Automatic Error Bounds on Real Zeros of Rational Functions A procedure for implementing an interval arithmetic version of the Newton-Raphson method is proposed. The procedure require only a starting interval over which the zeros of a given rational function are to be located. The method automatically provides bounds for roundoff error. CACM November, 1966 Dargel, R. H. Loscalzo, F. R. Witt, T. H. CA661107 JB March 2, 1978 3:31 PM 1351 5 1351 1351 5 1351 1351 5 1351