The Moreau-Yosida regularization of DFT may also be of practical interest as a tool for guaranteeing and improving convergence of the Kohn-Sham iterations. (4.5.7) Laestadius : Representability of a given density ρ can also be understood as the Lieb functional F (2.1.13)) attaining its maximum, such that ρ is representable by its maximizing potential. In analogy with the above discussion of the Moreau-Yosida procedure, a maximizing potential can here be guaranteed by a regularization of of E[v]ρ(r)v(r)dr using fixed weight functions α i ∈ L ∞ . Such a scheme only makes use of partial information of the density constraint, i.e., ρα i = ρ Γ α i , for all i (for more details see Ref. 689).