{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "85047bf6",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3fada080",
   "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": "1daf347a",
   "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://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Penzl%27s_FOM)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "66c52262",
   "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, id='STATE')\n"
     ]
    }
   ],
   "source": [
    "from pymor.models.examples import penzl_example\n",
    "\n",
    "fom = penzl_example()\n",
    "print(fom)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d2f16ae",
   "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": "39bf7d7a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3375dc37d2fc4ad08118ca386bdf1240",
       "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": "664d1f9e",
   "metadata": {},
   "source": [
    "We then use those to perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9c30e919",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b492d89b55954931b71a671880fa0608",
       "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": "3b81c568",
   "metadata": {},
   "source": [
    "To compare, we first draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d753f3d7",
   "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": [
    "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": "35f057f2",
   "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": "6a87f5ce",
   "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": "89a1f792",
   "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": "19740bd8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -9.324900122511512\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": "d88a6b8e",
   "metadata": {},
   "source": [
    "We see that they are all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "029d3780",
   "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": "7d08a150",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2a62aa5cc39e43e1b9fcfd5bf95ed5d2",
       "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": "916829cc",
   "metadata": {},
   "source": [
    "Then, in the same way, compute the Petrov-Galerkin projection..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bb93bc58",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b93583be05754cf4983d9e2f5d43dd7d",
       "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": "4e1700aa",
