TSIRM: A two-stage iteration with least-squares residual minimization algorithm to solve large sparse linear and nonlinear systems

@article{Couturier2016TSIRMAT,
  title={TSIRM: A two-stage iteration with least-squares residual minimization algorithm to solve large sparse linear and nonlinear systems},
  author={Rapha{\"e}l Couturier and Lilia Ziane Khodja and Christophe Guyeux},
  journal={J. Comput. Science},
  year={2016},
  volume={17},
  pages={535-546}
}
In this paper, a two-stage iterative algorithm is proposed to improve the convergence of Krylov based iterative methods, typically those of GMRES variants. The principle of the proposed approach is to build an external iteration over the Krylov method, and to frequently store its current residual (at each GMRES restart for instance). After a given number of… CONTINUE READING