  Density functional theory (DFT), one of the most widely utilized methods
available to computational chemistry, fails to describe systems with statically
correlated electrons. To address this shortcoming, in previous work we
transformed DFT into a one-electron reduced density matrix theory (1-RDMFT) via
the inclusion of a quadratic one-electron reduced density matrix (1-RDM)
correction. Here, we combine our 1-RDMFT approach with different DFT
functionals as well as Hartree-Fock to elucidate the method's dependence on the
underlying functional selection. Furthermore, we generalize the information
density matrix functional theory (iDMFT), recently developed as a correction to
the Hartree-Fock method, by incorporating density functionals in place of the
Hartree-Fock functional. We relate iDMFT mathematically to our approach and
benchmark the two with a common set of functionals and systems.
