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. Conditioning of Wilkinson's... · Stability analysis |
4 мар. 2013 г. · Wilkinson's polynomials are a family of polynmials with deceptively sensitive roots.Contents$P_n$$P_{20}$CoefficientsSymbolic formDouble ... |
12 авг. 2020 г. · Wilkinson's polynomial is ill conditioned because of the huge ratio of the error in the solution to an error in the data. The ratio you cite is ... Wilkinson's Polynomial Derivative - Math Stack Exchange Perturbation of roots in Wilkinson's polynomial Другие результаты с сайта math.stackexchange.com |
30 янв. 2020 г. · The above example shows how the extraction of polynomial roots can be an ill-conditioned problem, even for polynomials with well-separated zeros ... |
The special case W(x,20) = x20 − 210x19 + ··· + 2432902008176640000 is sometimes called the Wilkinson polynomial or Wilkinson's polynomial and denoted by w(x). |
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21 февр. 2014 г. · Wilkinson's polynomial is defined as w(x)=∏20i=1(x−i)=(x−1)(x−2)…(x−20). This innocent looking function has 20 roots, which are 1,2,3,…,19 ... |
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 ... |
Download Table | Computation of roots of Wilkinson's polynomial from publication: SOLVING NONLINEAR POLYNOMIAL SYSTEMS IN THE TRIANGULAR BERNSTEIN-BÉZIER ... |
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