Next steps

An accessible but more advanced discussion of machine arithmetic and roundoff error can be found in Higham [Hig02].

Interesting and more advanced discussion of the numerical difficulties of finding the roots of polynomials can be found in the article by Wilkinson, “The Perfidious Polynomial” [Wil84] and in the ripostes from Cohen, “Is the Polynomial so Perfidious?” [Coh94] and from Trefethen, “Six myths of polynomial interpolation and quadrature,” (Myth 6) [Tre11].