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

 F03BA_T1W_F Example Program Results

 Array A after factorization
             1          2          3
 1     33.0000    16.0000    72.0000
 2     -0.7273     1.6364    -4.6364
 3     -0.2424    -0.0741     0.1111

 Pivots
              1             2             3

 D =       0.37500 ID =            4

 Value of determinant =   0.60000E+01

  Derivatives calculated: First order tangents
  Computational mode    : algorithmic

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

        d(d)/da
             1          2          3
 1     -3.6250     3.0000     1.0000
 2     -1.0000     0.9375     0.2500
 3    -12.0000     9.5625     3.3750