Use of $\arg\max$

Question

I need help with writing out a function with arg max. I have a vector $\mathbf{h}$, I would like to select the index that corresponds to the m-dominant values in $\mathbf{h}$. Thanks in anticipation for you any response that can help.

Answer 1

For vectors ${\bf h}\in{\mathbb R}^n$ define ${\bf h}^>$ to be the vector obtained by rearranging the entries of ${\bf h}$ in decreasing $(\geq)$ order. Then the $m^{\rm th}$ largest entry of ${\bf h}$ is $h^>_m$.