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This is still a work in progress version of BiCGStab(ℓ). It is based on the original article, uses BLAS and includes left preconditioning.
 Sleijpen, Gerard LG, and Henk A. Vorst. "Maintaining convergence properties of BiCGstab methods in finite precision arithmetic." Numerical Algorithms 10.2 (1995): 203-223.
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At the moment I don't think it is completely necessary to implement the improvements from the papers. The thing is there is no standard implementation of BiCGStab(ℓ) and there's a lot of freedom.
The current implementation works fine for moderate values of