{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d60ba3a1",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f49a278b",
   "metadata": {
    "load": "myst_code_init.py",
    "tags": [
     "remove-cell"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading pyMOR defaults from file /builds/pymor/pymor/docs/source/pymor_defaults.py\n"
     ]
    }
   ],
   "source": [
    "import warnings\n",
    "\n",
    "import matplotlib as mpl\n",
    "from IPython import get_ipython\n",
    "\n",
    "import pymor.tools.random\n",
    "\n",
    "ip = get_ipython()\n",
    "if ip is not None:\n",
    "    ip.run_line_magic('matplotlib', 'inline')\n",
    "\n",
    "warnings.filterwarnings('ignore', category=UserWarning, module='torch')\n",
    "\n",
    "pymor.tools.random._default_random_state = None\n",
    "\n",
    "mpl.rcParams['figure.facecolor'] = (1.0, 1.0, 1.0, 0.0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c654214",
   "metadata": {},
   "source": [
    "# Tutorial: Interpolatory model order reduction for LTI systems\n",
    "\n",
    "Here we discuss interpolatory model order reduction methods\n",
    "(also known as:\n",
    "moment matching,\n",
    "Krylov subspace methods, and\n",
    "Padé approximation)\n",
    "for LTI systems.\n",
    "In {doc}`tutorial_lti_systems`, we discussed transfer functions of LTI systems,\n",
    "which give a frequency-domain description of the input-output mapping and\n",
    "are involved in system norms.\n",
    "Therefore, a reasonable approach to approximating a given LTI system is to build\n",
    "a reduced-order model such that its transfer function interpolates the\n",
    "full-order transfer function.\n",
    "\n",
    "We start with simpler approaches\n",
    "(higher-order interpolation at single point {cite}`G97`) and\n",
    "then move on to bitangential Hermite interpolation\n",
    "which is directly supported in pyMOR.\n",
    "\n",
    "We demonstrate them on\n",
    "[Penzl's FOM example](https://modelreduction.org/index.php/Penzl%27s_FOM)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b3d5624b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "LTIModel\n",
      "    class: LTIModel\n",
      "    number of equations: 1006\n",
      "    number of inputs:    1\n",
      "    number of outputs:   1\n",
      "    continuous-time\n",
      "    linear time-invariant\n",
      "    solution_space:  NumpyVectorSpace(1006)\n"
     ]
    }
   ],
   "source": [
    "from pymor.models.examples import penzl_example\n",
    "\n",
    "fom = penzl_example()\n",
    "print(fom)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e96e47f7",
   "metadata": {},
   "source": [
    "## Interpolation at infinity\n",
    "\n",
    "Given an LTI system\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  \\dot{x}(t) & = A x(t) + B u(t), \\\\\n",
    "  y(t) & = C x(t) + D u(t),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "the most straightforward interpolatory method is using Krylov subspaces\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    B & A B & \\cdots & A^{r - 1} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    C^T & A^T C^T & \\cdots & {\\left(A^T\\right)}^{r - 1} C^T\n",
    "  \\end{bmatrix}\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "to perform a (Petrov-)Galerkin projection.\n",
    "This will achieve interpolation of the first $2 r$ moments at infinity\n",
    "of the transfer function.\n",
    "The moments at infinity, also called *Markov parameters*,\n",
    "are the coefficients in the Laurent series expansion:\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C \\frac{1}{s} {\\left(I - \\frac{1}{s} A \\right)}^{-1} B + D \\\\\n",
    "  & = C \\frac{1}{s}\n",
    "    \\sum_{k = 0}^{\\infty} {\\left(\\frac{1}{s} A \\right)}^{k}\n",
    "    B + D \\\\\n",
    "  & = D + \\sum_{k = 0}^{\\infty} C A^k B \\frac{1}{s^{k + 1}} \\\\\n",
    "  & = D + \\sum_{k = 1}^{\\infty} C A^{k - 1} B \\frac{1}{s^{k}}.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at infinity are thus\n",
    "\n",
    "```{math}\n",
    "M_0(\\infty) = D, \\quad\n",
    "M_k(\\infty) = C A^{k - 1} B,  \\text{ for } k \\geqslant 1.\n",
    "```\n",
    "\n",
    "A reduced-order model\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  \\dot{\\widehat{x}}(t) & = \\widehat{A} \\widehat{x}(t) + \\widehat{B} u(t), \\\\\n",
    "  \\widehat{y}(t) & = \\widehat{C} \\widehat{x}(t) + \\widehat{D} u(t),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "where\n",
    "\n",
    "```{math}\n",
    "\\widehat{A} = {\\left(W^T V\\right)}^{-1} W^T A V, \\quad\n",
    "\\widehat{B} = {\\left(W^T V\\right)}^{-1} W^T B, \\quad\n",
    "\\widehat{C} = C V, \\quad\n",
    "\\widehat{D} = D,\n",
    "```\n",
    "\n",
    "with $V$ and $W$ as above, satisfies\n",
    "\n",
    "```{math}\n",
    "C A^{k - 1} B\n",
    "=\n",
    "\\widehat{C} \\widehat{A}^{k - 1} \\widehat{B}, \\quad\n",
    "k = 1, \\ldots, 2 r.\n",
    "```\n",
