On Ubuntu 12.04 my Sony Vaio VPCSE with Intel® HD Graphics 3000 and AMD Radeon™ HD 6630M worked fine with the Catalyst Control Center version 12.6. Also the switching between integrated and discrete graphic card was working.

In both cases, I followed this tutorial.

But it is not working on Ubuntu 12.10.

I tested the tutorial with the Catalyst Control Center from the Ubuntu Software Center, the version 12.8 and version 12.9. Always the same problem: After installation process I am able to boot in the login-screen. But after entering the password for my username, only the background-image appears. Unity seems not to be starting. I am only able to reach the context-menu by right clicking the mouse button.

I also tried his fix, but is also does not work for me.

Any ideas what to do to fix this problem?

Update:
Same problem on Ubuntu 13.04!

Update:
Solution for 13.04 ist not working on Ubuntu 13.10!