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

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摘要

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(n)BiCGStab method (Yeung, 2012) is one of such methods. In this paper, we present a new ML(n)BiCGStab variant that involves A-transpose in its implementation. Comparison of this new algorithm with the existing ML(n)BiCGStab algorithms and some other Krylov subspace algorithms will be presented.

论文关键词:primary,65F10,65F15,secondary,65F25,65F30,IDR,CGS,BiCGStab,ML(n)BiCGStab,Multiple starting Lanczos,Krylov subspace

论文评审过程:Received 18 January 2013, Revised 27 January 2014, Available online 24 April 2014.

论文官网地址:https://doi.org/10.1016/j.cam.2014.04.011