This seems like a hardware issue. So if replaced the graphic chipset didn't help, more needs to be replaced. That can easily be too expensive.
Kees
hi.
i have a "dell Inspiron N5010" laptop. it died once because of graphic problem(graphic beep on startup and no output screen). i had its graphic chip-set changed.
it worked fine for 2 or 3 month and then the problem started again. it crash completely so that i must press and hold power button to turn it off.
and when turning it on again, there is graphic problem beep and no screen.
the funny part is when it is in this state, i can connect it to a monitor and see the output ( with lots of noise and bad color on monitor). after connecting it to monitor and runing it for about an hour, i can restart it and it will work fine without any problem or noise or bad color till it crashes again and .....
i uninstalled the graphic driver from windows and laptops fan is always working on its highest level. this solved the problem permanently ( no crashes after that). but it can not be a driver problem. the same happens in fedora ( after update to 20, before 20 its fan was working at high level always)
it can not be overheating problem, cause just after it crashes it will work with monitor attached to its vga port.
can any body help me with this problem?

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