It is good to get an understanding of the fundamentals of software based room correction -- http://www.acousticfrontiers.com/201071room-correction-a-primer-html/

Same author, little different perspective -- http://www.hifizine.com/2010/09/the-three-acoustical-issues-a-room-correction-product-can%E2%80%99t-actually-correct/

I think I have posted this before, it mostly explains the hows and whys of FIR filters (that are the basis of how Audyssey works) in contrast to "parametric EQ". Of course there is some "propaganda" too https://audyssey.zendesk.com/entries/215529-MultEQ-vs-other-equalization-methods-

There are other folks that probably find the limitations of FIR filters detrimental, and that is why I say there is a little "propaganada" in the piece.

I also know the folks from Dirac claim to a propriety means of adjusting for room acoustics -- again, they want you to try and ultimately buy their software / products, but the mostly informative info should help understand why a traditional parametric EQ dialed for flatness (or even some suitably 'warm' target...) can't really do as much as true high resolution correction -- http://www.dirac.se/en/technologies/dirac-live/technical-description.aspx

I know that Peter is aware of these things too and it will be interesting to see how he approaches them...