kron_test.ipynb

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 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\"\"\" 2x3行列Xと、4x5行列Yを作る \"\"\"\n",
    "\n",
    "I = 2\n",
    "J = 3\n",
    "K = 4\n",
    "L = 5\n",
    "X = np.random.random(size=(I,J))\n",
    "Y = np.random.random(size=(K,L))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(8, 15)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"\"\" クロネッカー積を計算 \"\"\"\n",
    "\"\"\" 8x15行列になる \"\"\"\n",
    "X_kron_Y = np.kron(X,Y)\n",
    "X_kron_Y.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0\n"
     ]
    }
   ],
   "source": [
    "\"\"\" クロネッカー積のインデキシング \"\"\"\n",
    "\"\"\" インデックスが0から始まるので式とちょっと違う \"\"\"\n",
    "i = 0\n",
    "j = 2\n",
    "k = 1\n",
    "l = 3\n",
    "print X[i,j]*Y[k,l] - X_kron_Y[i*K+k,j*L+l]"
   ]
  }
 ],
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