I downloaded the driver http://support.amd.com/ru-ru/download/desktop?os=Linux+x86 but it is not installed.
Which driver do I need to download?
3.2.0-23-generic Linux Mint 13 x86
You will get better responses by moving your post to the linux forum > Linux & Apple Boot Camp
I've moved the thread to the right section.
AMD Graphics Drivers and Software and select manually your card and OS (you should arrive to the 13.1-th version).