how to minimize a function in matlab

To minimize a function in Matlab, you can use the built-in function fminsearch. This function finds the minimum of a scalar function of one or more variables using the Nelder-Mead simplex algorithm.

Here is an example of how to use fminsearch to minimize a simple function:

main.m
% Define the function to be minimized
f = @(x) x(1)^2 + x(2)^2;

% Set the starting point for the optimization
x0 = [1 1];

% Call fminsearch to find the minimum
x = fminsearch(f, x0);

% Print the result
disp(['Minimum found at x = (' num2str(x(1)) ', ' num2str(x(2)) ')']);
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In this example, the function being minimized is f(x) = x1^2 + x2^2, and we are starting the optimization at the point (1, 1). The fminsearch function returns the point (0, 0), which is the minimum of the function.

Note that in order to use fminsearch, you need to define your function as an anonymous function (using @(x)), and the input must be a vector x.