  The 1980 IDR method plays an important role in the history of Krylov subspace
methods. It started the research of transpose-free Krylov subspace methods. In
this paper, we make a first attempt to bring back A-transpose to the research
area by presenting a new ML(n)BiCGStab variant that involves A-transpose in its
implementation. Comparisons of this new algorithm with the existing
ML(n)BiCGStab algorithms will be presented.
