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HPLinpack 1.0a -- High-Performance Linpack benchmark -- January 20, 2004
Written by A. Petitet and R. Clint Whaley, Innovative Computing Labs., UTK
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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 : 100
PMAP : Row-major process mapping
P : 3
Q : 3
PFACT : Crout
NBMIN : 4
NDIV : 2
RFACT : Right
BCAST : 1ring 1ringM 2ring 2ringM Blong BlongM
DEPTH : 1
SWAP : Mix (threshold = 64)
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
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T/V N NB P Q Time Gflops
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WR10R2C4 8000 100 3 3 60.21 5.670e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0392449 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0229468 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0046096 ...... PASSED
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T/V N NB P Q Time Gflops
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WR11R2C4 8000 100 3 3 59.97 5.694e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0385175 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0225215 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045242 ...... PASSED
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T/V N NB P Q Time Gflops
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WR12R2C4 8000 100 3 3 59.55 5.733e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0451142 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263786 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0052990 ...... PASSED
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T/V N NB P Q Time Gflops
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WR13R2C4 8000 100 3 3 59.71 5.719e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0333803 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0195177 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039208 ...... PASSED
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T/V N NB P Q Time Gflops
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WR14R2C4 8000 100 3 3 66.64 5.123e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0365383 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0213642 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042917 ...... PASSED
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T/V N NB P Q Time Gflops
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WR15R2C4 8000 100 3 3 55.97 6.101e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0365383 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0213642 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0042917 ...... PASSED
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Finished 6 tests with the following results:
6 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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