============================================================================
HPLinpack 1.0a -- High-Performance Linpack benchmark -- January 20, 2004
Written by A. Petitet and R. Clint Whaley, Innovative Computing Labs., UTK
============================================================================
An explanation of the input/output parameters follows:
T/V : Wall time / encoded variant.
N : The order of the coefficient matrix A.
NB : The partitioning blocking factor.
P : The number of process rows.
Q : The number of process columns.
Time : Time in seconds to solve the linear system.
Gflops : Rate of execution for solving the linear system.
The following parameter values will be used:
N : 8000
NB : 10 20 30 40 50 60 70 80
90 100 110 120 130 140 150 160
PMAP : Row-major process mapping
P : 3
Q : 3
PFACT : Crout
NBMIN : 4
NDIV : 2
RFACT : Right
BCAST : BlongM
DEPTH : 1
SWAP : Mix (threshold = 64)
L1 : transposed form
U : transposed form
EQUIL : yes
ALIGN : 8 double precision words
----------------------------------------------------------------------------
- The matrix A is randomly generated for each test.
- The following scaled residual checks will be computed:
1) ||Ax-b||_oo / ( eps * ||A||_1 * N )
2) ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 )
3) ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo )
- The relative machine precision (eps) is taken to be 1.110223e-16
- Computational tests pass if scaled residuals are less than 16.0
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 10 3 3 74.50 4.583e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0391419 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0228865 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045975 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 20 3 3 61.11 5.587e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0372644 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0217887 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043770 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 30 3 3 58.13 5.874e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0396736 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0231974 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0046600 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 40 3 3 55.77 6.123e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0402475 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0235330 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0047274 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 50 3 3 57.07 5.983e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0400640 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0234257 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0047058 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 60 3 3 56.22 6.073e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0356998 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0208739 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0041932 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 70 3 3 55.80 6.119e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0371748 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0217364 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043665 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 80 3 3 56.23 6.072e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0364704 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0213245 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042837 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR15R2C4 8000 90 3 3 56.20 6.075e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0371262 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0217079 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043607 ...... PASSED
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