Interpreting IDR as a Petrov–Galerkin Method

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Interpreting IDR as a Petrov--Galerkin Method

The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov subspaces; these left subspaces are rational Krylov spaces. Consequently, other methods, such as BiCGStab and ML(s)BiCGStab, which are mathematically equivalent to some versions of IDR, can also be interpreted as Petro...

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ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2010

ISSN: 1064-8275,1095-7197

DOI: 10.1137/090774756