ML(nn)BiCGStabt: A ML(nn)BiCGStab variant with A-transpose

The 1980 IDR method (Wesseling and Sonneveld, 1980  [12]) plays an important role in the history of Krylov subspace methods. It started the research of transpose-free Krylov subspace methods. The ML(nn)BiCGStab method (Yeung, 2012) is one of such methods. In this paper, we present a new ML(nn)BiCGStab variant that involves A-transpose in its implementation. Comparison of this new algorithm with the existing ML(nn)BiCGStab algorithms and some other Krylov subspace algorithms will be presented.