I have a new Dell Optiplex 9010 desktop PC with an AMD Radeon HD 7570 graphics card inside, with OpenSUSE 12.2 64-bit, KDE, installed.  I don't plan on using this for gaming, but I thought I'd post my concern in the forums here in the AMD forums because I'm desperate for answers.  Running OpenSUSE, it stops at a message that says, "Started Postfic Mail Transport Agent".  I rebooted, and selected the "recovery mode" in the GRUB2-EFI menu.  The "Display Info" section of "My Computer"
  Vendor: ATI Technologies Inc
  2D Driver: fbdev
  3D Driver: Unknown Gallium (8.0.4)

I installed fglrx64_xpic_SUSE122 through the 1-click installer in https://en.opensuse.org/SDB:AMD_fglrx, and restarted the PC.  The installation seems somewhat successful, since I could start OpenSUSE under its normal mode (not just recovery mode).  The "Display Info" section of "My Computer" now shows:
  Vendor: ATI Technologies Inc
  2D Driver: fglrx

Two new problems arose, however: (1) While the screen had the normal resolution, the graphics response was very slow, e.g. simply dragging/moving an open application across the screen is very laggy/unsmooth, and (2) there is a semi-transparent box on the lower-right hand corner of my screen saying "AMD Unsupported Hardware".

In order to solve these, I firstly tried to update everything through "zypper up", and restarted. This solved problem (1).  Also, the "Display Info" section of "My Computer" now shows:
  Vendor: ATI Technologies Inc
  2D Driver: fglrx
  3D Driver: ATI

However, the box on the lower-right hand corner of my screen saying "AMD Unsupported Hardware" still remained. I updated the Linux kernel from 3.4.11 to 3.7.2, but this didn't solve the problem.

I then tried the AMD Catalyst 12.10 Proprietary Linux x86 Display Driver as downloaded from support.amd.com.  This method seems unsuccessful because when I select "Install Driver 9.002 on X.Org 6.9 or later 64-bit", since I get the message "Your graphics adapter is not supported by this driver.  Installation will not proceed."  If I select Generate Distribution Specific Driver Package > SuSE/SUSE-autodetection" and then run "aticonfig --initial", I get the message "aticonfig: No supported adapters detected."

How do I get rid of the "AMD Unsupported Hardware" message?  Or does my failure to remove this perhaps mean that AMD Radeon HD 7570 graphics cards are currently not Linux-compatible?