Generalized eigenproblem stored in file. Reading REAL matrices from binary files... Mat Object: 32 MPI processes type: mpiaij rows=1591812, cols=1591812 total: nonzeros=6.93869e+07, allocated nonzeros=6.93869e+07 total number of mallocs used during MatSetValues calls =0 not using I-node (on process 0) routines Mat Object: 32 MPI processes type: mpiaij rows=1591812, cols=1591812 total: nonzeros=4.09661e+07, allocated nonzeros=4.09661e+07 total number of mallocs used during MatSetValues calls =0 not using I-node (on process 0) routines Mat Object: 32 MPI processes type: mpiaij rows=1591812, cols=1591812 total: nonzeros=8.83079e+07, allocated nonzeros=8.83079e+07 total number of mallocs used during MatSetValues calls =0 not using I-node (on process 0) routines Number of iterations of the method: 2 Number of linear iterations of the method: 13614 Solution method: krylovschur Number of requested eigenvalues: 40 Stopping condition: tol=0.01, maxit=39795 Number of converged approximate eigenpairs: 44 k ||Ax-kBx||/||kx|| ----------------- ------------------ -0.007765 0.000692585 -0.001082 0.0106916 0.004967 0.000553283 0.009223 0.008075 0.023748 0.000365943 0.023968 0.00283299 -1.851843 0.0344525 2.411206 0.0222842 241.591170 6.32511e-05 368.515165 0.000109888 439.051363 0.000104781 464.860892 6.45588e-05 470.347207 6.3917e-05 470.780830 6.53566e-05 477.101716 6.28765e-05 519.299512 5.91775e-05 1023.843005 1.05083e-05 1028.755378 2.06008e-05 1032.068641 2.1884e-05 1037.326090 1.29304e-05 1039.969533 2.861e-05 1040.428480 2.35434e-05 1046.240666 1.70385e-05 1056.037393 3.24448e-05 1063.996245 6.93991e-06 1086.685248 2.57481e-05 1107.296413 2.54851e-05 1181.276909 2.57999e-06 1182.245499 2.12079e-06 1185.749077 4.00986e-06 1190.865474 4.98922e-06 1198.334912 4.37807e-06 1205.230958 5.84731e-06 1276.443984 2.72486e-05 1432.632786 2.77001e-05 1436.567750 2.75049e-05 1446.459678 2.66685e-05 1446.756928 2.80657e-05 1453.173586 2.74847e-05 1684.464864 1.71568e-06 1699.126651 1.88885e-06 1721.441890 2.48481e-06 1757.232207 4.13032e-06 1765.063515 3.69193e-06 ************************************************************************************************************************ *** WIDEN YOUR WINDOW TO 120 CHARACTERS. Use 'enscript -r -fCourier9' to print this document *** ************************************************************************************************************************ ---------------------------------------------- PETSc Performance Summary: ---------------------------------------------- ./ex7 on a arch-linux-gcc-gfortran-maint-o named es with 32 processors, by hzhang Wed Jul 30 12:20:07 2014 Using Petsc Release Version 3.5.1, unknown Max Max/Min Avg Total Time (sec): 7.501e+02 1.00002 7.501e+02 Objects: 2.450e+02 1.00000 2.450e+02 Flops: 2.591e+11 1.53997 2.410e+11 7.711e+12 Flops/sec: 3.454e+08 1.53995 3.213e+08 1.028e+10 MPI Messages: 8.942e+04 1.99993 4.751e+04 1.520e+06 MPI Message Lengths: 5.656e+09 1.34657 1.156e+05 1.758e+11 MPI Reductions: 4.442e+04 1.00000 Flop counting convention: 1 flop = 1 real number operation of type (multiply/divide/add/subtract) e.g., VecAXPY() for real vectors of length N --> 2N flops and VecAXPY() for complex vectors of length N --> 8N