牛顿拉斐逊 [英] Newton Raphson

问题描述

请，我需要一个用java语言编写的程序来解决下面这个问题：

- 应用Newton Raphson方法，找到3x-2tanx = 0的根，假设馅饼之间存在根/ 6和pie / 3.

谢谢。

Please, I need a program in java language to solve the question below:
-By applying Newton Raphson method,find the root of 3x-2tanx=0 given that there is a root between pie/6 and pie/3.
Thank you.

推荐答案

请，我需要一个用java语言编写的程序来解决下面的问题：

- 应用Newton Raphson方法，找到3x-2tanx = 0的根，假设在pie / 6和pie / 3之间有一个根。

谢谢。

Please, I need a program in java language to solve the question below:
-By applying Newton Raphson method,find the root of 3x-2tanx=0 given that there is a root between pie/6 and pie/3.
Thank you.

您需要该表达式的一阶导数才能执行NR步骤。

你要么自己想出一个，要么近似它如下：


f''（x）==（f（x + h）-f（x））/ h表示小的h值。 NR步骤很简单：


x（n + 1）== x（n）-f（x（n））/ f''（x（n））


亲切的问候，


Jos

You need the first derivative of that expression in order to perform a NR step.
You either figure that one out yourself or you approximate it as follows:

f''(x) == (f(x+h)-f(x))/h for a small value of h. The NR step is simply:

x(n+1) == x(n)-f(x(n))/f''(x(n))

kind regards,

Jos

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Mmmmmmmmmmmmmmmmm ...馅饼！

Mmmmmmmmmmmmmmmmmm... pie!

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