f01fj
is the AD Library version of the primal routine
f01fjf.
Based (in the C++ interface) on overload resolution,
f01fj 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.
f01fj
is the AD Library version of the primal routine
f01fjf.
f01fjf computes the principal matrix logarithm,
, of a complex
matrix
, with no eigenvalues on the closed negative real line.
For further information see
Section 3 in the documentation for
f01fjf.
Al–Mohy A H and Higham N J (2011) Improved inverse scaling and squaring algorithms for the matrix logarithm SIAM J. Sci. Comput. 34(4) C152–C169
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.
f01fj preserves all error codes from
f01fjf and in addition can return:
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.
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.
A C++ exception was thrown.
The error message will show the details of the C++ exception text.
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
f01fjf,
modified to demonstrate calling the NAG AD Library.
This example finds the principal matrix logarithm of the matrix