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Keywords:

  • ℝ-linear GMRES;
  • ℝ-linear systems;
  • matrix–vector product

SUMMARY

We prove that ℝ-linear GMRES for solving a class of ℝ-linear systems is faster than GMRES applied to the related ℂ-linear systems in terms of matrix–vector products. Numerical examples are given to demonstrate the theoretical result. Copyright © 2011 John Wiley & Sons, Ltd.