Level-shifting is used to improve the convergence of this method. Certain matrix elements of the output of this method must equal 0, according to Brillouin’s theorem. The total spin angular momentum is not well-defined for the unrestricted open-shell formalism of this method. The Davidson correction can reduce the lack of size-consistency when using configuration interaction or the coupled cluster method for this method. This method can be reduced to solving a matrix equation named after C. C. J. Roothaan by introducing (15[1])the (*) overlap integral. The sum of the Coulomb operator minus the exchange operator appears in a namesake (10[1])operator of this method. A Slater determinant (10[1])is used in this self-consistent field method (10[1])that iterates on a set of trial spinorbitals. For 10 points, name this doubly-eponymous method for approximating the ground-state wavefunction of a multi-electron system. ■END■ (10[1])