schwefel函数matlab代码
时间: 2023-11-25 09:06:32 浏览: 44
以下是Schwefel函数的Matlab代码实现:
```matlab
function y = schwefel(x)
% Schwefel function
% x: input vector of size n
% y: output scalar
n = length(x);
y = 418.9829*n - sum(x.*sin(sqrt(abs(x))));
end
```
你可以将该函数保存为一个名为 `schwefel.m` 的文件,然后在Matlab中调用该函数进行测试和优化。
相关问题
Schwefel’s fuction函数
Schwefel's function is a mathematical function used in optimization problems. It is defined as:
f(x) = - sum from i=1 to n of (x_i * sin(sqrt(abs(x_i))))
where x is a vector of n-dimensional real numbers. The function has multiple local minima and one global minimum at the point (420.9687,..., 420.9687) with a value of -418.9829. It is often used as a test function for optimization algorithms.
matlab 优化算法测试函数
Matlab中有很多优化算法可以使用,测试函数也有很多,以下是一些常用的测试函数:
1. Rosenbrock函数:
$$f(x) = \sum_{i=1}^{n-1} [100(x_{i+1}-x_i^2)^2 + (1-x_i)^2]$$
2. Rastrigin函数:
$$f(x) = \sum_{i=1}^{n} [x_i^2 - 10\cos(2\pi x_i) + 10]$$
3. Ackley函数:
$$f(x) = -20\exp\left(-0.2\sqrt{\frac{1}{n}\sum_{i=1}^{n}x_i^2}\right)-\exp\left(\frac{1}{n}\sum_{i=1}^{n}\cos(2\pi x_i)\right)+20+e$$
4. Griewank函数:
$$f(x) = \frac{1}{4000}\sum_{i=1}^{n}x_i^2 - \prod_{i=1}^{n}\cos(\frac{x_i}{\sqrt{i}})+1$$
5. Schwefel函数:
$$f(x) = \sum_{i=1}^{n}[-x_i\sin(\sqrt{|x_i|})]$$
这些函数都是常用的优化算法测试函数,你可以在Matlab中使用fminsearch、fminunc、fmincon等函数来进行优化算法的测试。