    "\n",
    "We can compute {math}`V` and {math}`W` using the\n",
    "`arnoldi` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ff1df97d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "acce7fc1ed5241838549dc48c3caea08",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.algorithms.krylov import arnoldi\n",
    "\n",
    "r_max = 5\n",
    "V = arnoldi(fom.A, fom.E, fom.B.as_range_array(), r_max)\n",
    "W = arnoldi(fom.A.H, fom.E.H, fom.C.as_source_array(), r_max)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90f5bd00",
   "metadata": {},
   "source": [
    "We then use those to perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2f85547e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "56f518fcbef24048b89439e618a502a9",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.reductors.basic import LTIPGReductor\n",
    "\n",
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_inf = [pg.reduce(i + 1) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49ebb7e3",
   "metadata": {},
   "source": [
    "To compare, we first draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1605b6da",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.grid'] = True\n",
    "\n",
    "w = (1e-1, 1e4)\n",
    "bode_plot_opts = dict(sharex=True, squeeze=False, figsize=(6, 8), constrained_layout=True)\n",
    "\n",
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_inf:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ec85e95",
   "metadata": {},
   "source": [
    "As expected, we see good approximation for higher frequencies.\n",
    "Drawing the magnitude of the error makes it clearer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ac4b640f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_inf:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f06e107",
   "metadata": {},
   "source": [
    "To check the stability of the ROMs, we can plot their poles and compute the maximum real part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3edd505d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -9.32490012251105\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "markers = '.x+12'\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_inf, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "568b1b90",
   "metadata": {},
   "source": [
    "We see that they are all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff5afabb",
   "metadata": {},
   "source": [
    "## Interpolation at zero\n",
    "\n",
    "The next option is using inverse Krylov subspaces\n",
    "(more commonly called the Padé approximation).\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    A^{-1} B & A^{-2} B & \\cdots & A^{-r} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    A^{-T} C^T\n",
    "    & {\\left(A^{-T}\\right)}^{2} C^T\n",
    "    & \\cdots\n",
    "    & {\\left(A^{-T}\\right)}^{r} C^T\n",
    "  \\end{bmatrix}\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "This will achieve interpolation of the first $2 r$ moments at zero of the\n",
    "transfer function.\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C {\\left(A \\left(s A^{-1} - I\\right)\\right)}^{-1} B + D \\\\\n",
    "  & = C {\\left(s A^{-1} - I\\right)}^{-1} A^{-1} B + D \\\\\n",
    "  & = -C {\\left(I - s A^{-1}\\right)}^{-1} A^{-1} B + D \\\\\n",
    "  & = -C\n",
    "    \\sum_{k = 0}^{\\infty} {\\left(s A^{-1} \\right)}^{k}\n",
    "    A^{-1} B + D \\\\\n",
    "  & = D - \\sum_{k = 0}^{\\infty} C A^{-(k + 1)} B s^k.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at zero are\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  M_0(0)\n",
    "  & = D - C A^{-1} B\n",
    "  = H(0), \\\\\n",
    "  M_k(0)\n",
    "  & = -C A^{-(k + 1)} B\n",
    "  = \\frac{1}{k!} H^{(k)}(0),\n",
    "  \\text{ for } k \\ge 1.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "We can again use the `arnoldi` function\n",
    "to compute {math}`V` and {math}`W`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "12358798",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "13d11ded372644c38d49957a4af98aea",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.operators.constructions import InverseOperator\n",
    "\n",
    "r_max = 5\n",
    "v0 = fom.A.apply_inverse(fom.B.as_range_array())\n",
    "V = arnoldi(InverseOperator(fom.A), InverseOperator(fom.E), v0, r_max)\n",
    "w0 = fom.A.apply_inverse_adjoint(fom.C.as_source_array())\n",
    "W = arnoldi(InverseOperator(fom.A.H), InverseOperator(fom.E.H), w0, r_max)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9b75d73",
   "metadata": {},
   "source": [
    "Then, in the same way, compute the Petrov-Galerkin projection..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c97e5d71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "23dbcd3afdd0437c84802521b6d18924",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_zero = [pg.reduce(i + 1) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9163b6da",
   "metadata": {},
   "source": [
