Writing this Matrix in Latex

I want to write this matrix in Latex:

I wrote this code:

$\begin{bmatrix} 0 \ldots 0 & 0 \ldots 0 & d_{i,L} & * \ldots *\\ 0 \ldots 0 & 0 \ldots d_{i,L-1} & * & * \ldots *\\ \vdots & \vdots & \vdots & \vdots\\ 0 \ldots d_{i,1} & * \ldots * & * & * \ldots *\\ \end{bmatrix}$

How do I improve upon it?/

Thanks for the help!!

$$\Delta(\left|v_{i}\right>)= \begin{bmatrix} 0 & \ldots & 0 & 0 & \ldots & 0 & d_{i,L} & * & \ldots & *\\ 0 & \ldots & 0 & 0 & \ldots & d_{i,L-1} & * & * & \ldots & *\\ \vdots & \iddots & \vdots & \vdots & \iddots & \vdots & \vdots & \vdots & \iddots & \vdots\\ 0 & \ldots & 0 & d_{i,2} & \ldots & * & * & * & \ldots & *\\ 0 & \ldots & d_{i,1} & * & \ldots & * & * & * & \ldots & *\\ \end{bmatrix}$$