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!!
