{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Task 08\n", "\n", "**deadline: 25/04/2021 23:59 CET**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**[0.5 points]:** Find a global minimum of the Mishra's Bird function\n", "\n", "$$\n", "f(x, y) = \\sin(y) \\exp \\left[(1 - \\cos x)^2\\right] + \\cos(x) \\exp \\left[(1 - \\sin y)^2\\right] + (x - y)^2\n", "$$\n", "\n", "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.\n", "\n", "**[0.5 points]:** Plot the contours of $ f(x, y) $ in the search domain specified above and mark the minimum." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "\n", "# add your code here\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }