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authormarcellus <msimon_fr@hotmail.com>2025-05-22 09:01:45 +0200
committermarcellus <msimon_fr@hotmail.com>2025-05-22 09:01:45 +0200
commit6f340e82ef3f9e150c1297ccd21df5b6cd87496c (patch)
treee4bc29de6bb213eec005cd8a1dc758463c4c1c38 /PVCM/cama/fr/ma40 Méthodes itératives.ipynb
parentcd40a307d651a5ca830d5e5493cf308af401cb00 (diff)
update: Thursday 4 May, 09:01:45 from IUseArchBTW
Diffstat (limited to 'PVCM/cama/fr/ma40 Méthodes itératives.ipynb')
-rw-r--r--PVCM/cama/fr/ma40 Méthodes itératives.ipynb50
1 files changed, 27 insertions, 23 deletions
diff --git a/PVCM/cama/fr/ma40 Méthodes itératives.ipynb b/PVCM/cama/fr/ma40 Méthodes itératives.ipynb
index ae66062..6183fc1 100644
--- a/PVCM/cama/fr/ma40 Méthodes itératives.ipynb
+++ b/PVCM/cama/fr/ma40 Méthodes itératives.ipynb
@@ -1,25 +1,4 @@
{
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3 (ipykernel)",
- "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": "3.10.12"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 4,
"cells": [
{
"cell_type": "code",
@@ -149,6 +128,10 @@
"\n",
"$${\\bf x}^t = B \\, {\\bf x}^t + {\\bf c} \\quad \\textrm{c.a.d.} \\quad (Id -B) \\, {\\bf x}^t = {\\bf c}$$\n",
"\n",
+ "**Rappel**: point fixe d'une fonction $f : \\mathbb{R}^N \\rightarrow \\mathbb{R}^N$ un point $x_f$ tel que $x_p = f(x_p)$\n",
+ "\n",
+ "Algo du pt fixe : $x_{k+1} = f(x_k)$\n",
+ "\n",
"On retrouve notre $A \\; {\\bf x} = {\\bf b}$ cela étant en pratique on ne découpe pas A en Id et B car\n",
"ca ne converge pas (sauf cas particuliers). Regardons comment fait la méthode de Jacobi."
]
@@ -413,5 +396,26 @@
"outputs": [],
"source": []
}
- ]
-} \ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "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": "3.13.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 4
+}