题解 | #求解立方根#

import java.util.Scanner;

// 注意类名必须为 Main, 不要有任何 package xxx 信息
public class Main {
    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        double v = in.nextDouble();
        double result = newton(v, 1, 0, 10);
        result = Math.round(result * 10) / 10.0;
        System.out.println(result);
    }

    private static double newton(double v, double initDot, int nowCnt,
                                 int totalCnt) {
        if (nowCnt == totalCnt) {
            return initDot;
        }
        double v1 = initDot * initDot * initDot - v;
        double v2 = 3 * initDot * initDot;
        // x1 = x0-f(x)/f'(x)
        double newDot = initDot - v1 / v2;
        return newton(v, newDot, nowCnt + 1, totalCnt);
    }
}

牛顿迭代法：

公式：x1=x0-f(x)/f'(x);

具体参考这篇博客：https://blog.csdn.net/weixin_41346635/article/details/115404645