minimum of a function in matlab in matlab

Matlab provides several optimization functions to minimize a given function. One of the most common functions is the fminsearch function, which uses the Nelder-Mead simplex algorithm.

Here is an example usage of the fminsearch function:

main.m
% Define the function to be minimized
f = @(x) x^2 + 3*x + 4;

% Call fminsearch with an initial guess of x = 0
x0 = 0;
x_min = fminsearch(f, x0);

% Print the minimum value of the function
fprintf('Minimum value of f(x) = %f\n', f(x_min));
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In this example, the fminsearch function is called with an anonymous function f that defines the function to be minimized. The x0 variable defines the initial guess for the minimum value of the function. The x_min variable contains the optimized value of x that gives the minimum value of the function.

You can also specify additional options to the fminsearch function, such as tolerances or maximum number of function evaluations. Refer to the Matlab documentation for more details about the fminsearch function and its options.