I have an Asus which has been giving me fits.
This U56E-BAL7 will only run in safe mode. It's running Win 7 Home Premium, Svc pk 1, 2GB Ram with an i5-2450 CPU @ 250 GHz.
I have run all of the cleaning and security tools that I'm aware of: MBAM, CCleaner, Superantispyware, ESET and the list goes on. I have also reinstalled the operating system.
In addition, I purchased and installed a new CPU fan, and replaced thermal compound.
There is no error warning, it just shuts itself off, then reboots itself. In "Safe Mode", it runs fine.