============================================================================ 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 : 35000 40000 45000 50000 NB : 32 PMAP : Row-major process mapping P : 7 Q : 2 PFACT : Crout NBMIN : 4 8 NDIV : 2 RFACT : Right BCAST : 2ringM DEPTH : 1 SWAP : Mix (threshold = 60) 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 ---------------------------------------------------------------------------- WR13R2C4 35000 32 7 2 819.56 3.488e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0160468 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0211556 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0039211 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR13R2C8 35000 32 7 2 801.35 3.567e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0166544 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0219566 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0040696 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR13R2C4 40000 32 7 2 1165.71 3.660e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0263047 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0240518 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0047231 ...... PASSED ============================================================================ T/V N NB P Q Time Gflops ---------------------------------------------------------------------------- WR13R2C8 40000 32 7 2 1165.05 3.662e+01 ---------------------------------------------------------------------------- ||Ax-b||_oo / ( eps * ||A||_1 * N ) = 0.0251389 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_1 * ||x||_1 ) = 0.0229859 ...... PASSED ||Ax-b||_oo / ( eps * ||A||_oo * ||x||_oo ) = 0.0045138 ...... PASSED