 The continued fraction solution to the general monic quadratic equation with complex coefficients

given by

converges or not depending on the value of the discriminant, "b"2 − 4"c", and on the relative magnitude of its two roots.Denoting the two roots by "r"1 and "r"2 we distinguish three cases.In case 2, the rate of convergence depends on the absolute value of the ratio between the two roots