Well, one way to do it would be to simply apply a low gloss floor finish like S. C. Johnson Wax's "Carefree Matte". I use Carefree Gloss on all my vinyl composition tile floors, and I'm very happy with it.
The problem with this gameplan is that in order to properly maintain the floor finish on a floor, you need to periodically scrub off the dirty surface layer and apply another coat of finish. And, there's not a person born that's able to scrub off the dirty surface layer of a floor finish by hand. For that you need to beg, borrow or steal a floor machine like the ones on the right side of this web page:
http://www.centaurmachines.com/
On the right side of that page, you see someone cleaning a carpet with a wool bonnet on a floor machine. The 2nd and 3rd pictures show someone using a floor machine with a rotating brush to clean ceramic tile floors.
So, you can apply a coat of matte floor finish to your tile floors, but in order to keep that floor looking new for many many years, you need to buy at least a used 12 inch diameter floor machine for about $300 or so, and a drive block and rotary cleaning brush for another $100 I figure.
But, the results are worth it to some people. Because you're replacing the surface finish on the floor, you can spruce up the look of the floor whenever you machine scrub it and put on a new coat of finish.
Take a look at the floors in my building.
http://www.ilos.net/~nkelebay
All the vinyl composition tile floors you see there were done a minimum of 10 years ago. They're glossy because I scrub off the dirty surface layer after each tenant vacates and apply a new coat of finish. I purchased a "Rabbit II" floor machine made by Centaur for $1700 new back in 1987, and I use it to maintain all the vinyl composition tile floors in the building.