NAG Library Manual, Mark 29
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NAG AD Library Introduction
Example description

 F07AE_T1W_F Example Program Results

 Solution
             1          2
 1      1.0000     3.0000
 2     -1.0000     2.0000
 3      3.0000     4.0000
 4     -5.0000     1.0000

  Derivatives calculated: First order tangents
  Computational mode    : algorithmic

  Derivatives of solution X w.r.t. RHS B (A inverse)

        dx(i,1)/db(j,1)
             1          2          3          4
 1      1.7720     0.5757     0.0843     4.8155
 2     -0.1175    -0.4456     0.4114    -1.7126
 3      0.1799     0.4527    -0.6676     1.4824
 4      2.4944     0.7650    -0.0360     7.6119