============================================================================
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 : 15000 14000 13000 12000 11000 10000 9000 8000
7000 6000 5000 4000 3000 2000 1000
NB : 60
PMAP : Row-major process mapping
P : 3
Q : 3
PFACT : Crout
NBMIN : 8
NDIV : 2
RFACT : Right
BCAST : BlongM
DEPTH : 0
SWAP : Mix (threshold = 60)
L1 : transposed form
U : transposed form
EQUIL : yes
ALIGN : 8 double precision words
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- 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
----------------------------------------------------------------------------
WR05R2C8 15000 60 3 3 235.11 9.571e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0062770 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0207517 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0044990 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 14000 60 3 3 207.70 8.809e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625598 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0216866 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039856 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 13000 60 3 3 165.58 8.847e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0145176 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0220823 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0047984 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 12000 60 3 3 136.88 8.418e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0111995 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0218696 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0044124 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 11000 60 3 3 113.90 7.792e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.2599581 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0258505 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0053514 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 10000 60 3 3 89.90 7.417e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0940512 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0222553 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0049745 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 9000 60 3 3 78.10 6.225e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0116730 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0209866 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0037363 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 8000 60 3 3 55.76 6.123e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0366222 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0214132 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043016 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 7000 60 3 3 41.69 5.486e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.4895670 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0247585 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0044716 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 6000 60 3 3 29.68 4.854e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0116541 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0243047 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0047868 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 5000 60 3 3 20.35 4.097e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0333293 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0220024 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042948 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 4000 60 3 3 12.81 3.332e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0258982 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0239165 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0054359 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 3000 60 3 3 7.29 2.470e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0208900 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0220915 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045155 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 2000 60 3 3 3.46 1.544e+00
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0959997 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0233347 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0050699 ...... PASSED
============================================================================
T/V N NB P Q Time Gflops
----------------------------------------------------------------------------
WR05R2C8 1000 60 3 3 1.15 5.829e-01
----------------------------------------------------------------------------
||Ax-b||_oo / ( eps * ||A||_1 * N ) = 1.4432780 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0350303 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0084631 ...... PASSED
============================================================================
Finished 15 tests with the following results:
15 tests completed and passed residual checks,
0 tests completed and failed residual checks,
0 tests skipped because of illegal input values.
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End of Tests.
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