A new family of preconditioned iterative solvers for nonsymmetric linear systems Original Research Article

A new family of iterative methods, the family of EN-like methods, is introduced, and its relationship to other methods is investigated. The complexity and convergence behavior of the new methods as well as their restarted and truncated versions are examined. The methods are also shown to be suitable in the context of inner/outer iteration schemes. Their adaptive versions are included into a robust software package PARASPAR, and numerical experiments are presented, which demonstrate the efficiency of several members of this new family in comparison with other known methods.