How to run an Optimization function in Matlab? Minimize function

Hello, So I have a simple optimization problem that consist of finding a value for a variable that minimizes the difference between two other variables. For example, First input element; An Arbitrary value of X=10. Q=100; B=X*Q; C=50; The objective is to find the value of X that minimizes the difference between (X*Q) & C; f(X)=(X*Q)-C; Is there a function that will give this output or do I need to run a loop that keeps solving for X until it finds a value that minimizes the function f(X)? Thank you so much Matlab pros!

Answer 1

[Matt J]

X=Q\C ?

If B is a non-linear function of X, maybe you are looking for fzero, fsolve, or lsqcurvefit.

[Amine Ben Ayara]

Hello Matt, B is a linear function; B is simply the product of X & Q. I saw several methods in matlab help site to solve an optimization problem but I did not quite understand.

[Matt J]

Amine,

As I said, the appropriate solver for linear B is just mldivide, i.e.,

X=Q\C