matlab fmincon

The fmincon function in Matlab is used to minimize a function subject to constraints. It is a powerful optimization tool that can be used for a wide range of problems.

The basic syntax for using fmincon is as follows:

[x,fval,exitflag,output] = fmincon(fun,x0,A,b,Aeq,beq,lb,ub,nonlcon,options)

Here,

- `fun` is a function handle that returns the objective function value and its gradient.
- `x0` is the initial guess for the solution.
- `A` and `b` are the inequality constraints.
- `Aeq` and `beq` are the equality constraints.
- `lb` and `ub` are the lower and upper bounds on the variables.
- `nonlcon` is a function handle that returns the nonlinear constraints.
- `options` is an optional structure that specifies various options for the optimization algorithm.

The output arguments are:

- `x` is the solution found by the optimization algorithm.
- `fval` is the objective function value at the solution.
- `exitflag` is a flag that indicates the exit status of the optimization algorithm.
- `output` is a structure that contains information about the optimization process.

Overall, fmincon is a powerful tool that can be used to solve a wide range of optimization problems.