NAG Library Manual, Mark 28.5
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NAG AD Library Introduction
Example description

 F08KD_T1W_F Example Program Results

 Singular values
     9.9966  3.6831  1.3569  0.5000
 Left singular vectors
          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 (first m rows of V**T)
          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 S w.r.t. first column of A:
               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