[eigen] Using Cholmods LDLT factorization with eigen.

[Brad Bell <bradbell@xxxxxxxxxx>]

I have a case where I need both the LDLT factorization and permutation 
corresponding to the factorization; i.e., I need eigen matrices 
corresponding to L, D, and P in
    P * A * P' = L * D * L'
In addition, I wish to ensure that factorization corresponds to the 
corresponding cholmod routine.

Looking at the specifications for
https://eigen.tuxfamily.org/dox/classEigen_1_1SimplicialLDLT.html
I see that  the Eigen simplicial LDLT routine can return the necessary 
information. But looking at
https://eigen.tuxfamily.org/dox/classEigen_1_1CholmodSimplicialLDLT.html
I do not see member functions for obtaining L, D, and P. On the other 
hand I do see the text
    'This simplicial variant is equivalent to Eigens's built-in 
SimplicialLDLT class.'

Are the L, D, and P matrices accessible from CholmodSimplicialLDLT ?

If not, under what conditions can I be certain that cholmod is being 
used for the factorization when I use the SimplicialLDLT class ?