I have a matrix of the following form:
$ \begin{matrix} a_1 & 0 & \ldots & 0 \\ a_2 & a_1 & \ldots & 0 \\ \vdots & \vdots & \ddots & \vdots \\ a_n & a_{n-1} & \ldots & a_1 \end{matrix} $
I'd like to know if this matrix has a special name (or even if it's a sum/product of special matrices). The thing is, I need to build this matrix in matlab, and I could use some for loops, but I'd rather use some clean builtin functions.
Thanks
Edit: I just had a thought, maybe it can be a Vandermonde matrix times some other (unknown) matrix to nullify the terms above the diagonal...