|
|
| Line 3: |
Line 3: |
| | | | |
| | <pre> | | <pre> |
| − | ==Second Attempt==
| |
| − | <pre>
| |
| − | ============================================================================
| |
| − | 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 : 8192
| |
| − | NB : 16
| |
| − | PMAP : Row-major process mapping
| |
| − | P : 1
| |
| − | Q : 1
| |
| − | PFACT : Left Crout Right
| |
| − | NBMIN : 2 4
| |
| − | NDIV : 2
| |
| − | RFACT : Left Crout Right
| |
| − | BCAST : 1ring
| |
| − | DEPTH : 0
| |
| − | 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
| |
| − | ----------------------------------------------------------------------------
| |
| − | WR00L2L2 8192 16 1 1 1554.50 2.358e-01
| |
| − | ----------------------------------------------------------------------------
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED
| |
| − | ============================================================================
| |
| − | T/V N NB P Q Time Gflops
| |
| − | ----------------------------------------------------------------------------
| |
| − | WR00L2L4 8192 16 1 1 1546.80 2.370e-01
| |
| − | ----------------------------------------------------------------------------
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0625347 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0263812 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0043538 ...... PASSED
| |
| − | </pre>
| |
| − | ==Third Attempt==
| |
| − | <pre>
| |
| − | ============================================================================
| |
| − | T/V N NB P Q Time Gflops
| |
| − | ----------------------------------------------------------------------------
| |
| − | WR00L2L2 8192 32 1 1 1203.06 3.047e-01
| |
| − | ----------------------------------------------------------------------------
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0597090 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0251891 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0041571 ...... PASSED
| |
| − | ============================================================================
| |
| − | T/V N NB P Q Time Gflops
| |
| − | ----------------------------------------------------------------------------
| |
| − | WR00L2L4 8192 32 1 1 1202.94 3.048e-01
| |
| − | ----------------------------------------------------------------------------
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0597090 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0251891 ...... PASSED
| |
| − | ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0041571 ...... PASSED
| |
| − | </pre>
| |
| − | ==Fourth Attempt==
| |
| − |
| |
| − | ============================================================================
| |
| − |
| |
| − | 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 : 8192
| |
| − | NB : 16
| |
| − | PMAP : Row-major process mapping
| |
| − | P : 1
| |
| − | Q : 1
| |
| − | PFACT : Left Crout Right
| |
| − | NBMIN : 2 4
| |
| − | NDIV : 2
| |
| − | RFACT : Left Crout Right
| |
| − | BCAST : 1ring
| |
| − | DEPTH : 0
| |
| − | 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
| |
| | | | |
| | ============================================================================ | | ============================================================================ |
| Line 144: |
Line 22: |
| | | | |
| | </pre> | | </pre> |
| | + | |
| | ==Second Attempt== | | ==Second Attempt== |
| | + | |
| | <pre> | | <pre> |
| − | ============================================================================
| |
| − | 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 : 8192
| |
| − | NB : 16
| |
| − | PMAP : Row-major process mapping
| |
| − | P : 1
| |
| − | Q : 1
| |
| − | PFACT : Left Crout Right
| |
| − | NBMIN : 2 4
| |
| − | NDIV : 2
| |
| − | RFACT : Left Crout Right
| |
| − | BCAST : 1ring
| |
| − | DEPTH : 0
| |
| − | 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
| |
| | | | |
| | ============================================================================ | | ============================================================================ |
