Where is the 'main' method?
Doesn't have one. Just write
new Sudoku().solve();
into your main to try it out.
@Lykos: This looks like an assignment where you only implemented some of the methods.
There are still comments like
//complete this method
* This method is complete. Do not change this method.
That means you didn't program all of it and not saying so isn't a nice way.