Vandermonde matrix.ipynb

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   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "def polynomial(m,n,t,c):\n",
    "    \n",
    "    A = np.empty((m,n))\n",
    "    for i in range(m):\n",
    "        for j in range(n):\n",
    "            A[i,j] = t[i]**(n)\n",
    "    \n",
    "    return A@c\n",
    "    \n",
    "    "
   ]
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  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
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     "data": {
      "text/plain": [
       "array([[0., 0.],\n",
       "       [0., 0.],\n",
       "       [0., 0.]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "np.empty((3,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([63, 11, 26, 45, 20, 34, 36, 48, 38, 83])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m, n = 10, 8\n",
    "t = np.random.randint(0, 100, m)\n",
    "t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([77, 81, 82, 24, 35, 64, 34,  8])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = np.random.randint(0,100,n)\n",
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.00503091e+17, 8.68153468e+10, 8.45749612e+13, 6.81012578e+15,\n",
       "       1.03680000e+13, 7.23246531e+14, 1.14254951e+15, 1.14126086e+16,\n",
       "       1.76085582e+15, 9.12178354e+17])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polynomial(m, n, t, c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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