The Madison, A Loews Hotel – A Federalist Inspiration Established in 1963 and re-established in 2003, The Madison, A Loews Hotel is a Washington, DC landmark, which holds a unique position in the city's history as its most internationally celebrated hotel. The Madison blends early 19th century design traditions with the amenities and services expected of a world-class contemporary luxury hotel. The Madison blends early 19th century design traditions with contemporary amenities.