Fault with its main board. Short circuited component/s at it. Contact any service technician; or the authorized service center. If you wish to get some details; check the site linked here. Surf the site with patience. Pull up older posts.
http://electronicshelponline.blogspot.com/ . In most cases, the main board might have to be replaced. If so, a software [firmware] update too might be necessary.
I have the same problem. Sometimes the set finally turns on after about 30 minutes. Usually it takes about a half a day. I once waited a day and a half and it was finally on when I came back from work.
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