flops Summary of Stages: ----- Time ------ ----- Flops ----- --- Messages --- -- Message Lengths -- -- Reductions -- Avg %Total Avg %Total counts %Total Avg %Total counts %Total 0: Main Stage: 7.5011e+02 100.0% 7.7113e+12 100.0% 1.520e+06 100.0% 1.156e+05 100.0% 4.442e+04 100.0% ------------------------------------------------------------------------------------------------------------------------ See the 'Profiling' chapter of the users' manual for details on interpreting output. Phase summary info: Count: number of times phase was executed Time and Flops: Max - maximum over all processors Ratio - ratio of maximum to minimum over all processors Mess: number of messages sent Avg. len: average message length (bytes) Reduct: number of global reductions Global: entire computation Stage: stages of a computation. Set stages with PetscLogStagePush() and PetscLogStagePop(). %T - percent time in this phase %F - percent flops in this phase %M - percent messages in this phase %L - percent message lengths in this phase %R - percent reductions in this phase Total Mflop/s: 10e-6 * (sum of flops over all processors)/(max time over all processors) ------------------------------------------------------------------------------------------------------------------------ Event Count Time (sec) Flops --- Global --- --- Stage --- Total Max Ratio Max Ratio Max Ratio Mess Avg len Reduct %T %F %M %L %R %T %F %M %L %R Mflop/s ------------------------------------------------------------------------------------------------------------------------ --- Event Stage 0: Main Stage MatMult 22348 1.0 3.2660e+02 1.4 1.31e+11 1.6 1.5e+06 1.1e+05 0.0e+00 41 50100 99 0 41 50100 99 0 11842 MatSolve 22008 1.0 2.5290e+02 1.5 1.03e+11 1.7 0.0e+00 0.0e+00 0.0e+00 31 39 0 0 0 31 39 0 0 0 11992 MatCholFctrNum 1 1.0 1.9143e-01 3.5 4.97e+04 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 8 MatICCFactorSym 1 1.0 2.4666e-02 8.7 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatConvert 1 1.0 6.6947e-02 4.7 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatAssemblyBegin 3 1.0 2.8475e+0018.7 0.00e+00 0.0 0.0e+00 0.0e+00 6.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatAssemblyEnd 3 1.0 1.9197e-01 1.2 0.00e+00 0.0 4.1e+02 2.4e+04 2.4e+01 0 0 0 0 0 0 0 0 0 0 0 MatGetRow 99490 1.0 7.6302e-02 3.7 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatGetRowIJ 1 1.0 2.8610e-06 3.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatGetOrdering 1 1.0 5.9581e-04 1.8 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatLoad 2 1.0 4.2831e+00 1.0 0.00e+00 0.0 4.6e+02 2.8e+06 2.8e+01 1 0 0 1 0 1 0 0 1 0 0 MatView 3 1.0 1.1508e-0211.4 0.00e+00 0.0 0.0e+00 0.0e+00 3.0e+00 0 0 0 0 0 0 0 0 0 0 0 MatAXPY 1 1.0 4.6973e-01 1.1 0.00e+00 0.0 1.4e+02 2.9e+04 1.3e+01 0 0 0 0 0 0 0 0 0 0 0 VecDot 43911 1.0 2.3876e+02 3.6 4.37e+09 1.0 0.0e+00 0.0e+00 4.4e+04 13 2 0 0 99 13 2 0 0 99 585 VecNorm 237 1.0 3.2894e-01 2.8 2.36e+07 1.0 0.0e+00 0.0e+00 2.4e+02 0 0 0 0 1 0 0 0 0 1 2294 VecScale 65875 1.0 8.5260e+00 1.4 3.28e+09 1.0 0.0e+00 0.0e+00 0.0e+00 1 1 0 0 0 1 1 0 0 0 12299 VecCopy 153997 1.0 6.0376e+01 1.1 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 8 0 0 0 0 8 0 0 0 0 0 VecSet 22354 1.0 2.7789e+00 1.5 