f03bf
is the AD Library version of the primal routine
f03bff.
Based (in the C++ interface) on overload resolution,
f03bf can be used for primal, tangent and adjoint
evaluation. It supports tangents and adjoints of first order.
Note: this function can be used with AD tools other than dco/c++. For details, please contact
NAG.
f03bf
is the AD Library version of the primal routine
f03bff.
f03bff computes the determinant of a real
$n\times n$ symmetric positive definite matrix
$A$.
f07fdf must be called first to supply the symmetric matrix
$A$ in Cholesky factorized form. The storage (upper or lower triangular) used by
f07fdf is not relevant to
f03bff since only the diagonal elements of the factorized
$A$ are referenced.
For further information see
Section 3 in the documentation for
f03bff.
A brief summary of the AD specific arguments is given below. For the remainder, links are provided to the corresponding argument from the primal routine.
A tooltip popup for all arguments can be found by hovering over the argument name in
Section 2 and in this section.
f03bf preserves all error codes from
f03bff and in addition can return:
- ${\mathbf{ifail}}=-89$
An unexpected AD error has been triggered by this routine. Please
contact
NAG.
See
Error Handling in the NAG AD Library Introduction for further information.
- ${\mathbf{ifail}}=-199$
The routine was called using a strategy that has not yet been implemented.
See
AD Strategies in the NAG AD Library Introduction for further information.
- ${\mathbf{ifail}}=-444$
A C++ exception was thrown.
The error message will show the details of the C++ exception text.
- ${\mathbf{ifail}}=-899$
Dynamic memory allocation failed for AD.
See
Error Handling in the NAG AD Library Introduction for further information.
Not applicable.
None.
The following examples are variants of the example for
f03bff,
modified to demonstrate calling the NAG AD Library.
This example computes a Cholesky factorization and calculates the determinant of the real symmetric positive definite matrix