非线性方程求根简单迭代法的一种改进  

Improvement of Simple Repetitive Process on Nonlinear Equation of Extracting a Root

作　　者：韦春玲[1] 高虹霓[1] 

机构地区：[1]黄冈师范学院物理科学与技术学院,黄州438000

出　　处：《湖南工程学院学报（自然科学版）》2009年第3期39-40,共2页Journal of Hunan Institute of Engineering(Natural Science Edition)

摘　　要：通过对非线性方程求根简单迭代法的分析,提出了一个新的迭代公式,用此公式求解非线性方程根收敛速度快,且绝对收敛.此方法是用数值计算求解代数方程的比较有效的方法之一,具有一定的理论价值和应用价值.Through analyzing the nonlinear equation of extracting a root which is a simple repetitive process, the paper presents a new iterative formula by which the solutionof nonlinear equation shows rapid and absolute convergence. This new method is valuable in theory and application and is also one of the effective techniques for solving algebraic equation by numerical calculation.

关 键 词：非线性方程 迭代法 数值计算 

分 类 号：O241[理学—计算数学]