Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
It is shown that if one uses a carefully defined concept of stability (Stewart, G.W., Introduction to matrix computations, Academic Press, New York and London, 1973) then Horner's rule for the evaluation of a polynomial and some other evaluation methods are not always stable. A method is presented which is always stable. The operations count for this method is the same as that for Horner's rule. The method is generalized to apply to all rational functions of one variable. © 1983 Springer-Verlag.
Michael E. Henderson
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
D.S. Turaga, K. Ratakonda, et al.
SCC 2006
John R. Kender, Rick Kjeldsen
IEEE Transactions on Pattern Analysis and Machine Intelligence
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997