NAG Library Manual, Mark 29
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NAG AD Library Introduction
Example description
F08KD_A1W_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 adjoints
 Computational mode    : symbolic

 Derivatives of Singular values w.r.t first column of A

 Singular value 1
            5.33e-02 -2.44e-01  5.94e-02 -1.05e-01

 Singular value 2
            4.82e-01  2.36e-01  1.79e-01 -2.01e-01

 Singular value 3
           -5.20e-04  9.60e-03 -1.00e-01 -7.89e-02

 Singular value 4
           -7.46e-02  3.42e-02  6.65e-02 -7.96e-02