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 VecAXPY 153057 1.0 3.5151e+01 1.7 1.52e+10 1.0 0.0e+00 0.0e+00 0.0e+00 3 6 0 0 0 3 6 0 0 0 13835 VecScatterBegin 22348 1.0 9.2333e+00 1.5 0.00e+00 0.0 1.5e+06 1.1e+05 0.0e+00 1 0100 99 0 1 0100 99 0 0 VecScatterEnd 22348 1.0 9.8145e+00 1.3 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 1 0 0 0 0 1 0 0 0 0 0 EPSSetUp 1 1.0 5.6009e-01 1.0 0.00e+00 0.0 1.4e+02 2.9e+04 2.7e+01 0 0 0 0 0 0 0 0 0 0 0 EPSSolve 1 1.0 4.6781e+02 1.0 1.62e+11 1.5 9.5e+05 1.1e+05 2.8e+04 62 63 62 62 62 62 63 62 62 62 10331 STSetUp 1 1.0 5.0600e-01 1.0 0.00e+00 0.0 1.4e+02 2.9e+04 1.7e+01 0 0 0 0 0 0 0 0 0 0 0 STApply 149 1.0 7.3619e+02 1.0 2.56e+11 1.5 1.5e+06 1.1e+05 4.4e+04 98 99 98 98 99 98 99 98 98 99 10326 BVCopy 90 1.0 5.4192e-02 2.4 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 BVMult 210 1.0 1.9573e+00 1.1 1.47e+09 1.0 0.0e+00 0.0e+00 0.0e+00 0 1 0 0 0 0 1 0 0 0 24007 BVDot 208 1.0 5.4260e+00 1.0 1.52e+09 1.1 1.4e+04 1.1e+05 2.1e+02 1 1 1 1 0 1 1 1 1 0 8930 BVOrthogonalize 105 1.0 6.8917e+00 1.0 2.49e+09 1.0 1.4e+04 1.1e+05 2.1e+02 1 1 1 1 0 1 1 1 1 0 11540 BVScale 149 1.0 2.7106e-02 1.5 7.41e+06 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 8750 BVNorm 44 1.0 7.1395e-01 1.0 1.17e+08 1.3 3.0e+03 1.1e+05 4.4e+01 0 0 0 0 0 0 0 0 0 0 5147 BVSetRandom 1 1.0 1.5907e-01 5.0 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 DSSolve 2 1.0 4.5481e-03 1.3 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 DSVectors 46 1.0 4.2915e-05 2.4 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 DSOther 5 1.0 2.6298e-04 1.4 0.00e+00 0.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 0 KSPSetUp 2 1.0 2.1066e-02 7.4 0.00e+00 0.0 0.0e+00 0.0e+00 2.0e+00 0 0 0 0 0 0 0 0 0 0 0 KSPSolve 149 1.0 7.3512e+02 1.0 2.55e+11 1.5 1.5e+06 1.1e+05 4.4e+04 98 98 98 97 99 98 98 98 97 99 10325 PCSetUp 2 1.0 1.9785e-01 3.4 4.97e+04 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 8 PCSetUpOnBlocks 149 1.0 1.9811e-01 3.4 4.97e+04 1.0 0.0e+00 0.0e+00 0.0e+00 0 0 0 0 0 0 0 0 0 0 8 PCApply 22008 1.0 2.5635e+02 1.5 1.03e+11 1.7 0.0e+00 0.0e+00 0.0e+00 32 39 0 0 0 32 39 0 0 0 11831 ------------------------------------------------------------------------------------------------------------------------ Memory usage is given in bytes: Object Type Creations Destructions Memory Descendants' Mem. Reports information only for process 0. --- Event Stage 0: Main Stage Viewer 3 2 1504 0 Matrix 15 15 110333816 0 Vector 205 205 109976240 0 Vector Scatter 4 4 4240 0 Index Set 9 9 652468 0 Eigenvalue Problem Solver 1 1 4036 0 PetscRandom 1 1 632 0 Spectral Transform 1 1 824 0 Basis Vectors 1 1 30888 0 Direct solver 1 1 162556 0 Krylov Solver 2 2 2312 0 Preconditioner 2 2 1960 0 ======================================================================================================================== Average time to get PetscTime(): 0 Average time for MPI_Barrier(): 0.000527811 Average time for zero size MPI_Send(): 8.34092e-05 #PETSc Option Table entries: -eps_gen_hermitian -eps_nev 40 -eps_target -0.1 -eps_tol 1.e-2 -eps_type krylovschur -f1 /scratch/hzhang/data/zhao/petsc_stiff20.dat -f2 /scratch/hzhang/data/zhao/petsc_mass20.dat -log_summary -malloc_test -mat_type aij -mat_view