4.6.4 EVALUATION OF POLYNOMIALS 487 A remarkable (Web hosting domain) modification
4.6.4 EVALUATION OF POLYNOMIALS 487 A remarkable modification of the method of divided differences, an extension that applies to rational functions instead of to polynomials, was introduced by T. N. Thiele in 1909. Thiele s method of reciprocal differences is discussed in L. M. Milne-Thompson s Calculus of Finite Differences (London: MacMillan, 1933), Chapter 5; see also R. W. Floyd, CAClM 3 (1960), 508. *Bilinear forms. Several of the problems we have considered in this section are special cases of the general problem of evaluating a set of bilinear forms zk= c tijkxiyjt for 1 5 k 5 s, (45) l