{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "# Exercise Sheet 7",
   "id": "9f8d2321e74ad9dc"
  },
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:30.735615Z",
     "start_time": "2026-05-07T12:08:29.509599Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import sympy as sp\n",
    "import matplotlib.pyplot as plt"
   ],
   "outputs": [],
   "execution_count": 3
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "## Example 1",
   "id": "138aa2617761bec0"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:32.866492Z",
     "start_time": "2026-05-07T12:08:32.655749Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x, y = sp.symbols(\"x y\")\n",
    "f = 5 + 5 * x**2 + 2 * y**2 - 10 * x - 6 * y + 6 * x * y\n",
    "f_num = sp.lambdify((x, y), f)\n",
    "f_grad = sp.Matrix([sp.diff(f, x), sp.diff(f, y)])\n",
    "f_grad_num = sp.lambdify((x, y), list(f_grad)) # use list here to get a nicer output as flat array"
   ],
   "id": "29bc3056ec2d7800",
   "outputs": [],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:34.826058Z",
     "start_time": "2026-05-07T12:08:34.817592Z"
    }
   },
   "cell_type": "code",
   "source": [
    "step_size = 0.1\n",
    "sol_0 = np.array([1, 1])\n",
    "sol_1 = sol_0 - step_size * np.array(f_grad_num(sol_0[0], sol_0[1]))\n",
    "sol_1"
   ],
   "id": "623d6582936bf08a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.4, 0.6])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:44.251785Z",
     "start_time": "2026-05-07T12:08:44.247665Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sol_2 = sol_1 - step_size * np.array(f_grad_num(sol_1[0], sol_1[1]))\n",
    "sol_2"
   ],
   "id": "910ab543cc32532a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.64, 0.72])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:46.006918Z",
     "start_time": "2026-05-07T12:08:46.002140Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sol_3 = sol_2 - step_size * np.array(f_grad_num(sol_2[0], sol_2[1]))\n",
    "sol_3"
   ],
   "id": "96bc12daaf602bbc",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.568, 0.648])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:48.052208Z",
     "start_time": "2026-05-07T12:08:48.047882Z"
    }
   },
   "cell_type": "code",
   "source": [
    "sol_old = sol_0\n",
    "sol_new = sol_old\n",
    "solutions = [sol_old]\n",
    "\n",
    "for i in range(50):\n",
    "    sol_new = sol_old - step_size * np.array(f_grad_num(sol_old[0], sol_old[1]))\n",
    "    solutions.append(sol_new)\n",
    "    sol_old = sol_new\n",
    "    \n",
    "sol_new"
   ],
   "id": "646d0d3b20a8519e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.89826754, 0.16460657])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:51.219960Z",
     "start_time": "2026-05-07T12:08:51.210021Z"
    }
   },
   "cell_type": "code",
   "source": [
    "stationary_points = sp.solve([sp.diff(f, x), sp.diff(f, y)], [x, y], dict = True)\n",
    "stationary_points"
   ],
   "id": "264df5fc57b90f0c",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{x: 1, y: 0}]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 9
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:54.583543Z",
     "start_time": "2026-05-07T12:08:54.578112Z"
    }
   },
   "cell_type": "code",
   "source": [
    "H = sp.hessian(f, (x, y))\n",
    "H"
   ],
   "id": "d2f51806a36e311a",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Matrix([\n",
       "[10, 6],\n",
       "[ 6, 4]])"
      ],
      "text/latex": "$\\displaystyle \\left[\\begin{matrix}10 & 6\\\\6 & 4\\end{matrix}\\right]$"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:56.885778Z",
     "start_time": "2026-05-07T12:08:56.879476Z"
    }
   },
   "cell_type": "code",
   "source": [
    "eigenvalues_values = [H.subs({x: sol[x], y: sol[y]}).eigenvals() for sol in stationary_points]\n",
    "eigenvalues_values"
   ],
   "id": "670bf7f3d8061d40",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{7 - 3*sqrt(5): 1, 3*sqrt(5) + 7: 1}]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:08:58.651336Z",
     "start_time": "2026-05-07T12:08:58.645292Z"
    }
   },
   "cell_type": "code",
   "source": "[ev.evalf() for ev in eigenvalues_values[0].keys()]",
   "id": "8e3963be99a1b760",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.291796067500631, 13.7082039324994]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "So we get a minimum!",
   "id": "7103b02d729598e6"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2026-05-07T12:09:01.392735Z",
     "start_time": "2026-05-07T12:09:01.174902Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x_num = np.linspace(0, 1.5, 400)\n",
    "y_num = x_num\n",
    "X_num, Y_num = np.meshgrid(x_num, y_num)\n",
    "Z_num = f_num(X_num, Y_num)\n",
    "\n",
    "path = np.array(solutions)\n",
    "x_path = path[:, 0]\n",
    "y_path = path[:, 1]\n",
    "\n",
    "plt.contour(X_num, Y_num, Z_num, 20)\n",
    "\n",
    "plt.plot(x_path, y_path, 'ro-', markersize=3)"
   ],
   "id": "fc050f2cc4bfe5df",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x781fb8249d90>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "Remark: convergence is very slow here. A preconditioning would help.",
   "id": "d956b6f11b337ad4"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
