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

 F08ME_A1W_F Example Program Results

 Singular values
     4.0001  3.0006  1.9960  0.9998

 Left singular vectors, by column
          1       2       3       4
 1   0.8261  0.5246  0.2024  0.0369
 2   0.4512 -0.4056 -0.7350 -0.3030
 3   0.2823 -0.5644  0.1731  0.7561
 4   0.1852 -0.4916  0.6236 -0.5789
 Right singular vectors, by row
          1       2       3       4
 1   0.9129  0.3740  0.1556  0.0512
 2  -0.3935  0.7005  0.5489  0.2307
 3   0.1081 -0.5904  0.6173  0.5086
 4  -0.0132  0.1444 -0.5417  0.8280


  Derivatives calculated: First order adjoints
  Computational mode    : algorithmic

  Derivatives of S.V.s w.r.t. d, e on input:
  dS_i/dD_j
               1            2            3            4
 1    7.5412E-01  -2.0642E-01   2.1883E-02  -4.8617E-04
 2    1.6871E-01  -2.8411E-01   4.3394E-01  -4.3740E-02
 3    4.3937E-02  -3.0980E-01   1.0684E-01  -4.0963E-01
 4    9.4777E-03  -1.1342E-01   3.1716E-01  -4.7929E-01

  dS_i/dE_j
          1       2       3
 1   0.4789 -0.0796  0.0040
 2  -0.1517 -0.5148  0.1789
 3  -0.0879  0.0950  0.4668
 4  -0.0252  0.1439 -0.2944