ascii::ascii_info -st_ksp_rtol 1.e-2 -st_ksp_type minres -st_pc_type bjacobi -st_sub_pc_type icc -st_type sinvert #End of PETSc Option Table entries Compiled without FORTRAN kernels Compiled with full precision matrices (default) sizeof(short) 2 sizeof(int) 4 sizeof(long) 8 sizeof(void*) 8 sizeof(PetscScalar) 8 sizeof(PetscInt) 4 Configure options: --download-metis --download-ml --download-mpich --download-mumps --download-parmetis --download-scalapack --download-sundials --download-superlu --download-superlu_dist --with-cc=gcc --with-cxx=g++ --with-debugging=0 --with-fc=gfortran PETSC_ARCH=arch-linux-gcc-gfortran-maint-o ----------------------------------------- Libraries compiled on Wed Jul 30 10:49:26 2014 on es Machine characteristics: Linux-3.8.0-29-generic-x86_64-with-Ubuntu-12.04-precise Using PETSc directory: /scratch/hzhang/petsc Using PETSc arch: arch-linux-gcc-gfortran-maint-o ----------------------------------------- Using C compiler: /scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/bin/mpicc -fPIC -Wall -Wwrite-strings -Wno-strict-aliasing -Wno-unknown-pragmas -O ${COPTFLAGS} ${CFLAGS} Using Fortran compiler: /scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/bin/mpif90 -fPIC -Wall -Wno-unused-variable -ffree-line-length-0 -Wno-unused-dummy-argument -O ${FOPTFLAGS} ${FFLAGS} ----------------------------------------- Using include paths: -I/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/include -I/scratch/hzhang/petsc/include -I/scratch/hzhang/petsc/include -I/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/include ----------------------------------------- Using C linker: /scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/bin/mpicc Using Fortran linker: /scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/bin/mpif90 Using libraries: -Wl,-rpath,/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/lib -L/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/lib -lpetsc -Wl,-rpath,/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/lib -L/scratch/hzhang/petsc/arch-linux-gcc-gfortran-maint-o/lib -lsuperlu_4.3 -lcmumps -ldmumps -lsmumps -lzmumps -lmumps_common -lpord -lscalapack -lsuperlu_dist_3.3 -lsundials_cvode -lsundials_nvecserial -lsundials_nvecparallel -lml -Wl,-rpath,/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib/gcc/x86_64-unknown-linux-gnu/4.8.0 -L/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib/gcc/x86_64-unknown-linux-gnu/4.8.0 -Wl,-rpath,/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib/gcc -L/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib/gcc -Wl,-rpath,/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib64 -L/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib64 -Wl,-rpath,/lib/x86_64-linux-gnu -L/lib/x86_64-linux-gnu -Wl,-rpath,/usr/lib/x86_64-linux-gnu -L/usr/lib/x86_64-linux-gnu -Wl,-rpath,/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib -L/nfs/software/linux-ubuntu_precise_amd64/apps/packages/gcc-4.8.0/lib -lmpichcxx -lstdc++ -llapack -lblas -lparmetis -lmetis -lX11 -lpthread -lssl -lcrypto -lm -lmpichf90 -lgfortran -lm -lgfortran -lm -lquadmath -lm -lmpichcxx -lstdc++ -ldl -lmpich -lopa -lmpl -lrt -lpthread -lgcc_s -ldl -----------------------------------------