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非线性方程牛顿迭代法的三点注记

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针对求解非线性方程的牛顿迭代法做了三点注记:①对某些方程,任意初始值牛顿迭代法均收敛;②对某些方程,在某一区间上取初始值,牛顿迭代法不收敛;③对某些方程,迭代值交替出现,牛顿迭代法不收敛.
Three notes on Newton's iteration method for nonlinear equations
Three notes on Newton's iterative method for solving nonlinear equations are given.① For some equations,Newton's iteration method converges for any initial value.②For some equations,Newton's iteration method does not converge when the initial value is taken on a certain interval.③ For some equa-tions,iteration values of Newton's iteration method appear alternately,and Newton's iteration method does not converge.

nonlinear equationNewton's iteration methodinitial pointconvergence

雍龙泉

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陕西理工大学 数学与计算机科学学院,陕西 汉中 723000

非线性方程 牛顿迭代法 初始值 收敛

2024

陕西理工大学学报(自然科学版)
陕西理工学院

陕西理工大学学报(自然科学版)

影响因子:0.425
ISSN:2096-3998
年,卷(期):2024.40(6)