02_notebook.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "%config InlineBackend.figure_format='retina'\n",
    "%matplotlib inline\n",
    "\n",
    "matplotlib.rc('figure', figsize=(12,9))\n",
    "matplotlib.rc('axes', edgecolor='k')\n",
    "matplotlib.rc('grid', color='k', linewidth=0.5, linestyle=':')\n",
    "\n",
    "matplotlib.rc('image', aspect='auto', interpolation='nearest', cmap='inferno')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.linalg as la"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "A = np.random.standard_normal((N, N))\n",
    "A2 = np.dot(A, A.T)\n",
    "\n",
    "_, evecs = la.eigh(A2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "i = np.arange(N)\n",
    "evals1 = np.exp(-0.5 * (i / 500.0)**2)\n",
    "evals2 = np.exp(-0.5 * (i / 50.0)**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "M1 = np.dot(evecs, (evals1[:, np.newaxis] * evecs.T))\n",
    "M2 = np.dot(evecs, (evals2[:, np.newaxis] * evecs.T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "evalsp1 = la.eigvalsh(M1)[::-1]\n",
    "evalsp2 = la.eigvalsh(M2)[::-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, '$\\\\lambda$')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 533,
       "width": 745
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(evalsp1, label=\"Calculated\")\n",
    "plt.plot(evals1, label=\"Exact\")\n",
    "plt.legend()\n",
    "plt.semilogy()\n",
    "plt.xlabel(\"Eigenmode\")\n",
    "plt.ylabel(r\"$\\lambda$\")\n",
    "\n",
    "#plt.ylim(1e-16, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x648 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 533,
       "width": 732
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(evals2, color=\"C0\", label=\"Exact\")\n",
    "plt.plot(evalsp2, color=\"C1\", label=\"Calculated\")\n",
    "plt.plot(-evalsp2, color=\"C1\", ls=\"--\")\n",
    "plt.axhline(1e-16, color=\"k\", ls=\":\")\n",
    "plt.legend()\n",
    "plt.semilogy()\n",
    "plt.xlabel(\"Eigenmode\")\n",
    "plt.ylabel(r\"$\\lambda$\")\n",
    "\n",
    "\n",
    "plt.semilogy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 7.77666333e-01, -7.07138602e-03, -1.17773677e-03, ...,\n",
       "         2.14607682e-04,  1.60206550e-02,  5.14689576e-03],\n",
       "       [ 0.00000000e+00,  7.77832220e-01, -1.39694691e-02, ...,\n",
       "        -9.63111351e-03, -4.80847848e-03, -2.98576554e-03],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  7.59585600e-01, ...,\n",
       "         3.33390081e-05,  7.85562343e-03, -1.06781650e-02],\n",
       "       ...,\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "         6.35962288e-01, -2.68375151e-02,  2.96801987e-02],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "         0.00000000e+00,  6.54167991e-01, -6.98198963e-03],\n",
       "       [ 0.00000000e+00,  0.00000000e+00,  0.00000000e+00, ...,\n",
       "         0.00000000e+00,  0.00000000e+00,  6.09150568e-01]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "la.cholesky(M1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "ename": "LinAlgError",
     "evalue": "412-th leading minor of the array is not positive definite",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mLinAlgError\u001b[0m                               Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-33-7f373e4a399f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mla\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcholesky\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mM2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;32m/usr/local/lib/python3.9/site-packages/scipy/linalg/decomp_cholesky.py\u001b[0m in \u001b[0;36mcholesky\u001b[0;34m(a, lower, overwrite_a, check_finite)\u001b[0m\n\u001b[1;32m     86\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     87\u001b[0m     \"\"\"\n\u001b[0;32m---> 88\u001b[0;31m     c, lower = _cholesky(a, lower=lower, overwrite_a=overwrite_a, clean=True,\n\u001b[0m\u001b[1;32m     89\u001b[0m                          check_finite=check_finite)\n\u001b[1;32m     90\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0mc\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/usr/local/lib/python3.9/site-packages/scipy/linalg/decomp_cholesky.py\u001b[0m in \u001b[0;36m_cholesky\u001b[0;34m(a, lower, overwrite_a, clean, check_finite)\u001b[0m\n\u001b[1;32m     35\u001b[0m     \u001b[0mc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpotrf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0ma1\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mlower\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mlower\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0moverwrite_a\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0moverwrite_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mclean\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mclean\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     36\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m>\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 37\u001b[0;31m         raise LinAlgError(\"%d-th leading minor of the array is not positive \"\n\u001b[0m\u001b[1;32m     38\u001b[0m                           \"definite\" % info)\n\u001b[1;32m     39\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0minfo\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mLinAlgError\u001b[0m: 412-th leading minor of the array is not positive definite"
     ]
    }
   ],
   "source": [
    "la.cholesky(M2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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