6533b831fe1ef96bd1299708

RESEARCH PRODUCT

Scalable Dense Factorizations for Heterogeneous Computational Clusters

Pedro AlonsoRavi Reddy ManumachuAlexey Lastovetsky

subject

ScaLAPACKComputer scienceMathematicsofComputing_NUMERICALANALYSISSymmetric multiprocessor systemParallel computingLU decompositionComputational sciencelaw.inventionMatrix decompositionFactorizationlawScalabilityLinear algebraConcurrent computing

description

This paper discusses the design and the implementation of the LU factorization routines included in the Heterogeneous ScaLAPACK library, which is built on top of ScaLAPACK. These routines are used in the factorization and solution of a dense system of linear equations. They are implemented using optimized PBLAS, BLACS and BLAS libraries for heterogeneous computational clusters. We present the details of the implementation as well as performance results on a heterogeneous computing cluster.

https://doi.org/10.1109/ispdc.2008.10