TY - JOUR
T1 - Design and Implementation of the ScaLAPACK LU, QR, and Cholesky Factorization Routines
AU - Choi, Jaeyoung
AU - Dongarra, Jack J.
AU - Susan Ostrouchoy, L.
AU - Petitet, Antoine P.
AU - Clint Whaley, R.
AU - Walker, David W.
PY - 1996
Y1 - 1996
N2 - This article discusses the core factorization routines included in the ScaLAPACK library. These routines allow the factorization and solution of a dense system of linear equations via LU, QR, and Cholesky. They arc implemented using a block cyclic data distribution, and are built using de facto standard kernels for matrix and vector operations (BLAS and its parallel counterpart PBLAS) and message passing communication (BLACS). In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without a significant loss in performance. We present the details of the implementation of the ScaLAPACK factorization routines, as well as performance and scalability results on the Intel iPSC/860, Intel Touchstone Delta, and Intel Paragon System.
AB - This article discusses the core factorization routines included in the ScaLAPACK library. These routines allow the factorization and solution of a dense system of linear equations via LU, QR, and Cholesky. They arc implemented using a block cyclic data distribution, and are built using de facto standard kernels for matrix and vector operations (BLAS and its parallel counterpart PBLAS) and message passing communication (BLACS). In implementing the ScaLAPACK routines, a major objective was to parallelize the corresponding sequential LAPACK using the BLAS, BLACS, and PBLAS as building blocks, leading to straightforward parallel implementations without a significant loss in performance. We present the details of the implementation of the ScaLAPACK factorization routines, as well as performance and scalability results on the Intel iPSC/860, Intel Touchstone Delta, and Intel Paragon System.
UR - http://www.scopus.com/inward/record.url?scp=0030244536&partnerID=8YFLogxK
U2 - 10.1155/1996/483083
DO - 10.1155/1996/483083
M3 - Article
AN - SCOPUS:0030244536
SN - 1058-9244
VL - 5
SP - 173
EP - 184
JO - Scientific Programming
JF - Scientific Programming
IS - 3
ER -