Listar por tema "sparse linear systems"

Mostrando ítems 1-5 de 5

    • openAccess   Adaptive precision in block‐Jacobi preconditioning for iterative sparse linear system solvers 

      Anzt, Hartwig; Dongarra, Jack; Flegar, Goran; Higham, Nicholas J.; Quintana-Orti, Enrique S. Wiley (2019-03-25)
      We propose an adaptive scheme to reduce communication overhead caused by data movement by selectively storing the diagonal blocks of a block‐Jacobi preconditioner in different precision formats (half, single, or double). ...

    • openAccess   Communication in task-parallel ILU-preconditioned CG solversusing MPI + OmpSs 

      Aliaga Estellés, José Ignacio; Barreda Vayá, Maria; Flegar, Goran; Bollhöffer, Matthias; Quintana-Orti, Enrique S. Wiley (2017-11-10)
      We target the parallel solution of sparse linear systems via iterative Krylov subspace–based methods enhanced with incomplete LU (ILU)-type preconditioners on clusters of multicore processors. In order to tackle large-scale ...

    • openAccess   Compressed basis GMRES on high-performance graphics processing units 

      Aliaga Estellés, José Ignacio; Anzt, Hartwig; Tomás Domínguez, Andrés Enrique; Quintana-Orti, Enrique S.; Grützmacher, Thomas Sage (2022-08-05)
      Krylov methods provide a fast and highly parallel numerical tool for the iterative solution of many large-scale sparse linear systems. To a large extent, the performance of practical realizations of these methods is ...

    • openAccess   Energy‐aware strategies for task‐parallel sparse linear system solvers 

      Aliaga Estellés, José Ignacio; Barreda Vayá, Maria; Castaño, Asunción Wiley (2018)
      We present several energy‐aware strategies to improve the energy efficiency of a task‐parallel preconditioned Conjugate Gradient (PCG) iterative solver on a Haswell‐EP Intel Xeon. These techniques leverage the power‐saving ...

    • closedAccess   Fine-grained bit-flip protection for relaxation methods 

      Anzt, Hartwig; Dongarra, Jack; Quintana-Ortí, Gregorio Elsevier (2019-09)
      Resilience is considered a challenging under-addressed issue that the high performance computing community (HPC) will have to face in order to produce reliable Exascale systems by the beginning of the next decade. As part ...