摘要
提出求了解非线性代数方程的值域根值迭代算法,该方法利用猜测根值代入非线性代数方程,将其转化成代数方程组,进行迭代计算,由此推导出不带导数形式的迭代算法,并给出该迭代格式的收敛性证明。最后计算实例表明,该迭代方法形式简单,收敛速度快,且易于计算机编程计算。
A new iterative method of rang was proposed in this article.The method transformed from nonlinear algebraic equation to some simple form of algebraic equations base on the conjectural roots,then a new iterative method without the form of differential coefficient was deduced and the convergence performance of this method was proved.This method has a fast convergence speed and easy for programming calculation demonstrated by simulation results.
出处
《装备制造技术》
2011年第4期40-43,共4页
Equipment Manufacturing Technology
关键词
数值分析
非线性代数方程
猜测根值
迭代法
nonlinear algebraic equation
conjectural roots
iterative algorithm