So I'm wondering, first off, where I can read up to get a feel for state-of-the-art matrix multiplication concepts. I'll try to be more specific:
I'm wondering if there has been research on circuits that compute a pre-defined matrix function. For instance, if we have a function such as $(AB)+C+(DEF)(AB)$, where all the variables are matrices with given sizes, how efficient can we make a circuit that computes this function? I've been toying with an idea in which the entries are all computed modulo $p$. So I'm wondering, broadly, what I can read up on to be up-to-date.