Other factorizations: parametrization or new names?

[timholy]

Based on mateuszbaran/CovarianceEstimation.jl#90 we're likely to want something like PDMat that supports different factorizations. Two factorizations are currently under discussion:

• Eigen
• SymWoodbury with a Diagonal or UniformScaling "main matrix" (A in https://en.wikipedia.org/wiki/Woodbury_matrix_identity)

Both of these can be efficiently checked for positive (semi) definiteness and would seem to fit here. There seem to be multiple instantiations, though: should the existing PDMat be renamed PDCholesky? Or should we add a F<:Factorization{T} parameter? Either is workable, I'm opening this largely to ask for guidance about your preferences.

CC @mateuszbaran

[devmotion]

We are about to unify PDMat and PDSparseMat in #188. This will already introduce a F<:Factorization type parameter, so extending PDMats to other factorizations will be much simpler after this change.