.ipynb .pdf

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Binder Live Code

Task 04

deadline: 21/03/2021 23:59 CET

[0.25 points]: Edit the conjugate gradient method so that it returns a list of all iterations $x^{(k)}$ (including the initial guess).

[0.25 points]: Solve the following system of linear equations

$$4x_1+x_2=1,$$

$$x_1+3x_2=2$$

using the edited conjugate gradient method withe the error tolerance of ${10}^{-15}$. Print the list of all iterations $x^{(k)}$.

[0.5 points]: Plot the iterations $x^{(k)}$ and the contours of the function

$$f(x)=1/2x^T\mathbb{A}x-x^{T}b,x\in [-1,1]\times [-1,1],$$

where $\mathbb{A}$ is the coefficient matrix and $b$ is the right-hand side vector, using the matplotlib.pyplot.scatter and the matplotlib.pyplot.contour functions, respectively.

# add your code here

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