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I split the material so far at "Bousfield localization" into
and made Bousfield localization itself a dismbiguation page.
Then I edited Bousfield localization of triangulated categories a bit and added some references.
I expect it should be true that the (left) Bousfield localization of a model category whose homotopy category is a triangulated category corresponds to the Bousfield localization of that triangulated homotopy category, but I don't discuss a statement to that extent yet.
I'd be grateful for explicit pointers to the literature on this. I haven't had time yet to look much even at the literature that I do list as BLoc for triang cats. Am too busy at the moment with BLoc for mod cats.
I would expect that every Bousfield localization above does induce a Bousfield loc in triangulated case, but maybe there are localizations downstairs which are not liftable. But my knowledge about the subject is close to zero.
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