Here is an article that talks about the importance of eye contact when dealing with other people. The author went on a personal experiment to see whether or not locking eyeballs with another person really has the effect that we all assume throughout life. I guess it's one of those things that everybody knows in an abstract sense, but never takes the time to prove to themselves in the real world.
Well, that's what this guy did - he made a point of looking directly into other people's eyes when he spoke to them, and the results were really interesting. One might suspect that others would be angered by his looks, perhaps put off, but that didn't seem to be the case. Instead, they became passive, subdominant, and self-conscious. It wasn't a look of judgment but a look of power, one that said "I'm comfortable enough with myself to gaze into you, regardless of the consequence."
I suppose the obvious response to all of this is to try it ourselves. We may be eye-holders subconsciously, or we may not, but I'm really curious to see whether or not this has an effect on other people myself, so why not give it a try?