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arxiv: 1311.0583 · v1 · pith:5QJ4YKMJnew · submitted 2013-11-04 · 🧮 math.NA · cs.NA

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

classification 🧮 math.NA cs.NA
keywords a-transposebicgstabkrylovmethodsresearchsubspacevariantalgorithm
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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.

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