I'm attempting to connect my Playstation 3 to my computer monitor. The monitor has a DVI-D (dual link) input, so before distinguishing between the different DVI varieties, I bought a DVI-I (dual link) to HDMI converter that won't fit into the port on the monitor (not only that, there isn't enough physical space in the back of the monitor to fit that much stuff before it hits the bottom of it). So I grabbed a DVI-D (single link) cable and got a female-to-female DVI-I coupler, and plugged the DVI-D cable into the monitor and the whole mess of converters. The end result was HDMI to DVI-D single link, but my monitor isn't receiving a signal on its digital channel.

(For clarity's sake: DVI-D DL input on Monitor, DVI-D SL cable, DVI-I DL female-to-female coupler, DVI-I DL to HDMI converter, HDMI output on PS3)

I don't know much about this stuff (obviously), but my educated guess is that the bandwidth of the PS3 is too high for the DVI-D Single Link cable, so nothing's getting through. Will replacing the single link cable with dual link resolve this? If not, is it possible at all?

Oh, I should mention I'm aware I won't get audio through the monitor. I have an RCA to 3.5mm converter for that.