Probably not, since the UV light won't kill the mats themselves. The best cure is generally to increase the water movement in the areas affected, and to cut back on feeding to sort of starve it out.
It's also entirely possible that your tank is just cycling -- how old is it? I'm in the cyano phase of the cycle (the tank is around 9 months old at this point), so I have small patches here and there. Eventually it may just go away on its own. If you're running nutrient export in the form of macroalgae in the sump, the process may be hastened some.