The point procedure PRZSS1 for the simultaneous estimation of the zeros of a polynomial

The order of convergence of the existing interval zoro symmetric singlestep procedure is at least 4. the point version shares the same order of convergence. the point version of the interval zoro symmetric singlestep procedure,aptly called point zoro symmetric single-step procedure,is modified by repeating the two forward and one backward steps r times. this modified procedure is named as point repeated zoro symmetric single-step procedure. it is shown that this procedure converges at the rate of at least 3r + 1 where r ≥ 1. this procedure and that of the point zoro symmetric single-step procedure are identical when r = 1. numerical results show that the proposed point repeated zoro symmetric single-step procedure possesses higher rate of convergence than does the point zoro symmetric single-step procedure.