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ML(k)BiCGSTAB: A biCGSTAB variant based on multiple Lanczos starting vectors. (English) Zbl 0959.65048

A variant of the popular BiCGSTAB method for solving nonsymmetric linear systems is discussed. The new method requires less matrix-vector products to generate. It is discussed that the new method can be implemented as a \(k\)-term recurrence and can be viewed as a bridge connecting the Arnoldi-based FOM-GMRES methods and the Lanczos-based BiCGSTAB methods.

MSC:

65F10 Iterative numerical methods for linear systems
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