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ArtStudies/L3/Calculs Numériques/Point_Fixe.ipynb
Arthur DANJOU f94ff07cab Refactor code for improved readability and consistency across notebooks
- Standardized spacing around operators and function arguments in TP7_Kmeans.ipynb and neural_network.ipynb.
- Enhanced the formatting of model building and training code in neural_network.ipynb for better clarity.
- Updated the pyproject.toml to remove a specific TensorFlow version and added linting configuration for Ruff.
- Improved comments and organization in the code to facilitate easier understanding and maintenance.
2025-07-01 20:46:08 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"FEUILLE DE TP 11\n",
"\n",
"# Introduction aux schémas numériques pour f(x) = 0"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'\n",
"\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice 1 : Méthode d'itération (ou de point fixe)\n",
"\n",
"Dans cette exercice, on va utiliser les fonctions et les données initiales $x_0$ correspondantes \n",
"\n",
"> * a) $\\quad f(x) = e^{x} - 1 - x \\quad \\text{sur} \\quad [-1, 1], \\quad x_0 = -0.5$ \n",
"> * b) $\\quad f(x) = x - \\sin(x) \\quad \\text{sur} \\quad [-\\frac{\\pi}{2}, \\frac{5\\pi}{2}], \\quad x_0 = 1$ \n",
"> * c) $\\quad f(x) = x + \\sin(x) \\quad \\text{sur} \\quad [-\\frac{\\pi}{2}, \\frac{5\\pi}{2}], \\quad x_0 = 1$ \n",
"> * d) $\\quad f(x) = x + \\cos(x) -1 \\quad \\text{sur} \\quad [-\\frac{\\pi}{2}, \\frac{5\\pi}{2}], \\quad x_0 = 1$ \n",
"> * e) $\\quad f(x) = x - \\cos(x) +1 \\quad \\text{sur} \\quad [-\\frac{\\pi}{2}, \\frac{5\\pi}{2}], \\quad x_0 = 1$ \n",
"\n",
"**Remarque**: \n",
">* Dans a) on cherche la racine $x^\\star=0$ de $e^{x} - 1 - 2 x = 0$.\n",
">* Dans les cas tests b), c), d), e), on cherche la racine simple $x^\\star = 0$ de $\\sin(x) = 0$. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question 1**\n",
"\n",
"> 1. Implémentez les différentes fonctions demandées dans cet exercice.\n",
"> 2. Tracez dans des sous-figures séparées le graphe de chaque fonction et ajoutez la droite d'équation $y=x$.\n",
"> 3. Déterminez visuellement les points fixes de chaque fonction dans l'intervalle considéré.\n",
"> 4. Ajoutez un point (`scatter`) pour chaque point fixe."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"f1 = lambda x: np.exp(x) - 1 - x\n",
"f2 = lambda x: x - np.sin(x)\n",
"f3 = lambda x: x + np.sin(x)\n",
"f4 = lambda x: x + np.cos(x) - 1\n",
"f5 = lambda x: x - np.cos(x) + 1"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"tags": []
},
"outputs": [
{
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"text/plain": [
"<Figure size 1200x1200 with 5 Axes>"
]
},
"metadata": {
"image/png": {
"height": 641,
"width": 1002
}
},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12, 12))\n",
"\n",
"x = np.linspace(-1, 1, 200)\n",
"ax = fig.add_subplot(3, 3, 1)\n",
"ax.plot(x, f1(x), label=\"Courbe f\")\n",
"ax.plot(x, x, label=\"$y=x$\")\n",
"ax.scatter([i for i in x if f1(i) == i], [f1(i) for i in x if f1(i) == i])\n",
"ax.legend()\n",
"\n",
"x = np.linspace(-np.pi / 2, 5 * np.pi / 2)\n",
"for fk, f in enumerate([f2, f3, f4, f5]):\n",
" ax = fig.add_subplot(3, 3, fk + 2)\n",
" ax.plot(x, f(x), label=\"Courbe f\")\n",
" ax.plot(x, x, label=\"$y=x$\")\n",
" ax.scatter([i for i in x if f(i) == i], [f(i) for i in x if f(i) == i])\n",
" ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question 2**\n",
"\n",
"> Implémentez la méthode du point fixe à travers une fonction `x, niter, xL = point_fixe(f, x0, tol, itermax)`. Les valeurs par défaut de `tol` et de `itermax` seront respectivement `1.e-6` et `5000`."
