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HPL_pdrpancrN(3) HPL Library Functions HPL_pdrpancrN(3)
HPL_pdrpancrN - Crout recursive panel factorization.
void HPL_pdrpancrN( HPL_T_panel * PANEL, const int M, const int N,
const int ICOFF, double * WORK );
HPL_pdrpancrN HPL_pdrpancrN recursively factorizes a panel of columns
using the recursive Crout variant of the usual one-dimensional
algorithm. The lower triangular N0-by-N0 upper block of the panel
is stored in no-transpose form (i.e. just like the input matrix
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
PANEL (local input/output) HPL_T_panel *
On entry, PANEL points to the data structure containing the
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)
WORK (local workspace) double *
On entry, WORK is a workarray of size at least 2*(4+2*N0).
HPL_dlocmax (3), HPL_dlocswpN (3), HPL_dlocswpT (3), HPL_pdmxswp (3),
HPL_pdpancrN (3), HPL_pdpancrT (3), HPL_pdpanllN (3), HPL_pdpanllT (3),
HPL_pdpanrlN (3), HPL_pdpanrlT (3), HPL_pdrpancrT (3),
HPL_pdrpanllN (3), HPL_pdrpanllT (3), HPL_pdrpanrlN (3),
HPL_pdrpanrlT (3), HPL_pdfact (3).
HPL 2.1 October 26, 2012 HPL_pdrpancrN(3)