The problem of eigenvalue assignment in the systemdx/dt equals; Ax + Bu, y = Dx, using the dyadic output feedback lawu = u0+ q · pTy is considered via a formulation developed earlier by the author, in whichpandqoccur in the Kronecker product vector p⊗q. The equations governing the values ofpandqwhich give an optimum approximation to a prescribed spectrum of eigenvalues are derived, and a special case is solved. Various facets of the problem of generating suboptimal solutions are discussed.