A note on relaxed and flexible GMRES

  title={A note on relaxed and flexible GMRES},
  author={Luc Giraud and Serge Gratton and Julien Langou},
We consider the solution of a linear system of equations using the GMRES iterative method. In [3], a strategy to relax the accuracy of the matrix-vector product is proposed for general systems and illustrated on a large set of numerical experiments. This work is based on some heuristic considerations and proposes a strategy that often enables a convergence of the GMRES iterates xk within a relative normwise backward error less than a target accuracy. Finally a significant step toward a… CONTINUE READING