   "metadata": {},
   "source": [
    "...and draw the Bode plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2c3cf82f",
   "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": "b4ccdb6e",
   "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": "24f687e3",
   "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": "2b47cd3a",
   "metadata": {},
   "source": [
    "Checking stability using the poles of the ROMs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f1943c6e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0000026360387688\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": "be8e5939",
   "metadata": {},
   "source": [
    "The ROMs are again all asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d013439b",
   "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": "5d7452d0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6bd6ecd240054edab4c36b8ef7bb8235",
       "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": "d41cea64",
   "metadata": {},
   "source": [
    "We perform a Petrov-Galerkin projection."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b3b33f71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "70f603f7e6ce4353b6a287388afb0712",
       "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": "9d759247",
   "metadata": {},
   "source": [
    "Then draw the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8e66bdf0",
   "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": "b8e3ea1a",
   "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": "7be55e09",
   "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": "278c0e33",
   "metadata": {},
   "source": [
    "The poles of the ROMs are as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "28902788",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: 633.2912934294063\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_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": "0605cf78",
   "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": "2983fa07",
   "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": "987bce37",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3ac76feeb4f847819189a8a71c13582b",
       "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": "530f5939",
   "metadata": {},
   "source": [
    "We can compare the Bode plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "557e7403",
   "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": "819ab4b4",
