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Restarted simpler GMRES augmented with approximate errors. (English) Zbl 1108.65026

The authors describe a simpler form of the restarted flexible generalized minimal residual method (LGMRES) which augments the standard GMRES approximation space with approximation to the error from previous restart cycles. The augmented simpler Arnoldi process is presented to describe the simpler LGMRES. Formulae for the angles between residuals are derived. Numerical experiments compare the simpler LGMRES with LGMRES.

MSC:

65F10 Iterative numerical methods for linear systems
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