Task 05¶

deadline: 28/03/2021 23:59 CET

[0.5 points]: Approximate the function

\begin{array}{r} f (x) = {\begin{cases} - 1 & if x \leq 5 \\ 1 & if x > 5 \end{cases} \end{array}

in the $[0, 10]$ interval with the Lagrange interpolating polynomial using the roots of the $10$ -th degree Chebyshev polynomial (you may use the scipy.interpolate.lagrange and scipy.special.roots_chebyt functions). Print the interpolating polynomial.

[0.5 points]: Plot the function $f (x)$ , the interpolating polynomial, and the absolute error of the approximation.

# add your code here

12NME1 - Numerical methods

Task 05

Task 05¶