lxsd / fvn

Blame view

fvn_sparse/AMD/Demo/amd_demo.out 7.41 KB
edit raw normal view history
422234dc3   daniau   git-svn-id: https... 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
 
  AMD version 2.2, date: May 31, 2007
  AMD demo, with 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
  
  
  Input matrix:  24-by-24, with 160 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.
  
  Column: 0, number of entries: 9, with row indices in Ai [0 ... 8]:
      row indices: 0 5 6 12 13 17 18 19 21
  
  Column: 1, number of entries: 6, with row indices in Ai [9 ... 14]:
      row indices: 1 8 9 13 14 17
  
  Column: 2, number of entries: 6, with row indices in Ai [15 ... 20]:
      row indices: 2 6 11 20 21 22
  
  Column: 3, number of entries: 6, with row indices in Ai [21 ... 26]:
      row indices: 3 7 10 15 18 19
  
  Column: 4, number of entries: 6, with row indices in Ai [27 ... 32]:
      row indices: 4 7 9 14 15 16
  
  Column: 5, number of entries: 6, with row indices in Ai [33 ... 38]:
      row indices: 0 5 6 12 13 17
  
  Column: 6, number of entries: 9, with row indices in Ai [39 ... 47]:
      row indices: 0 2 5 6 11 12 19 21 23
  
  Column: 7, number of entries: 9, with row indices in Ai [48 ... 56]:
      row indices: 3 4 7 9 14 15 16 17 18
  
  Column: 8, number of entries: 4, with row indices in Ai [57 ... 60]:
      row indices: 1 8 9 14
  
  Column: 9, number of entries: 9, with row indices in Ai [61 ... 69]:
      row indices: 1 4 7 8 9 13 14 17 18
  
  Column: 10, number of entries: 6, with row indices in Ai [70 ... 75]:
      row indices: 3 10 18 19 20 21
  
  Column: 11, number of entries: 6, with row indices in Ai [76 ... 81]:
      row indices: 2 6 11 12 21 23
  
  Column: 12, number of entries: 6, with row indices in Ai [82 ... 87]:
      row indices: 0 5 6 11 12 23
  
  Column: 13, number of entries: 6, with row indices in Ai [88 ... 93]:
      row indices: 0 1 5 9 13 17
  
  Column: 14, number of entries: 6, with row indices in Ai [94 ... 99]:
      row indices: 1 4 7 8 9 14
  
  Column: 15, number of entries: 6, with row indices in Ai [100 ... 105]:
      row indices: 3 4 7 15 16 18
  
  Column: 16, number of entries: 4, with row indices in Ai [106 ... 109]:
      row indices: 4 7 15 16
  
  Column: 17, number of entries: 9, with row indices in Ai [110 ... 118]:
      row indices: 0 1 5 7 9 13 17 18 19
  
  Column: 18, number of entries: 9, with row indices in Ai [119 ... 127]:
      row indices: 0 3 7 9 10 15 17 18 19
  
  Column: 19, number of entries: 9, with row indices in Ai [128 ... 136]:
      row indices: 0 3 6 10 17 18 19 20 21
  
  Column: 20, number of entries: 6, with row indices in Ai [137 ... 142]:
      row indices: 2 10 19 20 21 22
  
  Column: 21, number of entries: 9, with row indices in Ai [143 ... 151]:
      row indices: 0 2 6 10 11 19 20 21 22
  
  Column: 22, number of entries: 4, with row indices in Ai [152 ... 155]:
      row indices: 2 20 21 22
  
  Column: 23, number of entries: 4, with row indices in Ai [156 ... 159]:
      row indices: 6 11 12 23
  
  Plot of 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 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: 0 (should be 0)
  
  AMD version 2.2.0, May 31, 2007, results:
      status: OK
      n, dimension of A:                                  24
      nz, number of nonzeros in A:                        160
      symmetry of A:                                      1.0000
      number of nonzeros on diagonal:                     24
      nonzeros in pattern of A+A' (excl. diagonal):       136
      # dense rows/columns of A+A':                       0
      memory used, in bytes:                              1516
      # 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 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