============================================================================ 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 : 53000 NB : 48 PMAP : Row-major process mapping P : 6 Q : 4 PFACT : Crout NBMIN : 4 8 NDIV : 2 RFACT : Crout BCAST : 1ringM DEPTH : 1 0 SWAP : Spread-roll (long) 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 ---------------------------------------------------------------------------- WR11C2C4 53000 48 6 4 1425.23 6.964e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0136632 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0170003 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0028465 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR11C2C8 53000 48 6 4 1407.93 7.050e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0143382 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0178402 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0029871 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR01C2C4 53000 48 6 4 1447.04 6.859e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0151667 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0188710 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0031597 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR01C2C8 53000 48 6 4 1448.06 6.854e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0143875 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0179014 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0029974 ...... PASSED ============================================================================ Finished 4 tests with the following results: 4 tests completed and passed residual checks, 0 tests completed and failed residual checks, 0 tests skipped because of illegal input values. ---------------------------------------------------------------------------- End of Tests. ============================================================================