How do you represent the number of iterations in the formulation of an optimization problem?

47 Views Asked by At

Let's say I want to minimize some function for f(x), with respect to x, in the minimum number of iterations. How would I represent the number of iterations in the formulation of this optimization problem?

If I just want to minimize some function for f(x) with respect to x, I know I can write it out as:

$\min_{x} f(x)$

If I want to minimize that in the minimum number of iterations, could I write it out like this?

$\min_{x} (f(x) + \sum_{i=1}^{n} 1)$ where n is the number of iterations