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422234dc3   daniau   git-svn-id: https... 
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  AMD demo, with a jumbled version of the 24-by-24
  Harwell/Boeing matrix, can_24:
  
  AMD version 2.2.0, May 31, 2007: approximate minimum degree ordering
      dense row parameter: 10
      (rows with more than max (10 * sqrt (n), 16) entries are
      considered "dense", and placed last in output permutation)
      aggressive absorption:  yes
      size of AMD integer: 4
  
  
  Jumbled input matrix:  24-by-24, with 116 entries.
     Note that for a symmetric matrix such as this one, only the
     strictly lower or upper triangular parts would need to be
     passed to AMD, since AMD computes the ordering of A+A'.  The
     diagonal entries are also not needed, since AMD ignores them.
     This version of the matrix has jumbled columns and duplicate
     row indices.
  
  Column: 0, number of entries: 9, with row indices in Ai [0 ... 8]:
      row indices: 0 17 18 21 5 12 5 0 13
  
  Column: 1, number of entries: 5, with row indices in Ai [9 ... 13]:
      row indices: 14 1 8 13 17
  
  Column: 2, number of entries: 6, with row indices in Ai [14 ... 19]:
      row indices: 2 20 11 6 11 22
  
  Column: 3, number of entries: 8, with row indices in Ai [20 ... 27]:
      row indices: 3 3 10 7 18 18 15 19
  
  Column: 4, number of entries: 5, with row indices in Ai [28 ... 32]:
      row indices: 7 9 15 14 16
  
  Column: 5, number of entries: 4, with row indices in Ai [33 ... 36]:
      row indices: 5 13 6 17
  
  Column: 6, number of entries: 7, with row indices in Ai [37 ... 43]:
      row indices: 5 0 11 6 12 6 23
  
  Column: 7, number of entries: 9, with row indices in Ai [44 ... 52]:
      row indices: 3 4 9 7 14 16 15 17 18
  
  Column: 8, number of entries: 5, with row indices in Ai [53 ... 57]:
      row indices: 1 9 14 14 14
  
  Column: 9, number of entries: 5, with row indices in Ai [58 ... 62]:
      row indices: 7 13 8 1 17
  
  Column: 10, number of entries: 0, with row indices in Ai [63 ... 62]:
      row indices:
  
  Column: 11, number of entries: 3, with row indices in Ai [63 ... 65]:
      row indices: 2 12 23
  
  Column: 12, number of entries: 3, with row indices in Ai [66 ... 68]:
      row indices: 5 11 12
  
  Column: 13, number of entries: 3, with row indices in Ai [69 ... 71]:
      row indices: 0 13 17
  
  Column: 14, number of entries: 3, with row indices in Ai [72 ... 74]:
      row indices: 1 9 14
  
  Column: 15, number of entries: 3, with row indices in Ai [75 ... 77]:
      row indices: 3 15 16
  
  Column: 16, number of entries: 4, with row indices in Ai [78 ... 81]:
      row indices: 16 4 4 15
  
  Column: 17, number of entries: 4, with row indices in Ai [82 ... 85]:
      row indices: 13 17 19 17
  
  Column: 18, number of entries: 5, with row indices in Ai [86 ... 90]:
      row indices: 15 17 19 9 10
  
  Column: 19, number of entries: 6, with row indices in Ai [91 ... 96]:
      row indices: 17 19 20 0 6 10
  
  Column: 20, number of entries: 4, with row indices in Ai [97 ... 100]:
      row indices: 22 10 20 21
  
  Column: 21, number of entries: 11, with row indices in Ai [101 ... 111]:
      row indices: 6 2 10 19 20 11 21 22 22 22 22
  
  Column: 22, number of entries: 0, with row indices in Ai [112 ... 111]:
      row indices:
  
  Column: 23, number of entries: 4, with row indices in Ai [112 ... 115]:
      row indices: 12 11 12 23
  
  Plot of (jumbled) input matrix pattern:
       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
   0:  X . . . . . X . . . . . . X . . . . . X . . . .
   1:  . X . . . . . . X X . . . . X . . . . . . . . .
   2:  . . X . . . . . . . . X . . . . . . . . . X . .
   3:  . . . X . . . X . . . . . . . X . . . . . . . .
   4:  . . . . . . . X . . . . . . . . X . . . . . . .
   5:  X . . . . X X . . . . . X . . . . . . . . . . .
   6:  . . X . . X X . . . . . . . . . . . . X . X . .
   7:  . . . X X . . X . X . . . . . . . . . . . . . .
   8:  . X . . . . . . . X . . . . . . . . . . . . . .
   9:  . . . . X . . X X . . . . . X . . . X . . . . .
  10:  . . . X . . . . . . . . . . . . . . X X X X . .
  11:  . . X . . . X . . . . . X . . . . . . . . X . X
  12:  X . . . . . X . . . . X X . . . . . . . . . . X
  13:  X X . . . X . . . X . . . X . . . X . . . . . .
  14:  . X . . X . . X X . . . . . X . . . . . . . . .
  15:  . . . X X . . X . . . . . . . X X . X . . . . .
  16:  . . . . X . . X . . . . . . . X X . . . . . . .
  17:  X X . . . X . X . X . . . X . . . X X X . . . .
  18:  X . . X . . . X . . . . . . . . . . . . . . . .
  19:  . . . X . . . . . . . . . . . . . X X X . X . .
  20:  . . X . . . . . . . . . . . . . . . . X X X . .
  21:  X . . . . . . . . . . . . . . . . . . . X X . .
  22:  . . X . . . . . . . . . . . . . . . . . X X . .
  23:  . . . . . . X . . . . X . . . . . . . . . . . X
  
