• 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). ...
    • 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 ...
    • closedAccess   Load-balancing Sparse Matrix Vector Product Kernels on GPUs 

      Anzt, Hartwig; Cojean, Terry; Yen-Chen, Chen; Dongarra, Jack; Flegar, Goran; Nayak, Pratik; Tomov, Stanimire; Tsai, Yuhsiang M.; Wang, Weichung Association for Computing Machinery (ACM) (2020-03)
      Efficient processing of Irregular Matrices on Single Instruction, Multiple Data (SIMD)-type architectures is a persistent challenge. Resolving it requires innovations in the development of data formats, computational ...
    • closedAccess   Variable-size batched Gauss–Jordan elimination for block-Jacobi preconditioning on graphics processors 

      Anzt, Hartwig; Dongarra, Jack; Flegar, Goran; Quintana-Orti, Enrique S. Elsevier (2019)
      In this work, we address the efficient realization of block-Jacobi preconditioning on graphics processing units (GPUs). This task requires the solution of a collection of small and independent linear systems. To fully ...