The simplest thing I can recommend is to try tinkering with your computer's display resolution. Your particular model of TV has been known to cause problems (or so I read) if an inputted video resolution isn't comaptible. Most often, problems occur with a input resolution that is too low.
Try increasing your PC's display resolution and refresh rate to the highest levels they will go before connecting to the TV.
If that doesn't work, read, re-read, and closely follow the steps given on pages 42 and 43 of your user manual.
link
If that still doesn't fix 'er for you, I might recommend trying a different serial VGA cable.