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Gauss solution on the cluster:

system size						-> n
RAM for matrix A				 -> r = 8*n^2/1e6
processor number				 -> z
RAM of matrix A on each node -> d = r/z

------------------------------------------------------------------
A on one node:
  n = 3000 number of unknowns
  z =	 1 processor
  r =	72 MBytes for whole matrix A
  d =	72 MBytes of A on each node

  mpirun -machinefile machi.dat -np 1 gauss3.exe

  times for array with leading dimension			 3000
		factor	  solve		total	  mflops		 unit		ratio
  6.760E+02  0.000E+00  6.760E+02  2.665E+01  7.504E-02  1.207E+04
  end of test

------------------------------------------------------------------
B on three nodes
  n = 3000 number of unknowns
  z =	 3 processors
  r =	72 MBytes for whole matrix A
  d =	24 MBytes of A on each node

  mpirun -machinefile machi.dat -np 3 gauss3.exe

  times for array with leading dimension			 3000
		factor	  solve		total	  mflops		 unit		ratio
  3.200E+02  1.400E+01  3.340E+02  5.395E+01  3.707E-02  5.964E+03
  end of test

------------------------------------------------------------------
C speed_up_{np = 3} = 5.395E+01 / 2.665E+01 = 2.0244

------------------------------------------------------------------
D corrida con el maximo tamanio del sistema posible en el
  actual cluster:

  n = 6500 number of unknowns
  z =	 3	 processors
  r =  338	 MBytes for whole matrix A
  d =  112.67 MBytes of A on each node

  pghpf -Mautopar -Mmpi -o gauss3.exe gauss3.hpf

  mpirun -machinefile machi.dat -np 3 gauss3.exe

  times for array with leading dimension			 6500
		factor	  solve		total	  mflops		 unit		ratio
  3.152E+03  3.800E+01  3.190E+03  5.742E+01  3.483E-02  5.696E+04
  end of test

-- CimecUser - 01 Sep 2001
Topic revision: r1 - 01 Sep 2001, CimecUser
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