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Why would you not just connect using a Dual link Dvi ? The 7990 and the monitors you have mentioned have this.
They do, but Rroff is talking about a HDMI cable that has the wiring to support 2560x1440/1600.
Worst comes to worst, that card has 2x displayport outputs, so you can just use one of those DP>DVI-DL converter boxes.
Why not just use the bizlink adapter you said you've got?
I'm currently using 2 of them for my 2560x1440 monitors, and the third is just on the DVI-D output.