LaTeX How to Write Optimization Problems in LaTeX?

[nikilp]

I am trying to write something like:

minimize
{w \in \mathbb{C}^N}

You can see it in the attached file. It is written in MathType. I want to do the same in LaTeX.
One way (not so correct) is to use "min" instead of "minimize":

\displaystyle \min_{w \in \mathbb{C}^N}

 

[D H]

\underset{w\in \mathbb C^N}{\text{minimize}}

 

[nikilp]

thank you!