With some limitations, HDMI and DVI are the same signal.
Here are the lines you have to read between to figure out what is going on: Good luck confirming this on other monitors. Unfortunately, manufacturers don't seem to actually tell anyone if a display has this capability - looks like the Dell U3011 and Philips 288p6 do as well. Despite several sources & specifications stating it is impossible, I have an HDMI output connected to a Dell U2711 DVI input at 2560 x 1440 via a simple HDMI to single link DVI-D cable, because the Dell U2711 accepts single link ~340MHz HDMI on the DVI-D inputs.