Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Using MATLAB functions poly and polyder, compute the relative condition
numbers of the roots 1, 2, ..., 20 of the Wilkinson polynomial
20
w(x) = (x1)(x-2)(x - 20) = x²0
210x¹⁹+...
19
with respect to perturbation of the coefficient of 2x¹⁹, a19, from -210 to -210+2-23
Present your results in a tabular form and write your conclusion on the ill-conditioninig
of the Wilkinson polynomial.
(Recall: condition number for the jth root is kj
|a₁x²=1|
\w'(x₂)
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Transcribed Image Text:Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots 1, 2, ..., 20 of the Wilkinson polynomial 20 w(x) = (x1)(x-2)(x - 20) = x²0 210x¹⁹+... 19 with respect to perturbation of the coefficient of 2x¹⁹, a19, from -210 to -210+2-23 Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. (Recall: condition number for the jth root is kj |a₁x²=1| \w'(x₂)
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