The d'alembertian operator on vector doublets may be factored with a pair of four-by-four matrices via simple partial derivatives as elements. As a generalization of the d'alembertian operator,the Helmholtzian operator on vector doublets may be factored with a pair of four-by-four matrices via simple partial derivatives augmented by adding certain constants as elements thereto. The Covariant Helmholtzian operator generalizes these, where the elements of the pair of four-by-four matrices are covariant derivatives applying to the vector doublet operated on. Thus, the d'alembertian operator is a Covariant Helmholtzian operator operated in a flat rectangular Cartesian space; the Helmholtzian operator is a Covariant Helmholtzian operator operated in a space of curvature where all the Christoffel symbols are appropriate constants.