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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 : 14336
NB : 60
PMAP : Row-major process mapping
P : 4 2
Q : 2 4
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
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T/V N NB P Q Time Gflops
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WR05R2C8 14336 60 4 2 213.22 9.214e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0125403 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0243658 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0048242 ...... PASSED
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T/V N NB P Q Time Gflops
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WR05R2C8 14336 60 2 4 257.40 7.632e+00
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||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0101455 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0197127 ...... PASSED
||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039030 ...... PASSED
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Finished 2 tests with the following results:
2 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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