================================================================================ HPLinpack 2.0 -- High-Performance Linpack benchmark -- September 10, 2008 Written by A. Petitet and R. Clint Whaley, Innovative Computing Laboratory, UTK Modified by Piotr Luszczek, Innovative Computing Laboratory, UTK Modified by Julien Langou, University of Colorado Denver ================================================================================ 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 : 200 PMAP : Row-major process mapping P : 2 Q : 2 PFACT : Left 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 check will be computed: ||Ax-b||_oo / ( eps * ( || x ||_oo * || A ||_oo + || b ||_oo ) * N ) - 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 8000 200 2 2 326.61 1.045e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0056497 ...... PASSED ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR00L2L4 8000 200 2 2 308.67 1.106e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0050128 ...... PASSED ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR00C2L2 8000 200 2 2 306.46 1.114e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0056497 ...... PASSED ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR00C2L4 8000 200 2 2 305.44 1.118e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0050128 ...... PASSED ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR00R2L2 8000 200 2 2 305.50 1.118e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0056497 ...... PASSED ================================================================================ T/V N NB P Q Time Gflops -------------------------------------------------------------------------------- WR00R2L4 8000 200 2 2 304.64 1.121e+00 -------------------------------------------------------------------------------- ||Ax-b||_oo/(eps*(||A||_oo*||x||_oo+||b||_oo)*N)= 0.0050128 ...... PASSED ================================================================================ 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. -------------------------------------------------------------------------------- End of Tests. ================================================================================