Task 08

Task 08

deadline: 25/04/2021 23:59 CET

[0.5 points]: Find a global minimum of the Mishra’s Bird function

\[ f(x, y) = \sin(y) \exp \left[(1 - \cos x)^2\right] + \cos(x) \exp \left[(1 - \sin y)^2\right] + (x - y)^2 \]

in the search domain \( [-3 \pi \, / \, 2, - \pi \, / \, 2] \times [-\pi, 0] \) with the error tolerance of \( 10^{-7} \)using the steepest descent method. Print the coordinates of minimum and the value of \( f(x, y) \) at this point.

[0.5 points]: Plot the contours of \( f(x, y) \) in the search domain specified above and mark the minimum.

# add your code here