Editing Wilkinson's polynomial (section)

==Wilkinson's second example==
The second example considered by Wilkinson is
<math display="block"> w_2(x) = \prod_{i=1}^{20} (x - 2^{-i}) = (x-2^{-1})(x-2^{-2}) \cdots (x-2^{-20}). </math>
The twenty roots of this polynomial are in a [[geometric progression]] with common ratio 2, and hence the quotient
<math display="block"> \alpha_j\over \alpha_j-\alpha_k </math>
cannot be large. Indeed, the roots of {{math|''w''<sub>2</sub>}} are quite stable to large ''relative'' changes in the coefficients.