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

F11JC_T1W_F C++ Header Example Program Results

 Converged in 1 iterations
 Final residual norm = 7.10543e-15

  Solution vector
  1.0000e+00
  2.0000e+00
  3.0000e+00
  4.0000e+00
  5.0000e+00
  6.0000e+00
  7.0000e+00

 Derivatives calculated: First order tangents
 Computational mode    : algorithmic

 Derivatives of solution X w.r.t RHS Y:

        dx_i/dy_j
            1          2          3          4          5          6          7
 1      0.7621    -0.4234    -0.6492     0.1734     0.3266     0.3589    -0.6492
 2     -0.4234     0.5685     0.4718    -0.3185    -0.1815    -0.3105     0.4718
 3     -0.6492     0.4718     1.4234    -0.2218    -0.2782    -0.3427     0.9234
 4      0.1734    -0.3185    -0.2218     0.5685    -0.0685     0.0605    -0.2218
 5      0.3266    -0.1815    -0.2782    -0.0685     0.5685     0.4395    -0.2782
 6      0.3589    -0.3105    -0.3427     0.0605     0.4395     0.7298    -0.3427
 7     -0.6492     0.4718     0.9234    -0.2218    -0.2782    -0.3427     0.9234