   "metadata": {},
   "source": [
    "The error plot shows interpolation more clearly."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "9e3cf487",
   "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": "28e28bd7",
   "metadata": {},
   "source": [
    "We can check stability of the system."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4954bfa4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum real part: -1.0071270631815548\n"
     ]
    },
    {
     "data": {
      "image/png": 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yuTxYJVEds/Z7s2n2+qD5a7S+/DV7jdaXv0bV2N/xIqU0qBtebwMRB1IJL9sAr1I5EvMfEdEJfCulNLqu/y+Bn6aUzouIbwB7ppSm1SxvBV4Djk8p/aiPbV4MzKxvnzt3Lq2trYNUmSRJaqTu7m46OzsBxqWUuvrqtyWOzPwemAqMA/4WuCEi3tXgbc4Crqp5PBZY3NHRQVtb26BuqFwuM3/+fNrb2ymVSoM69nDQ7PVB89dofflr9hqtL3+NqrGrq8/8so6Gh5niupbHi4cPRMRhwFnALcCoiNg+pfRKzSoTgKXFv5cCb6sbckLNsr62uQpYVX0cEQCUSqWG/SI1cuzhoNnrg+av0fry1+w1Wl/+BrvG/o41FO8zM4LK9SwPAGXg2OqCiNgXmEzltBTF9wMjYpea9duBLuDRLTJbSZI0rDX0yExEzAJ+BDxD5VRPJ3A0MC2ltDwi5gBXRcRLVALKV4EFxZ1MAHdSCS3fjohzgYnApcDs4uiLJEnayjX6NNMuwI3AJGA58BCVIDO/WP5poAf4PpWjNfOAM6orp5TWRMT7qdy9tIDKhb83AF9o8LwlSVImGv0+Mx/byPKVwCeLr776PA0cP8hTkyRJTcLPZpIkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZa2hYSYiPhcRv4qIP0fEcxFxW0TsW9dnm4iYHREvRsSrEfH9iJhQ12dyRNweEd3FOFdExMhGzl2SJOWh0Udm3gXMBg4H2oEScGdEbFvT52rgA8D0ov+uwK3VhRHRAtwOjAKOBGYApwCXNHjukiQpAw09upFSOq72cUScAjwHHALcHRHjgI8BnSmlnxR9TgUWRsThKaV7gQ5gP+A9KaVlwIMRcRHw5Yi4OKW0upE1SJKk4W1Ln6oZV3x/qfh+CJWjNT+udkgpPRYRzwBHAPcW3x8ugkzVPOBrwP7Ab+o3EhGjgdE1TWMByuUy5XJ5cCopVMcb7HGHi2avD5q/RuvLX7PXaH35a1SN/R0vUkqDuuE+NxQxAvh3YPuU0juKtk7gWyml0XV9fwn8NKV0XkR8A9gzpTStZnkr8BpwfErpR71s62JgZn373LlzaW1tHcSqJElSo3R3d9PZ2QkwLqXU1Ve/LXlkZjZwAPCOLbCtWcBVNY/HAos7Ojpoa2sb1A2Vy2Xmz59Pe3s7pVJpUMceDpq9Pmj+Gq0vf81eo/Xlr1E1dnX1mV/WsUXCTERcC7wfOCqltLhm0VJgVERsn1J6paZ9QrGs2udtdUNOqFm2npTSKmBVzfYBKJVKDftFauTYw0Gz1wfNX6P15a/Za7S+/A12jf0dq9G3ZkcRZP4aeHdK6cm6Lg8AZeDYmnX2BSYDC4qmBcCBEbFLzXrtQBfwaKPmLkmS8tDoIzOzgU7gQ8CfI2Ji0b48pbQipbQ8IuYAV0XES1QCyleBBcWdTAB3Ugkt346Ic4GJwKXA7OIIjCRJ2oo1OsycXnz/WV37qcD1xb8/DfQA36dyB9I84Ixqx5TSmoh4P5W7lxZQufD3BuALjZq0JEnKR6PfZyb60Wcl8Mniq68+TwPHD+LUJElSk/CzmSRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSstbQMBMRR0XEDyPiTxGRIuKEuuUREZdExJKIWBERP46Ifer67BgRN0VEV0S8EhFzImK7Rs5bkiTlo9FHZrYFfgt8so/l5wKfAk4D3g68BsyLiG1q+twE7A+0A+8HjgK+0agJS5Kk9S1ZvoJ7nniBJctXDPVU1jOykYOnlH4E/AggItZZFpWGfwYuTSn9oGj7B2AZcALwnYh4M3AccFhK6f6izz8B/xERn00p/amR85ckSXDLr57hc7c+TE+CEQGzTjyQkw6bPNTTWmsor5nZC5gI/LjakFJaDtwHHFE0HQG8Ug0yhR8DPVSO5EiSpAZasnzF2iAD0JPgglsfGVZHaBp6ZGYjJhbfl9W1L6tZNhF4rnZhSun1iHipps96ImI0MLqmaSxAuVymXC5vzpzXUx1vsMcdLpq9Pmj+Gq0vf81eo/UNb48v7VobZKrWpMQTy7oY31qJEY2qsb/jRUpp470GQUQk4K9TSrcVj48E/hPYNaW0pKbf/wOklNJJEXEBMCOltG/dWM8BM1NKX+tjWxcDM+vb586dS2tr6yBVJElS83tlFVz86xYSf7lcJEhc/NY1bD96AysOgu7ubjo7OwHGpZS6+uo3lEdmlhbfJwBLatonAA/W9NmldqWIGAnsWLN+b2YBV9U8Hgss7ujooK2tbTOmvL5yucz8+fNpb2+nVCoN6tjDQbPXB81fo/Xlr9lrtL7hrzR5MRf+4NG118xc+qH9mX7I7muXN6rGrq4+88s6hjLMPEklkBxLEV4ioo3KtTDVIy4LgO0j4pCU0gNF27upXOtzX18Dp5RWAauqj6sXH5dKpYb9IjVy7OGg2euD5q/R+vLX7DVa3/DVefheHPPmiTz1QjdTxrcyadyYXvsNdo39HauhYaZ4P5i9a5r2ioipwEsppWci4hrgwoj4I5Vw89+BPwG3AaSUFkbEHcA3I+I0oARcC3zHO5kkSdpyJo0b02eIGWqNPjJzKPDTmsfVUz83AKcAl1N5L5pvANsDvwCOSymtrFnnZCoB5i4qdzF9n8p700iSJDX8fWZ+BsQGlifgC8VXX31eAjoHfXKSJKkp+NlMkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsZRNmIuKTEfFURKyMiPsi4m1DPSdJkjT0Rg71BPojIk4CrgJOA+4D/hmYFxH7ppSeG6p5LVm+gseXdvHKqqGagSRtfZYsX8GTL7zGXuO3ZdK4MUM9naa0sZ9xdfm2o1p49uUVrHl9zZC+FmYRZoCzgW+mlL4FEBGnAe8DPgp8aSgmdMuvnuFztz5MT4KghdLkxXQevtdQTEWSthq1z70jAmadeCAnHTZ5qKfVVDb2M65dvq6hey0c9mEmIkYBhwCzqm0ppZ6I+DFwRB/rjAZG1zSNBSiXy5TL5c2e05LlK9fZkYngwh88yjv2Hs+kcdts9vjDSfXnNRg/t+Gq2Wu0vvw1e439ra/+ubcnwedufZgj9tphWD/35rT/NvYzrl++ruDztw3ua2F/f2aRUq8zGjYiYlfgv4AjU0oLatovB96VUnp7L+tcDMysb587dy6tra2bPac/Lg+ufbRlvfYz91vDPuOG989TknLlc2/jbexn3Nfy3voOhu7ubjo7OwHGpZS6+uo37I/MbKJZVK6xqRoLLO7o6KCtrW2zB1+yfCXXLbx7nWQ6IuDDxx8zrP862BTlcpn58+fT3t5OqVQa6uk0RLPXaH35a/Ya+1tfrs+9Oe2/jf2Me1teKxjc/dHV1Wd+WUcOYeYFYA0woa59ArC0txVSSquAtZciRQQApVJpUH6RJo8vMevEA7ng1kdYkxJB4tIP7c/k8WM3e+zharB+dsNZs9dofflr9ho3Vl/9c29LBF888YBsnntz2H8b+xnXL19X4rITBve1sL8/r2EfZlJKqyPiAeBY4DaAiBhRPL52qOZ10mGTOeqvduaJZV088eC9TD9k96GaiiRtNarPvU+90M2U8a3ezdQAG/sZ1y5vHTWCxS+v4PU1a3jlj78estfCYR9mClcBN0TE/cAvqdyavS3wraGc1KRxYxjfOpIXFw7lLCRp6zJp3BhDTINt7Gdcu/ygPXagXC7zH89sqdmtL4swk1K6JSJ2Bi4BJgIPAsellJYN6cQkSdKQyyLMAKSUrmUITytJkqThKZuPM5AkSeqNYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWsNCzMR8fmIuCciuiPilT76TI6I24s+z0XEFRExsq7P0RHx64hYFRGPR8QpjZqzJEnKTyOPzIwCvgt8rbeFEdEC3F70OxKYAZwCXFLTZ6+iz0+BqcA1wP+KiGmNm7YkScrJyI132TQppZkAGziS0gHsB7wnpbQMeDAiLgK+HBEXp5RWA6cBT6aUPlOsszAi3gF8GpjXqLlLkqR1LVm+gidfeI29xm/LpHFjhno662hYmOmHI4CHiyBTNY/KkZz9gd8UfX5ct948Kkdo+hQRo4HRNU1jAcrlMuVyefNmXac63mCPO1w0e33Q/DVaX/6avUbrG/6++8BiLvzBo/QkGBFw6Yf2Y/ohu69d3qga+ztepJQGdcPrbaByZOaalNL2de3fAPZMKU2raWsFXgOOTyn9KCL+AHwrpTSrps/xVE49taaUVvSxzYuBmfXtc+fOpbW1dbNrkiRpa/HKKrj41y0kYm1bkLj4rWvYfvQGVhwE3d3ddHZ2AoxLKXX11W9AR2Yi4kvAeRvp9