    "...and draw the Bode plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b5c71052",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_zero:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "72cfa441",
   "metadata": {},
   "source": [
    "Now, because of interpolation at zero, we get good approximation for lower\n",
    "frequencies.\n",
    "The error plot shows this better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bcd1b44e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_zero:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e3817d3",
   "metadata": {},
   "source": [
    "Checking stability using the poles of the ROMs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "c07dcb73",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0000026360387755\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_zero, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2165194",
   "metadata": {},
   "source": [
    "The ROMs are again all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09070c0c",
   "metadata": {},
   "source": [
    "## Interpolation at an arbitrary finite point\n",
    "\n",
    "A more general approach is using rational Krylov subspaces\n",
    "(also known as the shifted Padé approximation).\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  V\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    (\\sigma I - A)^{-1} B\n",
    "    & (\\sigma I - A)^{-2} B\n",
    "    & \\cdots\n",
    "    & (\\sigma I - A)^{-r} B\n",
    "  \\end{bmatrix}, \\\\\n",
    "  W\n",
    "  & =\n",
    "  \\begin{bmatrix}\n",
    "    (\\sigma I - A)^{-H} C^T\n",
    "    & {\\left((\\sigma I - A)^{-H}\\right)}^{2} C^T\n",
    "    & \\cdots\n",
    "    & {\\left((\\sigma I - A)^{-H}\\right)}^{r} C^T\n",
    "  \\end{bmatrix},\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "for some $\\sigma \\in \\mathbb{C}$ that is not an eigenvalue of $A$.\n",
    "\n",
    "This will achieve interpolation of the first $2 r$ moments at {math}`\\sigma` of\n",
    "the transfer function.\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(s)\n",
    "  & = C {(s I - A)}^{-1} B + D \\\\\n",
    "  & = C {((s - \\sigma) I + \\sigma I - A)}^{-1} B + D \\\\\n",
    "  & = C\n",
    "    {\\left((\\sigma I - A)\n",
    "      \\left((s - \\sigma) (\\sigma I - A)^{-1} + I\\right)\\right)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    {\\left((s - \\sigma) (\\sigma I - A)^{-1} + I\\right)}^{-1}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    {\\left(I - (s - \\sigma) (A - \\sigma I)^{-1}\\right)}^{-1}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = C\n",
    "    \\sum_{k = 0}^{\\infty} {\\left((s - \\sigma) (A - \\sigma I)^{-1} \\right)}^{k}\n",
    "    {(\\sigma I - A)}^{-1}\n",
    "    B + D \\\\\n",
    "  & = D - \\sum_{k = 0}^{\\infty} C (A - \\sigma I)^{-(k + 1)} B (s - \\sigma)^{k}.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "The moments at {math}`\\sigma` are\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  M_0(\\sigma)\n",
    "  & = C {(\\sigma I - A)}^{-1} B + D\n",
    "  = H(\\sigma), \\\\\n",
    "  M_k(\\sigma)\n",
    "  & = -C {(A - \\sigma I)}^{-(k + 1)} B\n",
    "  = \\frac{1}{k!} H^{(k)}(\\sigma),\n",
    "  \\text{ for } k \\ge 1.\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "To preserve realness in the ROMs,\n",
    "we interpolate at a conjugate pair of points ($\\pm 200 i$)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "53b75e03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1c78f9e3a3cc438e8d6c1299a66b42cc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymor.algorithms.gram_schmidt import gram_schmidt\n",
    "\n",
    "s = 200j\n",
    "r_max = 5\n",
    "v0 = (s * fom.E - fom.A).apply_inverse(fom.B.as_range_array())\n",
    "V_complex = arnoldi(InverseOperator(s * fom.E - fom.A), InverseOperator(fom.E), v0, r_max)\n",
    "V = fom.A.source.empty(reserve=2 * r_max)\n",
    "for v1, v2 in zip(V_complex.real, V_complex.imag):\n",
    "    V.append(v1)\n",
    "    V.append(v2)\n",
    "_ = gram_schmidt(V, atol=0, rtol=0, copy=False)\n",
    "w0 = (s * fom.E - fom.A).apply_inverse_adjoint(fom.C.as_source_array())\n",
    "W_complex = arnoldi(InverseOperator(s * fom.E.H - fom.A.H), InverseOperator(fom.E), w0, r_max)\n",
    "W = fom.A.source.empty(reserve=2 * r_max)\n",
    "for w1, w2 in zip(W_complex.real, W_complex.imag):\n",
    "    W.append(w1)\n",
    "    W.append(w2)\n",
    "_ = gram_schmidt(W, atol=0, rtol=0, copy=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd7749b0",
   "metadata": {},
   "source": [
    "We perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "a449a32d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f9fbdd7012ed42a78842813820b0706c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pg = LTIPGReductor(fom, W, V)\n",
    "roms_sigma = [pg.reduce(2 * (i + 1)) for i in range(r_max)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6608b3f9",
