n=48 nz=552 Matrix A: 1.6e+11 0 -4.8e+10 -8e+09 -1.6e+10 0 0 -8e+09 0 0 0 0 0 0 0 0 0 -8e+09 0 8e+09 0 0 0 0 -9.6e+10 8e+09 -0 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 -8e+09 -1.6e+10 0 -4.8e+10 -8e+09 0 0 0 0 0 0 0 0 0 -8e+09 0 8e+09 0 0 0 0 0 8e+09 -3.2e+10 8e+09 -0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4.8e+10 8e+09 6.4e+10 8e+09 -0 8e+09 -1.6e+10 8e+09 0 0 0 0 0 0 0 0 -0 -8e+09 -0 -8e+09 -0 -8e+09 -0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -1.6e+10 8e+09 6.4e+10 8e+09 -0 8e+09 -4.8e+10 0 0 0 0 0 0 0 0 -8e+09 -0 -8e+09 -0 -8e+09 -0 -8e+09 -0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 8e+09 1.92e+11 -8e+09 -4.8e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 -9.6e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 8e+09 0 -8e+09 0 0 0 0 0 -4.8e+10 8e+09 0 -8e+09 1.92e+11 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 8e+09 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -9.6e+10 -8e+09 0 0 0 0 0 0 -8e+09 -1.6e+10 -8e+09 -4.8e+10 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 8e+09 -3.2e+10 8e+09 0 0 0 0 -8e+09 0 -8e+09 -4.8e+10 0 -1.6e+10 0 1.6e+11 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -0 8e+09 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 1.92e+11 8e+09 -4.8e+10 0 -1.6e+10 0 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 -8e+09 -0 8e+09 0 0 0 0 -3.2e+10 -8e+09 0 8e+09 0 0 0 0 0 0 0 0 8e+09 1.92e+11 0 -1.6e+10 0 -4.8e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 -3.2e+10 8e+09 -0 0 0 0 0 -8e+09 -9.6e+10 8e+09 0 0 0 0 0 0 0 0 0 -4.8e+10 0 9.6e+10 0 -0 8e+09 -1.6e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 8e+09 -0 -8e+09 0 0 0 0 0 0 0 0 -0 -8e+09 -3.2e+10 -8e+09 0 0 0 0 0 0 0 0 0 -1.6e+10 0 1.6e+11 8e+09 -0 8e+09 -4.8e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -0 -8e+09 -0 0 0 0 0 0 0 0 0 -8e+09 -0 -8e+09 -9.6e+10 0 0 0 0 0 0 0 0 -1.6e+10 0 0 8e+09 1.92e+11 -8e+09 -4.8e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 8e+09 0 -8e+09 0 0 0 0 0 -8e+09 -9.6e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4.8e+10 8e+09 0 -8e+09 1.92e+11 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -9.6e+10 -8e+09 0 0 0 0 0 -8e+09 0 8e+09 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 -1.6e+10 -8e+09 -4.8e+10 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 -0 8e+09 -3.2e+10 8e+09 0 8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 -8e+09 -4.8e+10 0 -1.6e+10 0 1.6e+11 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -0 8e+09 -9.6e+10 8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 -8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 3.2e+10 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 -9.6e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -3.2e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.2e+10 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 0 8e+09 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 8e+09 0 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 -3.2e+10 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 0 -9.6e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 -8e+09 0 0 0 -8e+09 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 3.2e+10 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 0 0 -8e+09 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.2e+10 -8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 3.2e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 8e+09 0 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 8e+09 -3.2e+10 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 0 -9.6e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 0 0 -8e+09 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8e+09 3.2e+10 0 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8e+09 0 0 0 -8e+09 3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 -0 -9.6e+10 0 0 0 0 0 0 3.2e+10 -8e+09 0 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 -0 -9.6e+10 0 0 0 0 0 8e+09 3.2e+10 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 0 0 8e+09 -9.6e+10 8e+09 0 -8e+09 -9.6e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 9.6e+10 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 0 3.2e+10 8e+09 0 8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 -3.2e+10 0 0 0 0 0 0 0 -8e+09 0 -8e+09 -9.6e+10 8e+09 0 8e+09 -9.6e+10 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 -1.6e+10 0 0 0 0 0 0 0 0 0 0 9.6e+10 0 0 0 9.6e+10 0 0 0 0 0 0 0 0 0 -8e+09 3.2e+10 -8e+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.6e+10 0 0 0 0 0 0 0 0 0 0 0 0 -3.2e+10 0 Vector b: 0 2e+07 0 2e+07 0 0 0 0 0 0 0 0 0 0 0 0 0 2e+07 0 2e+07 