Wilkinson's Polynomial

In numerical analysis, Wilkinson's polynomial is a specific polynomial which was used by James H. Wilkinson in 1963 to illustrate a difficulty when finding the root of a polynomial: the location of the roots can be very sensitive to perturbations in the coefficients of the polynomial.

The polynomial is

Sometimes, the term Wilkinson's polynomial is also used to refer to some other polynomials appearing in Wilkinson's discussion.

Read more about Wilkinson's Polynomial:  Background, Conditioning of Wilkinson's Polynomial, Stability Analysis, Wilkinson's Second Example, The Effect of The Basis