   "metadata": {},
   "source": [
    "Then draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "745afb08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "for rom in roms_sigma:\n",
    "    rom.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax[0, 0].legend()\n",
    "_ = ax[1, 0].legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8d8d297",
   "metadata": {},
   "source": [
    "The ROMs are now more accurate around the interpolated frequency, which the error plot also shows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "043cb411",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for rom in roms_sigma:\n",
    "    err = fom - rom\n",
    "    err.transfer_function.mag_plot(w, ax=ax, label=f'Error $r = {rom.order}$')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "838ff92a",
   "metadata": {},
   "source": [
    "The poles of the ROMs are as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b12cd460",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: 960.083630078713\n"
     ]
    },
    {
     "data": {
      "image/png": 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qxeHDh8nJyaFFixbl02+77TZmzJjBzp07Afjggw9YsWIF77zzTq19ycjIoFWrVqxcuZIuXbpU22bixImMGTOm1vUkJydXmbZixQo++eQTNmzYUOuyTY2CjoiIeMOAad+HnMjoRhvJGThwIIsWLeL48ePMmzcPn8/HTTfdVKFN5RGbuiQmJjJy5EiWLl2Kc46RI0fSvn37OpfLzMzkhhtuqDHkALRr14527dqdVH92797NlClTWLt2bYVAdibQoSsREfGGd+d+H3JOFNV8gnIDa9WqFd27d6dv374sXryYjz76iOeeew6A7t27Y2ZkZWVVu2xWVhZt27YlMTGxyry0tDSWLl3K888/T1paWr36kpGRwTXXXFNrm1M5dLVp0yb279/PxRdfjM/nw+fz8e677/LHP/4Rn8/HiRMn6tW/cNCIjoiInPkqn5NTdh8a9RydiIgIHnzwQe69917Gjh1LQkICQ4YMYeHChdxzzz0VztPZt28fL7zwAj//+c8xsyrrGj58OEVFRZgZw4YNq3Pbubm57Nixo84Tlk/l0NWgQYP4/PPPK0ybMGEC5513Hg888ACRkaE94ft0KOiIiMiZrboTj4PP2Qm+3whGjx7N/fffz4IFC7jvvvuYP38+V1xxBcOGDePRRx+la9eubNmyhfvvv5+zzz6b2bNnV7ueyMjI8pGg+gSJzMxMIiMjueCCC2ptdyqHrlq3bk2fPn0qTGvVqhUJCQlVpjc1OnQlIiJnttIT1Z94XHY1VmnjHlbx+XxMnjyZuXPncvz4cXr06MHGjRvp1q0bY8aM4ZxzzuHOO+9k4MCBrF+/vtbQER8fT3x8fL22m5mZSc+ePc+4c2hCTSM6IiJyZhs4o+Z5IR7JWbp0abXTp0+fzvTp08vvd+7cuca2wZYsWUJERM1jEC+//HKN8yZPnszkyZPr3EZDqesKsKZCIzoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIip2j8+PGYGWZGVFQUXbt2Zdq0aRQUFFRot3v3btLS0khOTiY6OprOnTszZcoUDh48WKHdhAkTMDMmTpxYZVvp6emYGePHjw9lSbXas2cPt912GwkJCcTGxnLBBRewcePGsPWnPhR0RETEM3LycliYsZCcvJxG2+bw4cPZu3cv2dnZzJs3j2eeeYaHHnqofH52djaXXnop27ZtY/ny5Wzfvp2nn36aN998k/79+3Po0KEK60tJSWHFihXk5+eXTysoKGDZsmWkpqaedP9KSkpOvbgghw8f5sc//jFRUVH87//+L1u3buUPf/gDbdu2bZD1h4qCjoiIeEZOfg6LMheRk994QScmJoakpCRSUlIYNWoUgwcPZu3ateXz09PTiY6OZs2aNQwYMIDU1FRGjBjBG2+8wZ49e5g5c2aF9V188cWkpKSwatWq8mmrVq0iNTWVfv361dqXHTt2YGa89NJLXHXVVcTExPDKK680SJ2PP/44KSkpLFmyhMsvv5yuXbsydOhQzjnnnAZZf6go6IiIiDSQzZs3s27dOqKjowE4dOgQq1evZtKkScTGxlZom5SUxLhx43jxxRdxzlWYl5aWxpIlS8rvL168mAkTJtS5/czMTACeeOIJZs2axZYtWxg0aFCFNnPmzCEuLq7W265du6qs+5VXXuHSSy9l9OjRdOjQgX79+vHss8/W74EJI1+4OyAiInI6cvJyykdwsg5mVfgLkBibSGLLxJBt/9VXXyUuLo6SkhIKCwuJiIhg/vz5AGzbtg3nHL169ap22V69enH48GFycnJo0aJF+fTbbruNGTNmsHPnTgA++OADVqxYwTvvvFNrXzIyMmjVqhUrV66kS5cu1baZOHEiY8aMqXU9ycnJVaZlZ2ezaNEi7r33Xh588EE2bNjAr371K6Kjo7njjjtqXV84KeiIiMgZbeWXK1mUuajCtIfXP1z+77v63sWkiyaFbPsDBw5k0aJFHD9+nHnz5uHz+bjpppsqtKk8YlOXxMRERo4cydKlS3HOMXLkSNq3b1/ncpmZmdxwww01hhyAdu3a0a5du5PqD0BpaSmXXnopc+bMAaBfv35s3ryZp59+WkFHREQkVEafO5prUq4B/CM5D69/mIf7P0yvBP8oSmJs6EZzAFq1akX37t0B/yGmvn378txzz/GLX/yC7t27Y2ZkZWVx4403Vlk2KyuLtm3bkpiYyNGjRyvMS0tLY/LkyQAsWLCgXn3JyMhg+vTptbaZM2dOeVipydatW6uc+NypUyd69+5dYVqvXr34y1/+Uq++hYuCjoiInNESW1Y9NNUroRe9E3rXsEToRERE8OCDD3LvvfcyduxYEhISGDJkCAsXLuSee+6pcJ7Ovn37eOGFF/j5z3+OmVVZ1/DhwykqKsLMGDZsWJ3bzs3NZceOHXWesHyqh65+/OMf889//rPCtC+//JLOnTvX2bdw0snIIiIiDWj06NFERkaWj8LMnz+fwsJChg0bxnvvvcfu3bt5/fXXGTJkCGeffTazZ8+udj2RkZFkZWWxdetWIiMj69xuZmYmkZGRXHDBBbW2a9euHd27d6/15vNVHQe55557+PDDD5kzZw7bt29n2bJl/PnPfyY9Pb0ej0r4KOiIiIhnJMYmclffu0J+uKo2Pp+PyZMnM3fuXI4fP06PHj3YuHEj3bp1Y8yYMZxzzjnceeedDBw4kPXr19d6vkx8fDzx8fH12m5mZiY9e/ascFJzQ7rsssv461//yvLly+nTpw+PPPIITz31FOPGjQvJ9hqKDl2JiIhnJLZMDOmJx5UtXbq02unTp0+vcK5M586da2wbbMmSJURE1DwG8fLLL9c4b/LkyeXn9ITK9ddfz/XXXx/SbTQ0jeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZynoiIiInKLx48djZpgZUVFRdO3alWnTplFQUFCh3e7du0lLSyM5OZno6Gg6d+7MlClTOHjwYIV2EyZMwMyYOHFilW2lp6djZowfPz6UJdXoxIkT/Pa3v6Vr167ExsZyzjnn8Mgjj+CcC0t/6ktBR0RE5DQMHz6cvXv3kp2dzbx583jmmWd46KGHyudnZ2dz6aWXsm3bNpYvX8727dt5+umnefPNN+nfvz+HDh2qsL6UlBRWrFhBfn5++bSCggKWLVtGamrqSfevpKTk1IsL8vjjj7No0SLmz59PVlYWjz/+OHPnzuVPf/pTg6w/VBR0RETkjOdKS6uMLDjncKWlId92TEwMSUlJpKSkMGrUKAYPHszatWvL56enpxMdHc2aNWsYMGAAqampjBgxgjfeeIM9e/Ywc+bMCuu7+OKLSUlJYdWqVeXTVq1aRWpqKv369au1Lzt27MDMeOmll7jqqquIiYnhlVdeaZA6161bx09/+lNGjhxJly5duPnmmxk6dCgff/xxg6w/VBR0RETkjHdg/gL2TJlKSeBQUMnBg+yZMpUDCxY2aj82b97MunXriI6OBuDQoUOsXr2aSZMmERsbW6FtUlIS48aN48UXX6wS0tLS0liyZEn5/cWLFzNhwoQ6t5+ZmQnAE088waxZs9iyZQuDBg2q0GbOnDnExcXVetu1a1eVdV9xxRW8+eabfPnll+Xb+sc//sGIESPq8ciEjy/cHRARETldMef24PDy5WSPvJ6WP/oReR9+CGbEXxf6D+FXX32VuLg4SkpKKCwsJCIigvnz5wOwbds2nHP06tWr2mV79erF4cOHycnJoUWLFuXTb7vtNmbMmMHOnTsB+OCDD1ixYgXvvPNOrX3JyMigVatWrFy5ki5dulTbZuLEiYwZM6bW9SQnJ1eZNn36dHJzcznvvPOIjIzkxIkTzJ49m3HjxtW6rnBT0BERkTNe/PDhtLzsMr6efDdHX3+d2H79+MH8P+FLSAj5tgcOHMiiRYs4fvw48+bNw+fzcdNNN1Voc7In7CYmJjJy5EiWLl2Kc46RI0fSvn37OpfLzMzkhhtuqDHkALRr14527dqdVH8AXnrpJV544QWWLVvG+eefT0ZGBlOnTiU5OZk77rjjpNfXWHToSkREPMGXkEDH3/jPd+n4m5mNEnIAWrVqRffu3enbty+LFy/mo48+4rnnngOge/fumBlZWVnVLpuVlUXbtm1JTEysMi8tLY2lS5fy/PPPk5aWVq++ZGRkcM0119Ta5lQPXd1///1Mnz6dW2+9lQsuuIDbb7+de+65h8cee6xefQsXjeiIiIg0kIiICB588EHuvfdexo4dS0JCAkOGDGHhwoXcc889Fc7T2bdvHy+88AI///nPMbMq6xo+fDhFRUWYGcOGDatz27m5uezYsaPOE5ZP9dBVXl4eEREVx0ciIyMpbYQTvk+HRnREREQa0OjRo4mMjGTBggUAzJ8/n8LCQoYNG8Z7773H7t27ef311xkyZAhnn302s2fPrnY9kZGRZGVlsXXrViIjI+vcbmZmJpGRkVxwwQW1tmvXrh3du3ev9ebzVR0H+clPfsLs2bN57bXX2LFjB3/961958sknufHGG+vxqISPgo6IiHiGLzGR9unp+Ko5FNRoffD5mDx5MnPnzuX48eP06NGDjRs30q1bN8aMGcM555zDnXfeycCBA1m/fn2t58vEx8cTHx9fr+1mZmbSs2fPCic1N6Q//elP3HzzzUyaNIlevXpx33338ctf/pJHHnkkJNtrKDp0JSIinhHVoQOJd09utO0tXbq02unTp09n+vTp5fc7d+5cY9tgS5YsqXJ4KNjLL79c47zJkyczeXLoam/dujVPPfUUTz31VMi2EQoa0RERERHPUtARERERz1LQEREREc9S0BERERHPUtARERERz1LQEREREc9S0BERERHPUtARERERz1LQEREREc9S0BERERHPUtARERE5RePHj8fMMDOioqLo2rUr06ZNo6CgoEK73bt3k5aWRnJyMtHR0XTu3JkpU6Zw8ODBCu0mTJiAmTFx4sQq20pPT8fMGD9+fChLqtF7773HT37yE5KTkzGzGn+OYsGCBXTp0oUWLVrwwx/+kI8//rhxO1qJgo6IiHjG8SOFfPz3bI4fKWy0bQ4fPpy9e/eSnZ3NvHnzeOaZZ3jooYfK52dnZ3PppZeybds2li9fzvbt23n66ad588036d+/P4cOHaqwvpSUFFasWEF+fn75tIKCApYtW0ZqaupJ96+kpOTUiwty/Phx+vbtW/6r7NV58cUXuffee3nooYf45JNP6Nu3L8OGDWP//v0N0odTEdKgY2YzzGyDmR01s/1m9rKZ9azUpoWZLTCzg2Z2zMz+YmYdK7VJNbPXzCwvsJ4nzEw/SCpS5u3H4N25AOz+di8ZW/ew+9u9/nnvzvXPF2kG8o4UseG1HeQdKWq0bcbExJCUlERKSgqjRo1i8ODBrF27tnx+eno60dHRrFmzhgEDBpCamsqIESN444032LNnDzNnzqywvosvvpiUlBRWrVpVPm3VqlWkpqbSr1+/WvuyY8cOzIyXXnqJq666ipiYGF555ZUGqXPEiBE8+uij3HjjjTW2efLJJ/n3f/93JkyYQO/evXn66adp2bIlixcvbpA+nIpQj+gMABYAPwKGAFHAGjNrFdRmHvATYHSgfTJQvnfNLBJ4DYgGrgDuAMYD/xnivoucOSIicW/Nxr3zOFm79tJ+53lk7dqLe+dx3FuzISIy3D0UaRY2b97MunXriI6OBuDQoUOsXr2aSZMmERsbW6FtUlIS48aN48UXX8Q5V2FeWloaS5YsKb+/ePFiJkyYUOf2MzMzAXjiiSeYNWsWW7ZsYdCgQRXazJkzh7i4uFpvu3btOunai4qK2LRpE4MHDy6fFhERweDBg1m/fv1Jr6+hhHRUxDk3PPi+mY0H9gOXAO+Z2VnAL4Cxzrm3Am0mAFlm9iPn3IfAUKA3MNg59y2QYWa/BR43s4edc40X20WaqgHTOPDKpxQ+uoiMS7Jpwy1k/G0xfTetJuai60gcMC3cPRRpFGWBoXJwCKVXX32VuLg4SkpKKCwsJCIigvnz5wOwbds2nHP06tWr2mV79erF4cOHycnJoUWLFuXTb7vtNmbMmMHOnTsB+OCDD1ixYgXvvPNOrX3JyMigVatWrFy5ki5dulTbZuLEiYwZM6bW9SQnJ9c6vzoHDhzgxIkTdOxY4aAMHTt25Isvvjjp9TWUxj78c1bgb9kByUvwj/K8UdbAOfeFme0C+gMfBv5+Hgg5ZVYDi4DzgU8rb8TMYoCYoEmtAYqLiykuLq6xc2XzamvjJc2pXq/XmpOfw44LriT2jc8Z+H42n14IA9/PJud4HPl9rqQ49xsSYxPD3c2Q8Pq+DebFWouLi3HOUVpaSmlpafn04MASPL02eUeLeP/FLwF4/8UvGfbLPrRsHd3wnQ7inOOaa65h4cKFHD9+nKeeegqfz8eNN95YoaYTJ05UW0d1wcw5R0JCAtdddx1LlizBOcd1111Hu3btcM7V+phkZGTwk5/8hNTU1BrbtGnThjZt2tRZW12Pe+V9VvbvmvZl2bTK+7a0tBTnHMXFxURGVhx9bojneqMFHTOLAJ4CPnDObQ5MTgKKnHPfVWr+bWBeWZtvq5lPUJvKZgAPVZ64Zs0aWrZsWWdfg4+tNgfNqV6v1vpm/pu8bW+T+Is4bt3k/5/a5h5jWHHJc+TY0wz8n38yKHZQHWs5s3l131bHS7X6fD6SkpI4duwYRUVVB+iPHj1ar/Xs/OwwG17eBWakXtiGb/91jBX/8RGXjUql84VtG7rb5YqLi4mJiaFDhw4AzJs3jyuvvJIFCxZw++2307FjR8yMjIyMKoeQAD777DPatGlTPppTXFxMSUkJubm53HLLLUyb5h+NfeKJJ8jNzaWkpITi4mJyc3Or7c+nn37K1KlTa5wP8Ic//IF58+bVWtf69etJSUmptU1+fn6F7URHRxMZGcmOHTs4//zzy6d//fXXJCQkVOlT2b4tKioiPz+f9957r8qJ03l5ebX2oT4ac0RnAdAHuLIRtvUY8GTQ/dbA10OHDiU+Pr7GhYqLi1m7di1DhgwhKioq1H0Mu+ZUr9drvSz/Mq79x7+x66PDnGhZRIdvN3GgYw9GfTGL1OvbcvmVnT09ouPlfRvMi7UWFBSwe/du4uLiKhy6cc5x9OhRWrdujZnVuZ787w5yds+2XHXrubRsHe0f3VnxJQXfldb6vn+6oqKi8Pl8FbYxc+ZM7rvvPtLS0ujSpQuDBw9myZIlTJ8+vcJ5Ovv27WPlypXcfvvtxMfHc/To0Qrr+9nPfsa9996LmXHjjTcSGRmJz+cjKiqq2ppyc3PZtWsX/fv3r7XmKVOmcPvtt9daV5cuXfD5ao8IsbGxVbZzySWXsH79ev7t3/4N8I/ivP/++6Snp5e3rbxvCwoKiI2N5eqrr67wHCir6XQ1StAxs/nA9cDVzrmvg2btA6LNrE2lUZ2OgXllbS6vtMqOQfOqcM4VAuXXFpa9SKKiour15lDfdl7RnOr1aq3JUcl0yn6LFlE72Gyfc83Wz3gt9UL6uAtol92F5Ov6h7uLIefVfVsdL9V64sQJzIyIiAgiIr6/PqbsMEfZvLr88PpuWMT3gSjurBaM+OWFuFJXYXpDK/sOneA+3nLLLTzwwAMsWrSI++67jwULFnDFFVeUX7XUtWtXtmzZwv3338/ZZ5/NnDlzKoS54McjKysLoHx/V7e9Mp9//jmRkZH07du31sesffv2tG/f/qRrPXbsGNu3by+/v3PnTj777DPatWtXftn7vffeyx133MFll13G5ZdfzlNPPcXx48dJS0sr71PlfRsREVH+PUSVn9cN8TwP9eXlFgg5NwLXOue+qtRkE1AMDApapieQCpSdor0euMDMOgQtNwTIBbaGqu8iZ5R353J5zmSG/yyay0eMBuDyEaMZ/rNoLsuZXH7puYhX1RRmQhlyauLz+Zg8eTJz587l+PHj9OjRg40bN9KtWzfGjBnDOeecw5133snAgQNZv3497dq1q3Fd8fHx9R6RyszMpGfPnlVGRRrKxo0b6devX/kl7vfeey/9+vVj1qxZ5W1uueUWfv/73zNr1iwuuugiMjIyeP3116ucoNyYQj2iswAYC/wUOGpmZefUHHHO5TvnjpjZc8CTZnYIf3j5E7A+cMUVwBr8geb/mNk0/OflPAosCIzciEjpCezaB2HANLplf85bA7pxbY+e0O1mLDBfRBre0qVLq50+ffp0pk+fXn6/c+fONbYNtmTJklpHY2r6NmKAyZMnM3ny5Dq3caquueaael3NFup+nKxQB527An/fqTR9ArA08O97gFLgL/ivlFoNTCpr6Jw7YWbX47/Kaj1wHHgemIWI+A2cUf7PjinncdZ1d9Ix5Tz/BF1aLiLNWKi/R6fOMUPnXAGQHrjV1GYncF0Ddk1ERESaAf3WlYiIiHiWgo6IiIh4loKOiIiIeJaCjoiIhF1j/jaVNC2h3vcKOiIiEjZlXwjXEF/1L2emsn0fqi/BbOwf9RQRESkXGRlJmzZt2L9/PwAtW7bEzCgtLaWoqIiCgoJ6fTPyma451VtWa35+PgUFBezfv582bdpU+UHPhqKgIyIiYZWU5P8u2bKwA/7DGfn5+cTGxtbrt67OdM2p3sq1tmnTpvw5EAoKOiIiElZmRqdOnejQoQPFxcWA/wdM33vvPa6++mrP/K5XbZpTvWW1DhgwgNjY2JCN5JRR0BERkSYhMjKy/EMvMjKSkpISWrRo4fkPfmhe9ZbVGhMTE/KQAzoZWURERDxMQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHREREPEtBR0RERDxLQUdEREQ8S0FHxKNy8nNYmLGQnLyccHdFRCRsFHREPOpA/gEWZS4iJ19BR0SaLwUdERER8SxfuDsgIg0nJy+HvUf38k3JNxQeKgQg62BW+fzE2EQSWyaGq3siIo1OQUfEQ1Z+uZJFmYv8dz72/3l4/cPl8+/qexeTLprU+B0TEQkTBR0RDxl97miu7HQlH/zjAxJ6J/DIx4/wcP+H6ZXQC/CP6IiINCcKOiIektgykTZRbfjK9xVd23UFoFdCL3on9A5zz0REwkMnI4t4TN6RIo5si6boaGm4uyIiEnYa0RHxCFdaCmbk5RZxdHsMLYviuevCibSPSQh310REwkYjOiIecWD+AvZMmUrJd98B0LrAuGHJl9iSleHtmIhIGCnoiHhEzLk9yNuwgX2/vg+Afb++j7wNG4jp0T3MPRMRCR8duhLxiPjhw7FeF7HxkbcA2HbOTfzkt9fSunNSmHsmIhI+GtER8Yjtm/bz0h+3kRfXiQ77N5EX14mX/riN7Zv2h7trIiJho6Aj4hEHvznG2ee24YZb2tBn62JuuKUNZ5/bhkPfHAt310REwkaHrkQ84vKRXbEI42hmJgCxLSMY/ssLcKUuzD0TEQkfjeiIeIRFGAC+xEQODh6ELzGxwnQRkeZIQUfEY3yJiRwcMqQ86IiINGcKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4llnTNAxs3Qz22FmBWb2kZldHu4+HT9SyMd/z+b4kcJwd0VOQlPcbzl5OSzMWEhOXk6F6eV9/Z/fw7tzq1/43bnw9mON0EuRpkevkfCr6f2rqTgjgo6Z3QI8CfwHcDGQCaw2sw7h7FfekSI2vLaDvCNF4exGyLnSUpxzFac5hystDVOPTk+491t1j2dO3n6ezlhITn7FN4ryvha2gLdnV30jf3euf3pEZKi7LdIk6TUSfjn5OSzKXFTl/aupOCOCDnAv8KxzbolzbiswEcgD0sLbrebhwPwF7JkylZKDBwEoOXiQPVOmcmDBwjD37MxU3ePJb37Pzf+oJThecgcMnFnxjbzsDXzgTBgwrRF6LtKE6TUiNfCFuwN1MbNo4BKgfNzROVdqZm8A/WtYJgaICZrUGqC4uJji4uIat1U2r7Y2NbWv7zJNSX3r9XXrxqHly/nXyOtpefnl5H38MZjRaujQM6bu6vZVuPZb2eO5/brrONGvN/bpFk64E+y+1ti8fzMlJSUAtI9tD8Utvu/rFfcQceIEkW/Pxr33BHaiiBNXT6f0insgqI6TfR6f6ZpTvaq19nb1fY00RWfavs3Jz+FA/gEAvjj0BUCV96/E2MRqlz2ZWhvi8bDKQ+hNjZklA3uAK5xz64OmzwUGOOd+WM0yDwMPVZ6+bNkyWrZs2SD9OlFoHPwklqLvIoluc4KEi/OJjGnaj+XpiDx2jOT//j/E7txJfufOfPPz2zkRFxfubp20prLfIo8do+XSP9Fp9xG+OBt+f1Mkua2sQpvBNozeW4dV6ev1GWlEuhJOmI9XL1rc6H0XaSpqej3rNRJ6b+a/yduFb9c4f2DMQAbFDjrt7eTl5TF27FiAs5xzuaeyDq8GnepGdL4+cOAA8fHxNW6ruLiYtWvXMmTIEKKiompsl/1pDu+/uB0zSO7Rhm+2fYdzcNUt3enWr/oE2xTVt94yBVu38vUtt/KDF1fQonfvRuhhwykuLuZv//02x7e1bjL7bd+nH3Ds53dR/OxjfNG+iEc+foTfXv5bzmt3HjlbCsl+NY+ICKvQ16svzOLcr6bhIqO//9/qVfdVqfVk9uuZrjnVq1q/V9P7cH1eI03RmbZvK4/oBL9/Qd0jOvWtNTc3l/bt28NpBJ0mf+gKOACcADpWmt4R2FfdAs65QqD8khoz//+Uo6Ki6vUEqqvdd98W8INz23L1v/WkZXw0eblFvLf8nxz5tuCMeIJWVt/HpcTnf7r4fL4zss7iYxEk9ziLa8b2ahL7rX2rRI4BPdr1wNfB/xzt06EPvRN689HH2aT0bFHxOfanV/jus01ww0xswDR4dy6Rb88mMjKy2vMP6rtfvaI51ataa3gfPsnXSFN0puzb5KhkkuOTAf9nAnz//lVf9am1IR6LJh90nHNFZrYJGAS8DGBmEYH788PRp8tHdsUivj/M0DI+muG/vABX2rRHx5q7+O5FDBnZu/yF05T3W5Xn2KdPMbx4Nu4nQSdVlv19e3bF+yLNgF4jUl9NPugEPAk8b2YbgY+BqUArYEk4OhP84qrPdK/wJSbSPj0dX+KZc3gumNWwe8K134Ifz8RY466+d5UP9VbpU+kJGBj4X2qwsvulJxqhxyJNh14jTUdibGKF96+m5owIOs65F80sEfhPIAnIAIY7574Na8eamagOHUi8e3K4u+EZwY9nIjDpokk1Nx44o+Z5+l+qiF4jYZTYMrH2968wOyOCDoBzbj5hOlQlIiIiZ6Yz5QsDRURERE6ago6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjojH5B0p4si2aPKOFIW7KyIiYaegI+IRrrQU5xx5uUUc3R5DXm4RzjlcaWm4uyYiEjYKOiIecWD+AvZMmUrJd98BUPLdd+yZMpUDCxaGt2MiImGkoCPiETHn9iBvwwb2/fo+APb9+j7yNmwgpkf3MPdMRCR8fOHugIg0jPjhw7FeF7HxkbcA2HbOTfzkt9fSunNSmHsmIhI+GtER8Yjtm/bz0h+3kRfXiQ77N5EX14mX/riN7Zv2h7trIiJho6Aj4hEHvznG2ee24YZb2tBn62JuuKUNZ5/bhkPfHAt310REwkaHrkQ84vKRXbEI42hmJgCFkUfI/uFWLu5+c5h7JiISPhrREfEIizAAfImJHBw8iMNxxqLMRRwoPBDmnomIhI+CjojH+BITOThkCCS0DXdXRETCToeuRDwkJy+HvUf38k3JNxQeKgQg62BW+fzE2EQSWyaGq3siIo1OQUfEQ1Z+uZJFmYv8dz72/3l4/cPl8+/qexeTLprU+B0TEQkTBR0RDxl97miu7HQlH/zjAxJ6J/DIx4/wcP+H6ZXQC/CP6IiINCcKOiIektgykTZRbfjK9xVd23UFoFdCL3on9A5zz0REwkMnI4uIiIhnKeiIeFT72Pbc1fcuHa4SkWZNh65EPCoxNlEnHotIs6cRHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8ayQBB0z62Jmz5nZV2aWb2b/MrP/MLPoSu0uNLP3zazAzHab2bRq1jXazL4ItPnczK4LRZ9FzmhvPwbvzgVg97d7ydi6h93f7vXPe3euf76ISDMUqhGd8wLr/iVwPnAPMBGYU9bAzOKBNcBO4BLgfuBhM7szqM0VwHLgOaAf8DLwspn1CVG/Rc5MEZG4t2bj3nmcrF17ab/zPLJ27cW98zjurdkQERnuHoqIhIUvFCt1zr0OvB40KdvMegJ3AfcFpo0DooE051wRsMXMLgLuBf4caDMFeN0590Tg/m/NbAgwGX9wEhGAAdM48MqnFD66iIxLsmnDLWT8bTF9N60m5qLrSBxQZbBURKRZCEnQqcFZwKGg+/2B9wIhp8xq4AEza+ucOxxo82Sl9awGRtW2ITOLAWKCJrUGKC4upri4uMblyubV1sZLmlO9Xq81Jz+HHRdcSewbnzPw/Ww+vRAGvp9NzvE48vtcSXHuNyTGJoa7myHh9X0bTLV6V3Oq92RqbYjHw5xzp72SOjdi1h3YBNznnHs2MG0N8JVz7pdB7XoDW4DezrksMysC7nDOLQ9qMwl4yDnXsZbtPQw8VHn6smXLaNmyZQNVJdJ0vJn/Jm8Xvk3ikVbcuukXFMeeQ1T+v1hxyXPknHWcgTEDGRQ7KNzdFBE5KXl5eYwdOxbgLOdc7qms46RGdMzsd8ADdTTr5Zz7ImiZs/EfxlpZFnIawWNUHAlqDXw9dOhQ4uPja1youLiYtWvXMmTIEKKiokLdx7BrTvV6vdbL8i/j2n/8G7s+OsyJlkV0+HYTBzr2YNQXs0i9vi2XX9nZ0yM6Xt63wVSrdzWnek+m1tzcU8o2FZzsoas/AEvraJNd9g8zSwbeBtYBd1Zqtw+oPCrTMWhebW32UQvnXCFQGNQPAKKiour1BKpvO69oTvV6tdbkqGQ6Zb9Fi6gdbLbPuWbrZ7yWeiF93AW0y+5C8nX9w93FkPPqvq2OavWu5lRvfWptiMfipIKOcy4HyKlP28BIztv4D1lNcM6VVmqyHphtZlHOubKDcEOAfwbOzylrMwh4Kmi5IYHpIlLm3blcnjMH+9mDtCwYDa9/xuUjRnN1i2zcW5Ph3W9AJySLSDMUkpORAyHnHfyXjt8HJJaNqjjnykZjluE/j+Y5M3sc6IP/Kqt7glb1X8C7ZvZr4DXgVuBSqo4OiTRvpSewax+EAdPolv05bw3oxrU9ekK3m7HAfBGR5ihUV10NAboHbl9XmmcAzrkjZjYUWIB/1OcA8J/OubJLy3HOrTOzscCj+L+DZxswyjm3OUT9FjkzDZxR/s+OKedx1nV30jHlPP8EjeSISDMWqu/RWUrd5/LgnPsMuKqONiuBlQ3SMREREWlW9FtXIiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkKOiIiIuJZCjoiIiLiWQo6IiIi4lkhDzpmFmNmGWbmzOyiSvMuNLP3zazAzHab2bRqlh9tZl8E2nxuZteFus8iIiLiDY0xojMX+KbyRDOLB9YAO4FLgPuBh83szqA2VwDLgeeAfsDLwMtm1if03RY5M+UdKeLItmjyjhSFuysiImEX0qBjZiOAocB91cweB0QDac65Lc65FcAfgXuD2kwBXnfOPeGcy3LO/Rb4BJgcyn6LnMnycos4uj2GvFwFHRERX6hWbGYdgWeBUUBeNU36A+8554LfjVcDD5hZW+