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ================ PARDISO: solving a real nonsymmetric system ================ The local (internal) PARDISO version is : 103000116 1-based array indexing is turned ON PARDISO double precision computation is turned ON METIS algorithm at reorder step is turned ON Scaling is turned ON Matching is turned ON Summary: ( reordering phase ) ================ Times: ====== Time spent in calculations of symmetric matrix portrait(fulladj): 0.000018 s Time spent in reordering of the initial matrix(reorder) : 0.000282 s Time spent in symbolic factorization(symbfct) : 0.016414 s Time spent in allocation of internal data structures(malloc) : 0.000165 s Time spent in additional calculations : 0.000058 s Total time spent : 0.016937 s Statistics: =========== < Parallel Direct Factorization with #processors: > 12 < Numerical Factorization with Level-3 BLAS performance > < Linear system Ax = b> #equations: 48 #non-zeros in A: 308 non-zeros in A (%): 13.368056 #right-hand sides: 1 < Factors L and U > #columns for each panel: 128 #independent subgraphs: 0 < Preprocessing with state of the art partitioning metis> #supernodes: 36 size of largest supernode: 8 number of nonzeros in L 294 number of nonzeros in U 160 number of nonzeros in L+U 454 Reordering completed ... Number of nonzeros in factors = 454 Number of factorization MFLOPS = 0=== PARDISO is running in In-Core mode, because iparam(60)=0 === Percentage of computed non-zeros for LL^T factorization 1 % 3 % 5 % 6 % 8 % 10 % 11 % 13 % 15 % 16 % 18 % 20 % 21 % 23 % 24 % 26 % 28 % 29 % 31 % 33 % 35 % 37 % 38 % 40 % 42 % 43 % 45 % 47 % 48 % 50 % 53 % 56 % 58 % 61 % 77 % 99 % 100 % ================ PARDISO: solving a real nonsymmetric system ================ Single-level factorization algorithm is turned ON Summary: ( factorization phase ) ================ Times: ====== Time spent in copying matrix to internal data structure(A to LU): 0.000000 s Time spent in factorization step(numfct) : 0.000662 s Time spent in allocation of internal data structures(malloc) : 0.000011 s Time spent in additional calculations : 0.000001 s Total time spent : 0.000674 s Statistics: =========== < Parallel Direct Factorization with #processors: > 12 < Numerical Factorization with Level-3 BLAS performance > < Linear system Ax = b> #equations: 48 #non-zeros in A: 308 non-zeros in A (%): 13.368056 #right-hand sides: 1 < Factors L and U > #columns for each panel: 128 #independent subgraphs: 0 < Preprocessing with state of the art partitioning metis> #supernodes: 36 size of largest supernode: 8 number of nonzeros in L 294 number of nonzeros in U 160 number of nonzeros in L+U 454 gflop for the numerical factorization: 0.000002 gflop/s for the numerical factorization: 0.003471 Factorization completed ... ================ PARDISO: solving a real nonsymmetric system ================ Summary: ( solution phase ) ================ Times: ====== Time spent in direct solver at solve step (solve) : 0.000075 s Time spent in additional calculations : 0.000056 s Total time spent : 0.000131 s Statistics: =========== < Parallel Direct Factorization with #processors: > 12 < Numerical Factorization with Level-3 BLAS performance > < Linear system Ax = b> #equations: 48 #non-zeros in A: 308 non-zeros in A (%): 13.368056 #right-hand sides: 1 < Factors L and U > #columns for each panel: 128 #independent subgraphs: 0 < Preprocessing with state of the art partitioning metis> #supernodes: 36 size of largest supernode: 8 number of nonzeros in L 294 number of nonzeros in U 160 number of nonzeros in L+U 454 gflop for the numerical factorization: 0.000002 gflop/s for the numerical factorization: 0.003471 Solve completed ... The solution of the system is: x [0] = 0.000078 x [1] = 0.001641 x [2] = 0.000234 x [3] = 0.001641 x [4] = 0.000078 x [5] = 0.001172 x [6] = 0.000234 x [7] = 0.001172 x [8] = 0.000078 x [9] = 0.000703 x [10] = 0.000234 x [11] = 0.000703 x [12] = 0.000078 x [13] = 0.000234 x [14] = 0.000234 x [15] = 0.000234 x [16] = 0.000078 x [17] = 0.001875 x [18] = 0.000234 x [19] = 0.001875 x [20] = 0.000312 x [21] = 0.001641 x [22] = 0.000312 x [23] = 0.001172 x [24] = -0.000000 x [25] = 0.001641 x [26] = -0.000000 x [27] = 0.001172 x [28] = 0.000078 x [29] = 0.000000 x [30] = 0.000234 x [31] = 0.000000 x [32] = 0.000312 x [33] = 0.000703 x [34] = 0.000312 x [35] = 0.000234 x [36] = -0.000000 x [37] = 0.000703 x [38] = -0.000000 x [39] = 0.000234 x [40] = 0.000078 x [41] = 0.000938 x [42] = 0.000234 x [43] = 0.000937 x [44] = 0.000078 x [45] = 0.000938 x [46] = 0.000234 x [47] = 0.000937 Relative residual = 1.51916e-15