NAME

SYNOPSIS

void HPL_pdrpancrN( HPL_T_panel * PANEL, const int M, const int N, const int ICOFF, double * WORK );

DESCRIPTION

Bi-directional exchange is used to perform the swap::broadcast operations at once for one column in the panel. This results in a lower number of slightly larger messages than usual. On P processes and assuming bi-directional links, the running time of this function can be approximated by (when N is equal to N0):

N0 * log_2( P ) * ( lat + ( 2*N0 + 4 ) / bdwth ) + N0^2 * ( M - N0/3 ) * gam2-3

where M is the local number of rows of the panel, lat and bdwth are the latency and bandwidth of the network for double precision real words, and gam2-3 is an estimate of the Level 2 and Level 3 BLAS rate of execution. The recursive algorithm allows indeed to almost achieve Level 3 BLAS performance in the panel factorization. On a large number of modern machines, this operation is however latency bound, meaning that its cost can be estimated by only the latency portion N0 * log_2(P) * lat. Mono-directional links will double this communication cost.

ARGUMENTS

PANEL (local input/output) HPL_T_panel *

On entry, PANEL points to the data structure containing the panel information.

M (local input) const int

On entry, M specifies the local number of rows of sub(A).

N (local input) const int

On entry, N specifies the local number of columns of sub(A).

ICOFF (global input) const int

On entry, ICOFF specifies the row and column offset of sub(A) in A.

WORK (local workspace) double *

On entry, WORK is a workarray of size at least 2*(4+2*N0).

SEE ALSO