fc4UCbJysttzqwztq2HQPEBE1qDVBcXExxcXGNy5XNq62NlzSneptVrSUl5X+bRb3Nad+qVs9qTvWeTK0N8XiYc+60V1JlpWYG/A/wgXPuUTPrAnwF9HPOZQTarAG+cs79Mmi53sAWoLdzLsvMioA7nHPLg9pMAh5yznWsZfsPAw9Vnr5s2TJatmzZABWKNF1FRyLYv64VHa44TvRZpeHujojIKcvLy2Ps2LEAZznnck9lHSc1omNmvwMeqKNZL/yHq1oDj51KpxrAY1QcCWoNfD106FDi4+NrXKi4uJi1a9cyZMgQoqKiQt3HsGtO9TaXWvOPFrH6z1uAY/BNRwZefz6xraPD3a2Qai77FlSrlzWnek+m1tzcU8o2FZzsoas/AEvraJMNXIv/sFOhf3Cn3EYze8E5dwewD6g8KlN2f1/Q3+ra7KMWzrlCoLDsflkfoqKi6vUEqm87r2hO9Xq51u2b9vPusn+COWKTisnNKWDl7E8YMLYn3S/pAIBzDpzDIrz3zRJe3reVqVbvak711qfWhngsTurdzjmX45z7oo5bEfAroC9wUeBWdkn4LcDMwL/XA1ebWXAVQ4B/Bs7PKWszqFI3hgSmi0iQg98c4+xz2zD6wUtI6FfAoE6ZtM3byYF/5QBQcvAge6ZM5cCChWHuqYhI4wnJycjOuV3B983sWOCf/3LOfR349zL859E8Z2aPA33wX2V1T9Ci/wW8a2a/Bl4DbgUuBe5ERCq4fGRXLMLKT94767xu9PnLbNyn8PW6H5L34YdgRvx1I8LcUxGRxhO28Wvn3BH85/J0BTbhPyz2n865Pwe1WQeMxR9sMoGbgVHOuc2N32ORps0iKhwmJm7YULq9+ndiunbh6OuvE921K91e/Tvxw4eHqYciIo0vZJeXB3PO7QCsmumfAVfVsexKYGVoeibibb6EBDr+ZiY7brqZjr+ZiS8hIdxdEhFpVN47I1FEREQkQEFHREREPEtBR8TjfImJtE9Px5eYGO6uiIg0ukY5R0dEwieqQwcS79bPw4lI86QRHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfEsBR0RERHxLAUdERER8SwFHREREfGsZvUTELm5ubXOLy4uJi8vj9zcXKKiohqpV+HTnOpVrd7VnOpVrd7VnOo9mVrr+tyuD3POnfZKmjozOxv4Otz9EBERkVPyA+fcnlNZsLkEHQOSgaN1NG2NPxD9oB5tvaA51atavas51atavas51XuytbYGvnGnGFiaxaGrwINTZxL05yEAjjrnTn+8rIlrTvWqVu9qTvWqVu9qTvWeQq2n9XjoZGQRERHxLAUdERER8SwFnYoKgf8I/G0OmlO9qtW7mlO9qtW7mlO9jVprszgZWURERJonjeiIiIiIZynoiIiIiGcp6IiIiIhnKeiIiIiIZzXroGNmI83sIzPLN7PDZvZypfmpZvaameWZ2X4ze8LMfJXaXGNmn5hZoZltN7PxjVnDyTCzGDPLMDNnZhdVmnehmb1vZgVmttvMplWz/Ggz+yLQ5nMzu67ROl8PZtbFzJ4zs68C+/RfZvYfZhZdqd0ZX2ttzCzdzHYE+v6RmV0e7j6dDDObYWYbzOxo4HX3spn1rNSmhZktMLODZnbMzP5iZh0rtanz9dvUmNn0wOvzqaBpnqrVzM42s/8bqCc/8Pq6NGi+mdl/mtnewPw3zKxHpXW0M7MXzCzXzL4LvO7jGr+amplZpJk9Uun96LcW9G15Z3KtZna1mf3dzL4JPGdHVZrfILXV5/26Ts65ZnkDbgIOAROBc4HewJig+ZHA58Ba4CJgBJADzAlq0xU4DvwB6AVMBkqAYeGur4aa/wv4H8ABFwVNjwf2Af8XOB+4FcgD7gxqc0WgtvsDtT4CFAF9wl1XUB+HA0uAoUA34AbgW+D3Xqu1lsfgFvyXbE4IPKf/DBwGOoS7bydRw+vA+MD+6Qu8BuwEWgW1WQTsAq4FLgHWAx8Eza/z9dvUbsBlwFdAJvCUF2sF2gI7Aq/TywPvoUOBc4LaPAB8B/wUuBD4G5ANtAhq879ABvBD4EpgG7As3PVVqvVB4AAwEugC3Iz/5w5+5YVaA8+zR4Eb8X+mjKo0/7Rrox7v1/Xqa7gfrDDtIB/+39n4RR078QTQMWjaROAIEB24/ziwudJyK4DXw11jDfVk4f/wqxx07sIf+qKDpv0O+CLo/ovAq5XW+SHwdLhrq6Pu+4Hs5lBroJ8fAfOD7kfg//mT6eHu22nUlBh4zl4duH8W/uB5c1Cb8wJtfhS4X+frtyndgDjgS2Aw8A6BoOO1WgOvtfdrmW/AXuC+oGlnAQXArYH7vQL1XxrUZjhQCiSHu8agPr0KPFdp2l+A/+vBWisEnYaqrT7v1/W5NddDVxcDZwOlZvZpYGjtf82sT1Cb/sDnzrlvg6atxp8wzw9q80alda8OTG8yAsPczwK340/DlfUH3nPOFQVNWw30NLO2QW2afK3VOAv/C6WMZ2sNHKK7hKC+O+dKA/ebdN/rcFbgb9l+vASIomKdX+Af9Sirsz6v36ZkAfCac67y885rtd4AbDSzlYFDbJ+a2b8Hze8KJFGx3iP4A3xwvd855zYGLfcG/g/IH4a09ydnHTDIzM4FMLO++Ect/jcw30u1VtZQtdXn/bpOzTXodAv8fRj/0Nv1+If33zGzdoF5SfgPewT7NmhebW3izSy2ITt8qgLHg5fiH43YWEOz06k1iSbKzLoDdwPPBE32ZK0B7fEfxjgT+14tM4sAnsJ/qGZzYHISUOSc+65S8+A667OfmwQzuxX/f75mVDPbU7Xif++9C/8himH4D8v90czuCMwv629tz+EkYH/wTOdcCf4g3JTq/R3+Ef4vzKwY+BT/SN0LgfleqrWyhqqtQZ7bngo6Zva7wElRtd3O4/u6Zzvn/uKc24T/nAYHjA5bASfhJGq9G/9P3D8W5i6fspOoNXiZs/Gf67HSOfdseHouDWAB0Af/sXnPMbMU/OfOjXPOFYS7P40gAvjEOfegc+5T59yf8Y82Twxzv0JhDDAOGIs/yN4B3BcU6qSRNMmz8k/DH/CPXtQmG+gU+PfWsonOuUIzywZSA5P24T9ZLljHoHllfztW0ybXOZdf/26fkvrWei3+4b/CoJP9wT98/IJz7g5qrgPqrnUfoVffWgEws2TgbfxDx3dWatfUaz0dBwicq1Fp+pnQ9yrMbD7+0darnXNfB83aB0SbWZtKIx3Bddbn9dsUXAJ0AD4Jen1GAleb2WT8ox5eqRX8521srTQtC//FIfB9fzsG2hJ0PyOoTYfgFZj/CrN2NK16nwB+55xbEbj/uZl1xj9y9zzeqrWyhqqtPu/XdfLUiI5zLsc590UdtyJgE/4rU8ovWTWzKPxnxu8MTFoPXGBmwTtiCJDL9y/U9cCgSt0YEpgeUidR66/wX7lyUeBWdpn0LcDMoDquDjwGwXX80zl3OKhNU6+1bCTnHfz7eELgHJVgTbrW0xH03C7ve+DQzyCaeN+DBS5LnY//ao5rnXNfVWqyCSimYp098f8npazO+rx+m4I3gQv4/vV5EbAReCHo316pFeADgt53A87l+/fdr/B/gAXXG4//nI3getuY2SVB67gW/+fZRyHo86lqif98k2An+P5z10u1VtZQtdXn/bpu4T5bO1w3/Mf9v8Z/aWNP4P/Df+yvbWB+2SWbq/EHhWH4jydWd3n5XPxXQkyiCV9eHuhzF6pedXVW4En53/hPXrwlUFflS66LgV8Han2YJnbJNf4TzLfhP6HtbPzHcJOAJK/VWstjcAv+KxvuwH9VwzP4zz/rGO6+nUQNC/FfljogeB8CsUFtFuH/cByIf1RkHbAuaH6dr9+meiPoqiuv1Yr/Evpi/Jded8d/WOc4/kN3ZW0eCDxnb8AfAl+m+suSP8E/kvVj/Feshf2S60q1LsX/GVN2efmN+C/7f9wLteK/UvCiwM0B9wT+ndpQtVGP9+t69TXcD1YYd1IU8Hv84SYX/3dQnF+pTWf83zuTF3iC/h7wVWpzDf6TzAqBfwHjw11bHXV3oVLQCUy/EHgf/4fk18AD1Sw7GvhnoNbNwHXhrqdS/8YHaqty81qtdTwOk/F/MBbi/5/RD8Pdp5Psf7X7MPi1BbTAf/7OocAb3yqCAm2gTZ2v36Z4o2rQ8VSt+A9Hfh54/WUB/15pvgH/GfiAK8D/H5dzK7VpByzD/700R4DFQFy4a6vUx9b4/0O9E8gPfD48SsVLpc/YWvF/9lX3Ol3akLXV5/26rpsFViQiIiLiOZ46R0dEREQkmIKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHiWgo6IiIh4loKOiIiIeJaCjoiIiHjW/w+p+XlND1FYQgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "spectral_abscissas = []\n",
    "for rom, marker in zip(roms_sigma, markers):\n",
    "    poles = rom.poles()\n",
    "    spectral_abscissas.append(poles.real.max())\n",
    "    ax.plot(poles.real, poles.imag, marker, label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {max(spectral_abscissas)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8250ca9f",
   "metadata": {},
   "source": [
    "We observe that some of the ROMs are unstable.\n",
    "In particular, interpolation does not necessarily preserve stability,\n",
