写一个matlab程序Fibonacci法极小化函数
时间: 2023-12-10 20:06:02 浏览: 147
以下是一个用MATLAB编写的Fibonacci法极小化函数的程序示例:
```matlab
function [x_min, f_min] = fibonacci(f, a, b, tol)
% Fibonacci法寻找极小值
% 输入参数:
% f - 待极小化的函数句柄
% a, b - 初始搜索区间
% tol - 收敛精度
% 输出参数:
% x_min - 极小值点
% f_min - 在极小值点处的函数值
% 计算Fibonacci数列
n = 0;
fib_n2 = 0;
fib_n1 = 1;
while (fib_n1 <= (b-a)/tol)
n = n + 1;
fib_n = fib_n1 + fib_n2;
fib_n2 = fib_n1;
fib_n1 = fib_n;
end
% 初始化搜索区间
x1 = a + (b-a)*fib_n2/fib_n1;
x2 = a + (b-a)*fib_n1/fib_n1;
f1 = f(x1);
f2 = f(x2);
% 迭代搜索过程
for i = 1:n-1
if (f1 < f2)
b = x2;
x2 = x1;
f2 = f1;
x1 = a + (b-a)*fib_n2/fib_n(i+2);
f1 = f(x1);
else
a = x1;
x1 = x2;
f1 = f2;
x2 = a + (b-a)*fib_n1/fib_n(i+2);
f2 = f(x2);
end
end
% 返回结果
x_min = (a + b)/2;
f_min = f(x_min);
end
```
你只需要定义你需要极小化的函数 f,以及初始搜索区间 [a,b] 和收敛精度 tol,就可以调用这个函数来寻找函数的极小值点和极小值。
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