NAG Library Manual, Mark 30.3
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NAG AD Library Introduction
Example description

 F03BF_A1W_F Example Program Results

 Array A after factorization
             1          2          3          4
 1      2.4495
 2      2.8577     1.6833
 3      2.4495     0.5941     2.1557
 4      2.0412     0.6931     1.6645     1.8927

 D =       0.06909 ID =           12

 Value of determinant =   0.28300E+03

  Derivatives calculated: First order adjoints
  Computational mode    : algorithmic

  Derivatives of scaled determinant of A w.r.t. A

        d(d)/da
          1       2       3       4
 1   0.0500
 2  -0.0513  0.0266
 3  -0.0205 -0.0063  0.0264
 4   0.0039 -0.0054 -0.0298  0.0193