using Newton iterative method for system of nonlinear equations, new iterative method for solving system of nonlinear equations is constructed in this paper. Newton iterative method is a special case of this method,the convergence is presented and the numerical results are given to illustrate the efficiency of this methods.
出处
《甘肃联合大学学报（自然科学版）》
2009年第1期116-117,125,共3页
Journal of Gansu Lianhe University :Natural Sciences
关键词
非线性方程组
迭代法
牛顿迭代公式
收敛性
system of nonlinear equations
iterative method
Newton iterative formula
convergence
