The width and shape of the ρ resonance are computed from a single-channel ND formalism with inelastic unitarity. The input force is assumed to be furnished primarily by the exchange of the ρ in the crossed channels. The input mass (760 MeV) and width (~100 MeV) are taken from experiment. The inelastic factor η is assumed to be determined by the ππ-->πω reaction at low energy and fitted to various arbitrary forms at higher energies. A cutoff is adjusted to produce the ρ resonance at the observed energy. The smallest output width obtained is 250 MeV, as compared with 600 MeV for the pure-elastic-scattering (η≡1) calculation. A more nearly symmetric shape for the resonance is obtained when inelastic effects are considered.