Discrete Least Squares Polynomial Fits The recurrence relation between orthogonal polynomials is widely used for discrete least squares data fitting. A variant of the classical algorithm which has better numerical properties is presented and the reason for its improved performance is explained. CACM March, 1975 Shampine, L. F. orthogonal polynomials, data fitting, least squares, recurrence relation between orthogonal polynomials, residual 5.11 5.13 CA750309 JB January 9, 1978 4:29 PM 2779 5 2779 2779 5 2779 2779 5 2779