From 6f340e82ef3f9e150c1297ccd21df5b6cd87496c Mon Sep 17 00:00:00 2001 From: marcellus Date: Thu, 22 May 2025 09:01:45 +0200 Subject: update: Thursday 4 May, 09:01:45 from IUseArchBTW --- .../ma40 M\303\251thodes it\303\251ratives.ipynb" | 50 ++++++++++++---------- 1 file changed, 27 insertions(+), 23 deletions(-) (limited to 'PVCM/cama/fr/ma40 Méthodes itératives.ipynb') diff --git "a/PVCM/cama/fr/ma40 M\303\251thodes it\303\251ratives.ipynb" "b/PVCM/cama/fr/ma40 M\303\251thodes it\303\251ratives.ipynb" index ae66062..6183fc1 100644 --- "a/PVCM/cama/fr/ma40 M\303\251thodes it\303\251ratives.ipynb" +++ "b/PVCM/cama/fr/ma40 M\303\251thodes it\303\251ratives.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 +} -- cgit v1.2.3