NAG Library Manual, Mark 28.3
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NAG AD Library Introduction
Example description

F08KB_T1W_F C++ Header Example Program Results

             Singular values:
      9.997      3.683      1.357        0.5

 Left singular vectors by column
         1       2       3       4
 1  -0.1921  0.8030 -0.0041  0.5642
 2   0.8794  0.3926  0.0752 -0.2587
 3  -0.2140  0.2980 -0.7827 -0.5027
 4   0.3795 -0.3351 -0.6178  0.6017

 Right singular vectors by row
         1       2       3       4       5       6
 1  -0.2774 -0.2020 -0.2918  0.0938  0.4213 -0.7816
 2   0.6003  0.0301 -0.3348  0.3699 -0.5266 -0.3353
 3   0.1277 -0.2805 -0.6453 -0.6781 -0.0413  0.1645
 4  -0.1323 -0.7034 -0.1906  0.5399  0.0575  0.3957


 Derivatives calculated: First order tangents
 Computational mode    : algorithmic

 Derivatives of Singular values w.r.t first column of A
  dS_i/dA_j1
              1            2            3            4
 1    5.3279e-02  -2.4390e-01   5.9360e-02  -1.0525e-01
 2    4.8204e-01   2.3567e-01   1.7892e-01  -2.0118e-01
 3   -5.1973e-04   9.6048e-03  -9.9963e-02  -7.8897e-02
 4   -7.4626e-02   3.4224e-02   6.6488e-02  -7.9583e-02