uaU0mMDGbcBZgFX1TweCyzu6Oigra1tUDdULpeZP38+7e3tlEqlQR17OGj2+qD5a7S+/DV7jdY3vN276CXSr+9fpy0RvHHq4bx9rx2BxtXY1dVnflnHQE8zXQlcv5E+i/o51lLgbXVtE2qWVb9P6KVPV19HZQBSSquAVdXHEZU0WSqVGvaL1Mixh4Nmrw+av0bry1+z12h9w9PeE9sYEdBTcyKnJYI3Tmhbr57BrrG/Yw3obqaU0vMppcc28rW6n8MtAA6MiF1q2tqBLuDRmj7H1q3XXrRLkqQGmzRuDLNOPJCW4sBASwRfPPGAYXURcMMuAI6IycCOwGSgJSKmFoseTym9CtxJJbR8OyLOBSYClwKziyMrAF8HzoyIy4F/A94NfBh4X6PmLUmS1nXSYZM56q925qkXupkyvnVYBRlo7N1Ml1B575iq3xTfjwF+llJaExHvp3L30gIqF/7eAHyhukJK6cmIeB9wNXAWsBj4x5SSt2VLkrQFTRo3ZtiFmKpGvs/MKVTeBG9DfZ4Gjt9In58BBw/WvCRJUnPxs5kkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVlrWJiJiCkRMScinoyIFRHxRET8S0SMquv3loj4eUSsjIhnI+LcXsaaHhGPFX0ejojjGzVvSZKUl0YemXlTMf4ngP2BTwOnAV+sdoiINuBO4GngEOAc4OKI+HhNnyOBm4E5wMHAbcBtEXFAA+cuSZIyMbJRA6eU7gDuqGlaFBH7AqcDny3aTgZGAR9NKa0GfhcRU4GzgW8Ufc4C7kgpXVE8vigi2oEzqYQjSZK0FWtYmOnDOOClmsdHAHcXQaZqHnBeROyQUnq56HNV3TjzgBP62khEjAZG1zSNBSiXy5TL5U2ffS+q4w32uMNFs9cHzV+j9eWv2Wu0vvw1qsb+jhcppUHdcJ8bitgbeAD4bErpm0XbncCTKaVP1PTbD/gdsF9KaWFErAZmpJRurulzBjAzpTShj21dDMysb587dy6tra2DWJUkSWqU7u5uOjs7AcallLr66jfgIzMR8SXgvI10e3NK6bGadXajcsrpu9Ug02CzWPdozlhgcUdHB21tbYO6oXK5zPz582lvb6dUKg3q2MNBs9cHzV+j9eWv2Wu0vvw1qsaurj7zyzo25TTTlcD1G+mzqPqPiNgV+ClwD/Dxun5LgfqjKxNqlm2oz1L6kFJaBayqmQMApVKpYb9IjRx7OGj2+qD5a7S+/DV7jdaXv8Gusb9jDTjMpJSeB57vT9/iiMxPqZxeOjWl1FPXZQFwWUSUUkrVE2PtwO+L62WqfY4FrqlZr71olyRJW7lGvs/MbsDPgGeo3L20c0RMjIiJNd3mAquBORGxf0ScROXupdpTRF8BjouIz0TEm4rrYQ4Frm3U3CVJUj4aeTdTO7B38bW4blkApJSWR0QHMJvK0ZsXgEtSStXbskkp3RMRncClVN6j5o/ACSmlRxo4d0mSlIlGvs/M9Wz82hpSSg8B79xIn+8C3x2UiUmSpKbiZzNJkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrLW0DATEf8eEc9ExMqIWBIR346IXev6vCUifl70eTYizu1lnOkR8VjR5+GIOL6R85YkSflo9JGZnwIfBvYF/gZ4I/C96sKIaAPuBJ4GDgHOAS6OiI/X9DkSuBmYAxwM3AbcFhEHNHjukiQpAyMbOXhK6eqah09HxJeoBJFSSqkMnAyMAj6aUloN/C4ipgJnA98o1jsLuCOldEXx+KKIaAfOBE5r5PwlSdLw19AwUysidqQSXu4pggzAEcDdRZCpmgecFxE7pJReLvpcVTfcPOCEDWxrNDC6pmksQLlcplwu977SJqqON9jjDhfNXh80f43Wl79mr9H68teoGvs7XqSUBnXD620g4stUjqK0AvcC708pvVgsuxN4MqX0iZr++wG/A/ZLKS2MiNXAjJTSzTV9zgBmppQm9LHNi4GZ9e1z586ltbV10GqTJEmN093dTWdnJ8C4lFJXX/0GfGSmOFV03ka6vTml9Fjx7yuoXO+yJ5WAcWNEvD81NkXNYt2jOWOBxR0dHbS1tQ3qhsrlMvPnz6e9vZ1SqTSoYw8HzV4fNH+N1pe/Zq/R+vLXqBq7uvrML+vYlNNMVwLXb6TPouo/UkovAC8Af4iIhcCzwOHAAmApUH90pfp4ac333vospQ8ppVXAqurjiACgVCo17BepkWMPB81eHzR/jdaXv2av0fryN9g19nesAYeZlNLzwPMDXa9QvXuqej3LAuCymguCAdqB3xfXy1T7HAtcUzNOe9EuSZK2cg27NTsi3h4RZ0bE1IjYMyLeTeUW6yf4SxCZC6wG5kTE/hFxEpW7l2pPEX0FOC4iPhMRbyquhzkUuLZRc5ckSflo5PvMdAMnAncBv6dy3cxDwLuK00CklJYDHcBewANUTmFdklKq3pZNSukeoBP4OPBb4G+BE1JKjzRw7pIkKRMNuzU7pfQw8O5+9HsIeOdG+nwX+O4gTU2SJDURP5tJkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpQ1w4wkScqaYUaSJGXNMCNJkrJmmJEkSVkzzEiSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrBlmJElS1gwzkiQpa4YZSZKUNcOMJEnKmmFGkiRlzTAjSZKyZpiRJElZM8xIkqSsGWYkSVLWDDOSJClrhhlJkpS1LRJmImJ0RDwYESkiptYte0tE/DwiVkbEsxFxbi/rT4+Ix4o+D0fE8Vti3pIkafjbUkdmLgf+VN8YEW3AncDTwCHAOcDFEfHxmj5HAjcDc4CDgduA2yLigMZPW5Ik1VuyfAX3PPECS5avGOqpADCy0RuIiPcCHcDfAO+tW3wyMAr4aEppNfC74sjN2cA3ij5nAXeklK4oHl8UEe3AmcBpDZ6+JEmqccuvnuFztz5MT4IRAbNOPJATp04a0jk1NMxExATgm8AJQHcvXY4A7i6CTNU84LyI2CGl9HLR56q69eYVY/a13dHA6JqmsQDlcplyuTzAKjasOt5gjztcNHt90Pw1Wl/+mr1G68vHkuUr1wYZgJ4En7v1YQ7bYztg8Gvs73iRUhrUDa8dOCKA/wD+M6V0aURMAZ4EDk4pPVj0uRN4MqX0iZr19gN+B+yXUloYEauBGSmlm2v6nAHMTClN6GPbFwMz69vnzp1La2vrIFUoSdLW5Y/Lg2sfbVmv/cz91rDPuMHPE93d3XR2dgKMSyl19dVvwEdmIuJLwHkb6fZmKqeWxgKzBrqNQTCLdY/mjAUWd3R00NbWNqgbKpfLzJ8/n/b2dkql0qCOPRw0e33Q/DVaX/6avUbry8eS5Su5buHda4/MQOVU04kd7+Dh+34+6DV2dfWZX9axKaeZrgSu30ifRcC7qZwiWlU5SLPW/RFxU0ppBrAUqD+6Un28tOZ7b32W0oeU0ipgVfVxdfulUqlhv0iNHHs4aPb6oPlrtL78NXuN1jf8TR5fYtaJB3LBrY+wJiVaIvjiiQewx05jeZjBr7G/Yw04zKSUngee31i/iPgUcGFN065UrnU5CbivaFsAXBYRpZRS9cRYO/D74nqZap9jgWtqxmov2iVJ0hZ00mGTOeqvduapF7qZMr6VSePGDPn1QA27ADil9Ezt44h4tfjnEymlxcW/51K5tmVORHwZOIDK3Uufrln1K8D/HxGfAW4HPgIcCnwcSZK0xU0aN4ZJ48YM9TTWGtJ3AE4pLadybc1ewANUTmFdklL6Rk2fe4BOKuHlt8DfAieklB7Z8jOWJEnDTcPfZ6YqpfQUEL20PwS8cyPrfhf4bmNmJkmScuZnM0mSpKwZZiRJUtYMM5IkKWuGGUmSlDXDjCRJypphRpIkZc0wI0mSsmaYkSRJWTPMSJKkrG2xdwAeDvr7UeIDUS6X6e7upqurK/tPQ+1Ns9cHzV+j9eWv2Wu0vvw1qsb+vm5HSmnQNjpcRcRuwOKNdpQkScPR7iml/+pr4dYSZgLYFfhzA4YfSyUo7d6g8Ydas9cHzV+j9eWv2Wu0vvw1ssaxwJ/SBgLLVnGaqfgB9JnoNkclJwHw55TS4J/HGmLNXh80f43Wl79mr9H68tfgGjc6nhcAS5KkrBlmJElS1gwzm28V8C/F92bU7PVB89dofflr9hqtL39DWuNWcQGwJElqXh6ZkSRJWTPMSJKkrBlmJElS1gwzkiQpa4aZAYiIv4qIH0TECxHRFRG/iIhj6vpMjojbI6I7Ip6LiCsiYmRdn6Mj4tcRsSoiHo+IU7ZoIb0o5pT6+Dqspt9bIuLnEbEyIp6NiHN7GWt6RDxW9Hk4Io7fstX0LSLeFxH3RcSKiHg5Im6rW57l/quKiKd62X/n1/XJeh8CRMToiHiwqG9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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": "b57d212a",
   "metadata": {},
   "source": [
    "In this case, the ROM is asymptotically stable."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2cecd710",
   "metadata": {},
   "source": [
    "Download the code:\n",
    "{download}`tutorial_interpolation.md`,\n",
    "{nb-download}`tutorial_interpolation.ipynb`."
   ]
  }
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