【Abstract】 A variant of the hybrid GMRES algorithm of N.M. Nachtigal, L. Reichel, and L. N. Trefethen for solving large nonsymmetric systems of linear equations is presented. This algorithm allows the GMRES polynomial re-applied later being constructed in the course of a restarted GMRES iteration. It is described how the new hybrid scheme may offer significant performance improvements over the old one.更多还原