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def point_fixe(f, x0, tol=1.0e-6, itermax=5000):\n",
" \"\"\"\n",
" Recherche de point fixe : méthode brute x_{n+1} = f(x_n)\n",
"\n",
" Parameters\n",
" ----------\n",
"\n",
" f: function\n",
" la fonction dont on cherche le point fixe\n",
" x0: float\n",
" initialisation de la suite\n",
" tol: float (default 1.e-6)\n",
" critère d'arrêt : |x_{n+1} - x_n| < tol\n",
" itermax: int\n",
" le nombre maximal d'itérations autorisées\n",
"\n",
" Returns\n",
" -------\n",
"\n",
" x: float\n",
" la valeur trouvée pour le point fixe\n",
" niter: int\n",
" le nombre d'itérations effectuées\n",
" xL: ndarray\n",
" la suite des itérés de la suite\n",
" \"\"\"\n",
" xL = [x0]\n",
" niter = 0\n",
" rk = tol + 1\n",
" while rk > tol and niter < itermax:\n",
" xL.append(f(xL[-1]))\n",
" rk = np.abs(f(xL[-1]) - xL[-1])\n",
" niter += 1\n",
" return xL[-1], niter, np.array(xL)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Question**\n",
"\n",
"> Pour chacun des cas tests ci-dessus faire\n",
"> * Tracez dans un même graphique la courbe de la fonction $f$ et celle de la droite $x \\mapsto x$. \n",
"> * Générez la suite des itérés $x_n$ de la méthode d'itération du point fixe. \n",
"> * Représentez sur le même graphique la solution numérique $x^\\star$ obtenue en dessinant un point à la position $(x^\\star, f(x^\\star))$ \n",
"> * Ajoutez en titre le nombre d'itérations effectuées pour atteindre le critère d'arrêt.\n",
"> * Représentez la ligne brisée joignant les points\n",
"$(x_0,x_0)$, $(x_0,x_1)$, $(x_1, x_1)$, $(x_1, x_2)$, $\\ldots$, $(x_n,x_n)$.\n",
"> * Que remarquez-vous ?\n",
"\n",
"**Question**\n",
"\n",
"> Pour chacun des cas tests ci-dessus, faites une figure illustrant l'ordre de convergence de la suite vers le point fixe (attention, le point fixe obtenu n'est pas toujours le même). \n",
"> - Vous pourrez tracer par exemple le nuage de points $(e_n, e_{n+1})$ où $e_n$ est l'erreur $|x_n-\\ell|$ à l'étape $n$ avec $\\ell$ la valeur limite du point fixe.\n",
"> - Pour visualiser l'ordre, vous pourrez ajouter aux graphiques des droites de pente $1$, $2$ ou $3$.\n",
">\n",
"> Pouvez-vous expliquer les différents comportements ?"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, \"Nombre d'itérations : 4\")"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 527,
"width": 537
}
},
"output_type": "display_data"
}
],
"source": [
"# F1\n",
"\n",
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"\n",
"x, niter, xL = point_fixe(f1, -0.5)\n",
"xx = np.linspace(-1, 1, 200)\n",
"\n",
"ax.plot(xx, f1(xx), label=\"Courbe f1\")\n",
"ax.plot(xx, xx, label=\"$y=x$\")\n",
"ax.scatter(x, f1(x), label=\"Point Fixe\")\n",
"ax.legend()\n",
"ax.set_title(f\"Nombre d'itérations : {niter}\")"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(0.0, 4, array([1.00000000e+00, 1.58529015e-01, 6.63176756e-04, 4.86112320e-11,\n",
" 0.00000000e+00]))\n"
]
}
],
"source": [
"# F2\n",
"print(point_fixe(f2, 1))"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(3.141592653589793, 5, array([1. , 1.84147098, 2.80506171, 3.13527633, 3.14159261,\n",
" 3.14159265]))\n"
]
}
],
"source": [
"# F3\n",
"print(point_fixe(f3, 1))"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(0.0014127204454923437, 1407, array([1. , 0.54030231, 0.39785552, ..., 0.00141472, 0.00141372,\n",
" 0.00141272]))\n"
]
}
],
"source": [
"# F4\n",
"print(point_fixe(f4, 1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exercice 2 (facultatif): convergence de la méthode \n",
"\n",
">* Pour chacun des cas tests ci-dessus faire\n",
" * si la méthode converge, \n",
" * calculer la vitesse de convergence de la suite *(on pourra utiliser la fonction ``traquer_ordre`` du TP10)*\n",
" * calculer la constante asymptotique de convergence de la méthode \n",
" * estimer le nombre d'itérations nécessaires pour gagner un chiffre exacte et vérifier que c'est le cas effectivement.\n",
" * calculer eventuellement $f^{'}(x^*), f^{''}(x^*), f^{'''}(x^*) $ où $x^*$ est le point fixe de $f$ vers lequel la méthode semble converger et justifier le comportement de la suite générée à la lueur de ces valeurs."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
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