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Update gauss-jordan elimination script #196

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Jan 17, 2023
Merged

Update gauss-jordan elimination script #196

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88 changes: 43 additions & 45 deletions static/gaussian-elimination/gauss_jordan_elimination.ipynb
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Original file line number Diff line number Diff line change
@@ -1,49 +1,47 @@
{
"nbformat": 4,
"nbformat_minor": 2,
"metadata": {},
"cells": [
"nbformat": 4,
"nbformat_minor": 2,
"metadata": {},
"cells": [
{
"metadata": {},
"source": [
"def gauss_jordan_elimination(a):\n",
" # 前進消去\n",
" for i in range(len(a)):\n",
" # 部分ピボット選択\n",
" for j in range(i + 1, len(a)):\n",
" if abs(a[i][i]) < abs(a[j][i]):\n",
" a[i], a[j] = a[j], a[i]\n",
" # pivot倍で行を割る\n",
" pivot = a[i][i]\n",
" for j in range(i, len(a[i])):\n",
" a[i][j] /= pivot\n",
" # 掃き出す\n",
" for j in range(len(a)):\n",
" if j != i:\n",
" factor = a[j][i]\n",
" for k in range(i, len(a[i])):\n",
" a[j][k] -= factor * a[i][k]\n",
" x = []\n",
" for i in range(len(a)):\n",
" x.append(a[i][len(a[i]) - 1])\n",
" return x\n",
"\n",
"\n",
"print(gauss_jordan_elimination([[0, -2, 3, 2], [-1, 3, -2, 1], [1, -1, 6, 11]]))"
],
"cell_type": "code",
"outputs": [
{
"metadata": {},
"source": [
"def gauss_jordan_elimination(a):\n",
" # \u524d\u9032\u6d88\u53bb\n",
" for i in range(len(a)):\n",
" # \u90e8\u5206\u30d4\u30dc\u30c3\u30c8\u9078\u629e\n",
" for j in range(i + 1, len(a)):\n",
" if abs(a[i][i]) < abs(a[j][i]):\n",
" tmp = a[i]\n",
" a[i] = a[j]\n",
" a[j] = tmp\n",
" # pivot\u500d\u3067\u884c\u3092\u5272\u308b\n",
" pivot = a[i][i]\n",
" for j in range(i, len(a[i])):\n",
" a[i][j] /= pivot\n",
" # \u6383\u304d\u51fa\u3059\n",
" for j in range(len(a)):\n",
" if j != i:\n",
" factor = a[j][i]\n",
" for k in range(i, len(a[i])):\n",
" a[j][k] -= factor * a[i][k]\n",
" x = []\n",
" for i in range(len(a)):\n",
" x.append(a[i][len(a[i]) - 1])\n",
" return x\n",
"\n",
"\n",
"print(gauss_jordan_elimination([[0, -2, 3, 2], [-1, 3, -2, 1], [1, -1, 6, 11]]))"
],
"cell_type": "code",
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"[1.0, 2.0, 2.0]\n"
]
}
],
"execution_count": null
"output_type": "stream",
"name": "stdout",
"text": [
"[1.0, 2.0, 2.0]\n"
]
}
]
],
"execution_count": null
}
]
}