    "just as Petrov-Galerkin projection in general.\n",
    "A common approach then is using a Galerkin projection with $W = V$ if $A + A^T$\n",
    "is negative definite.\n",
    "This preserves stability, but reduces the number of interpolated moments from\n",
    "$2 r$ to $r$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a4ab44a",
   "metadata": {},
   "source": [
    "## Interpolation at multiple points\n",
    "\n",
    "To achieve good approximation over a larger frequency range,\n",
    "instead of local approximation given by higher-order interpolation at a single point,\n",
    "one idea is to do interpolation at multiple points (sometimes called *multipoint Padé*),\n",
    "whether of lower or higher-order.\n",
    "pyMOR implements bitangential Hermite interpolation (BHI) for different types of `Models`,\n",
    "i.e., methods to construct a reduced-order transfer function $\\widehat{H}$ such that\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(\\sigma_i) b_i & = \\widehat{H}(\\sigma_i) b_i, \\\\\n",
    "  c_i^H H(\\sigma_i) & = c_i^H \\widehat{H}(\\sigma_i), \\\\\n",
    "  c_i^H H'(\\sigma_i) b_i & = c_i^H \\widehat{H}'(\\sigma_i) b_i,\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "for given interpolation points $\\sigma_i$,\n",
    "right tangential directions $b_i$, and\n",
    "left tangential directions $c_i$,\n",
    "$i = 1, \\ldots, r$.\n",
    "Such interpolation is relevant for systems with multiple inputs and outputs,\n",
    "where interpolation of matrices\n",
    "\n",
    "```{math}\n",
    "\\begin{align*}\n",
    "  H(\\sigma_i) & = \\widehat{H}(\\sigma_i), \\\\\n",
    "  H'(\\sigma_i) & = \\widehat{H}'(\\sigma_i),\n",
    "\\end{align*}\n",
    "```\n",
    "\n",
    "may be too restrictive.\n",
    "Here we focus on single-input single-output systems,\n",
    "where tangential and matrix interpolation are the same.\n",
    "\n",
    "Bitangential Hermite interpolation is also relevant for $\\mathcal{H}_2$-optimal\n",
    "model order reduction and methods such as IRKA (iterative rational Krylov\n",
    "algorithm), but we don't discuss them in this tutorial.\n",
    "\n",
    "Interpolation at multiple points can be achieved by concatenating different $V$\n",
    "and $W$ matrices discussed above.\n",
    "In pyMOR, `LTIBHIReductor` can be used\n",
    "directly to perform bitangential Hermite interpolation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "99db1b1c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4536d6d79a1949ea94dcd51e67ce27c4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(HTML(value='', layout=Layout(height='16em', width='100%')),), titles=('Log Output',))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from pymor.reductors.interpolation import LTIBHIReductor\n",
    "\n",
    "bhi = LTIBHIReductor(fom)\n",
    "freq = np.array([0.5, 5, 50, 500, 5000])\n",
    "sigma = np.concatenate([1j * freq, -1j * freq])\n",
    "b = np.ones((10, 1))\n",
    "c = np.ones((10, 1))\n",
    "rom_bhi = bhi.reduce(sigma, b, c)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4aec0d17",
   "metadata": {},
   "source": [
    "We can compare the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0689e62f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, **bode_plot_opts)\n",
    "fom.transfer_function.bode_plot(w, ax=ax, label='FOM')\n",
    "rom_bhi.transfer_function.bode_plot(w, ax=ax, label=f'ROM $r = {rom_bhi.order}$')\n",
    "for a in ax.flat:\n",
    "    for f in freq:\n",
    "        a.axvline(f, color='gray', linestyle='--')\n",
    "    _ = a.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f540675",
   "metadata": {},
   "source": [
    "The error plot shows interpolation more clearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "b283e2e4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "err = fom - rom_bhi\n",
    "err.transfer_function.mag_plot(w, label=f'Error $r = {rom_bhi.order}$')\n",
    "for f in freq:\n",
    "    ax.axvline(f, color='gray', linestyle='--')\n",
    "_ = ax.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee2970b8",
   "metadata": {},
   "source": [
    "We can check stability of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "b075db09",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0071270631815459\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "poles = rom_bhi.poles()\n",
    "ax.plot(poles.real, poles.imag, '.', label=f'ROM $r = {rom.order}$')\n",
    "_ = ax.legend()\n",
    "print(f'Maximum real part: {poles.real.max()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "408edd7b",
   "metadata": {},
   "source": [
    "In this case, the ROM is asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de22657d",
   "metadata": {},
   "source": [
    "Download the code:\n",
    "{download}`tutorial_interpolation.md`,\n",
    "{nb-download}`tutorial_interpolation.ipynb`."
   ]
  }
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