id: 06210896
dt: j
an: 2013e.00759
au: McKee, Bill
ti: Wilkinson polynomials.
so: Parabola 48, No. 3, 17-23 (2012).
py: 2012
pu: AMT Publishing, Australian Mathematics Trust, University of Canberra,
Canberra; School of Mathematics \& Statistics, University of New South
Wales, Sydney
la: EN
cc: N30 N40 I20 H30 I40
ut: polynomials; algebra; polynomial equations; polynomial functions; integer
zeros; numerical analysis; numerical algebra; Newton method;
approximate numerical solution; Graeffe’s method; Bairstow’s
method; convergence; iteration; approximation; mathematics and
computers; errors
ci:
li:
ab: From the introduction: This article is about a family of polynomials
introduced by James H. Wilkinson some five decades ago, which have the
peculiar property that some of their zeros are extremely sensitive to
small changes in the values of one or more of the coefficients.
rv: