This afternoon, after removing and re-seating my perfectly functional AMD Radeon HD-8570 (not the integrated one) to perform a bit of chassis maintenance, I discovered to my dismay that the monitor, despite its clear detection of a signal from the graphics card, would only display a blank black screen. Nevertheless I could tell via auditory cues that the PC was POSTing and booting into openSUSE without any problems, and the GPU fan was spinning normally. After resetting the CMOS had no effect, I replaced the HD-8570 with an old Radeon HD-5450; the HD-5450 sent a crystal clear signal to the monitor with no problems whatsoever. The same DVI-D cable and monitor input were used with both cards. I ground myself every time I service a computer.
TL;DR: Basically, what I wish to know is whether there is any way to restore the HD-8570 to a working state. I would hate to see a good graphics card like that die an inexplicable death, especially since my best alternative at the moment is the aforementioned HD-5450. Please let me know if after reading the spoiler you would like more details.