muller算法求方程解 c++
时间: 2023-06-18 11:04:36 浏览: 76
Muller算法是一种用于求解复杂方程根的数值方法。下面是一个使用C++实现的Muller算法的示例代码:
```c++
#include <iostream>
#include <cmath>
using namespace std;
double f(double x) {
// 定义要求解的方程
return x * x - 3 * x + 2;
}
double muller(double x0, double x1, double x2) {
double eps = 1e-6;
double h1 = x1 - x0;
double h2 = x2 - x1;
double d1 = (f(x1) - f(x0)) / h1;
double d2 = (f(x2) - f(x1)) / h2;
double d = (d2 - d1) / (h2 + h1);
double a = d;
double b = d2 + h2 * d;
double c = f(x2);
double x = x2 - (2 * c) / (b + sqrt(b * b - 4 * a * c));
double x_prev = x2;
while (abs(x - x_prev) > eps) {
x_prev = x;
h1 = x - x1;
h2 = x1 - x0;
d1 = (f(x1) - f(x0)) / h2;
d2 = (f(x2) - f(x1)) / h1;
d = (d2 - d1) / (h2 + h1);
a = d;
b = d2 + h2 * d;
c = f(x);
x = x - (2 * c) / (b + sqrt(b * b - 4 * a * c));
}
return x;
}
int main() {
double x0 = 0.0;
double x1 = 1.0;
double x2 = 2.0;
double root = muller(x0, x1, x2);
cout << "The root is: " << root << endl;
return 0;
}
```
在上面的代码中,我们定义了要求解的方程f(x),并使用Muller算法求解方程的根。在main函数中,我们定义了x0、x1和x2作为Muller算法的初始猜测值,然后调用muller函数来求解方程的根。最终,程序输出求得的根的值。