NAG Library Manual, Mark 30.2
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NAG AD Library Introduction
Example description

 F07CD_A1W_F Example Program Results

 Solution(s)
             1          2
 1     -4.0000     5.0000
 2      7.0000    -4.0000
 3      3.0000    -3.0000
 4     -4.0000    -2.0000
 5     -3.0000     1.0000

  Derivatives calculated: First order adjoints
  Computational mode    : algorithmic

  Derivatives of first solution column w.r.t. inputs:
 dx/d(du)
             1          2          3          4
 1     -8.5184     0.5022     0.2171    -0.1835
 2     12.1691    -0.7174    -0.3101     0.2621
 3      6.0265     0.0574     0.0248    -0.0210
 4     -7.1982    -0.0686     0.6529    -0.5517
 5     -6.0830    -0.0579     0.5517    -0.0437
 dx/d(d)
             1          2          3          4          5
 1      4.8677     1.1718    -0.1628    -0.2446    -3.1375
 2     -6.9538    -1.6740     0.2326     0.3494     5.9107
 3     -3.4437     0.1339    -0.0186    -0.0280     2.9271
 4      4.1132    -0.1600    -0.4897    -0.7357    -3.4963
 5      3.4760    -0.1352    -0.4138    -0.0583    -2.9546
 dx/d(dl)
             1          2          3          4
 1    -14.2233    26.3550    21.9625    25.1000
 2     26.7953   -49.6500   -41.3750   -47.2858
 3     13.2697   -24.5880   -20.4900   -23.4171
 4    -15.8497    29.3685    24.4738    27.9700
 5    -13.3941    24.8185    20.6820    23.6366
 dx/d(b)
             1          2          3          4          5
 1     -1.0458     1.2169    -0.1674     0.0543    -0.0612
 2      1.9702    -1.7384     0.2391    -0.0775     0.0874
 3      0.9757    -0.8609    -0.0191     0.0062    -0.0070
 4     -1.1654     1.0283     0.0229     0.1632    -0.1839
 5     -0.9849     0.8690     0.0193     0.1379    -0.0146