The Collaborative International Dictionary of English v.0.48:

Irrespectively \Ir`re*spec"tive*ly\
   ([i^]r`r[-e]*sp[e^]k"t[i^]v*l[y^]), adv.
   Without regard to conditions; not taking circumstances into
   consideration.
   [1913 Webster]

         Prosperity, considered absolutely and irrespectively,
         is better and more desirable than adversity. --South.
   [1913 Webster]