NAG Library Manual, Mark 30.2
Interfaces:  FL   CL   CPP   AD 

NAG AD Library Introduction
Example description

F11JB_A1W_F C++ Header Example Program Results

  Solution vector
  7.0000e-01
  1.6000e-01
  5.2000e-01
  7.7000e-01
  2.8000e-01
  2.1000e-01
  9.3000e-01
  2.0000e-01
  9.0000e-01

 Derivatives calculated: First order adjoints
 Computational mode    : algorithmic

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

        dx_i/dy_j
         1       2       3       4       5       6       7       8       9
 1   0.4671  0.2668 -0.1755 -0.0489 -0.2861  0.0841  0.2396  0.0216 -0.0296
 2   0.2668  0.5889 -0.3918 -0.1274 -0.2620  0.1947  0.4687  0.0072  0.0457
 3  -0.1755 -0.3918  0.8283  0.1739  0.1888 -0.2647 -0.3368 -0.0077 -0.0676
 4  -0.0489 -0.1274  0.1739  0.5248  0.0825 -0.2204 -0.1354  0.1338 -0.0970
 5  -0.2861 -0.2620  0.1888  0.0825  0.4821 -0.1157 -0.2743  0.0163 -0.0820
 6   0.0841  0.1947 -0.2647 -0.2204 -0.1157  0.3347  0.2049  0.0083  0.0895
 7   0.2396  0.4687 -0.3368 -0.1354 -0.2743  0.2049  0.5590  0.0035  0.0590
 8   0.0216  0.0072 -0.0077  0.1338  0.0163  0.0083  0.0035  0.4180 -0.1119
 9  -0.0296  0.0457 -0.0676 -0.0970 -0.0820  0.0895  0.0590 -0.1119  0.3283