  Plot of symmetric matrix to be ordered by amd_order:
       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
   0:  X . . . . X X . . . . . X X . . . X X X . X . .
   1:  . X . . . . . . X X . . . X X . . X . . . . . .
   2:  . . X . . . X . . . . X . . . . . . . . X X X .
   3:  . . . X . . . X . . X . . . . X . . X X . . . .
   4:  . . . . X . . X . X . . . . X X X . . . . . . .
   5:  X . . . . X X . . . . . X X . . . X . . . . . .
   6:  X . X . . X X . . . . X X . . . . . . X . X . X
   7:  . . . X X . . X . X . . . . X X X X X . . . . .
   8:  . X . . . . . . X X . . . . X . . . . . . . . .
   9:  . X . . X . . X X X . . . X X . . X X . . . . .
  10:  . . . X . . . . . . X . . . . . . . X X X X . .
  11:  . . X . . . X . . . . X X . . . . . . . . X . X
  12:  X . . . . X X . . . . X X . . . . . . . . . . X
  13:  X X . . . X . . . X . . . X . . . X . . . . . .
  14:  . X . . X . . X X X . . . . X . . . . . . . . .
  15:  . . . X X . . X . . . . . . . X X . X . . . . .
  16:  . . . . X . . X . . . . . . . X X . . . . . . .
  17:  X X . . . X . X . X . . . X . . . X X X . . . .
  18:  X . . X . . . X . X X . . . . X . X X X . . . .
  19:  X . . X . . X . . . X . . . . . . X X X X X . .
  20:  . . X . . . . . . . X . . . . . . . . X X X X .
  21:  X . X . . . X . . . X X . . . . . . . X X X X .
  22:  . . X . . . . . . . . . . . . . . . . . X X X .
  23:  . . . . . . X . . . . X X . . . . . . . . . . X
  return value from amd_order: 1 (should be 1)
  
  AMD version 2.2.0, May 31, 2007, results:
      status: OK, but jumbled
      n, dimension of A:                                  24
      nz, number of nonzeros in A:                        102
      symmetry of A:                                      0.4000
      number of nonzeros on diagonal:                     17
      nonzeros in pattern of A+A' (excl. diagonal):       136
      # dense rows/columns of A+A':                       0
      memory used, in bytes:                              2080
      # of memory compactions:                            0
  
      The following approximate statistics are for a subsequent
      factorization of A(P,P) + A(P,P)'.  They are slight upper
      bounds if there are no dense rows/columns in A+A', and become
      looser if dense rows/columns exist.
  
      nonzeros in L (excluding diagonal):                 97
      nonzeros in L (including diagonal):                 121
      # divide operations for LDL' or LU:                 97
      # multiply-subtract operations for LDL':            275
      # multiply-subtract operations for LU:              453
      max nz. in any column of L (incl. diagonal):        8
  
      chol flop count for real A, sqrt counted as 1 flop: 671
      LDL' flop count for real A:                         647
      LDL' flop count for complex A:                      3073
      LU flop count for real A (with no pivoting):        1003
      LU flop count for complex A (with no pivoting):     4497
  
  Permutation vector:
   22 20 10 23 12  5 16  8 14  4 15  7  1  9 13 17  0  2  3  6 11 18 21 19
  
  Inverse permutation vector:
   16 12 17 18  9  5 19 11  7 13  2 20  4 14  8 10  6 15 21 23  1 22  0  3
  
  
  Plot of (symmetrized) permuted matrix pattern:
       0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3
   0:  X X . . . . . . . . . . . . . . . X . . . . X .
   1:  X X X . . . . . . . . . . . . . . X . . . . X X
   2:  . X X . . . . . . . . . . . . . . . X . . X X X
   3:  . . . X X . . . . . . . . . . . . . . X X . . .
   4:  . . . X X X . . . . . . . . . . X . . X X . . .
   5:  . . . . X X . . . . . . . . X X X . . X . . . .
   6:  . . . . . . X . . X X X . . . . . . . . . . . .
   7:  . . . . . . . X X . . . X X . . . . . . . . . .
   8:  . . . . . . . X X X . X X X . . . . . . . . . .
   9:  . . . . . . X . X X X X . X . . . . . . . . . .
  10:  . . . . . . X . . X X X . . . . . . X . . X . .
  11:  . . . . . . X . X X X X . X . X . . X . . X . .
  12:  . . . . . . . X X . . . X X X X . . . . . . . .
  13:  . . . . . . . X X X . X X X X X . . . . . X . .
  14:  . . . . . X . . . . . . X X X X X . . . . . . .
  15:  . . . . . X . . . . . X X X X X X . . . . X . X
  16:  . . . . X X . . . . . . . . X X X . . X . X X X
  17:  X X . . . . . . . . . . . . . . . X . X X . X .
  18:  . . X . . . . . . . X X . . . . . . X . . X . X
  19:  . . . X X X . . . . . . . . . . X X . X X . X X
  20:  . . . X X . . . . . . . . . . . . X . X X . X .
  21:  . . X . . . . . . . X X . X . X X . X . . X . X
  22:  X X X . . . . . . . . . . . . . X X . X X . X X
  23:  . X X . . . . . . . . . . . . X X . X X . X X X