{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Root-finding Without Derivatives\n",
    "================================"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- Section 1.5.1 *Secant Method and variants* in {cite}`Sauer`\n",
    "- Section 2.3 *Newton's Method and it Extensions* in {cite}`Burden-Faires`; just the later sub-sections, on *The Secant Method* and *The Method of False Position*)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "We have already seen one method for solving $f(x) = 0$ without needing to know any derivatives of $f$:\n",
    "the [Bisection Method](root-finding-by-interval-halving-python.ipynb), a.k.a. *Interval Halving*.\n",
    "However, we have also seen that that method is far slower then Newton's Method.\n",
    "\n",
    "Here we explore methods that are almost the best of both worlds:\n",
    "about as fast as Newton's method but not needing derivatives.\n",
    "\n",
    "The first of these is the Secant Method.\n",
    "Later in this course we will see how this has been merged with the Bisection Method and\n",
    "[Polynomial Interpolation](polynomial-collocation+approximation-python.ipynb)\n",
    "to produce the current state-of-the-art approach;\n",
    "only perfected in the 1960's."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We will often need resources from the modules numpy and pyplot:\n",
    "import numpy as np\n",
    "from numpy import abs, cos\n",
    "\n",
    "# Since we do a lot of graphics in this section, some more short-hands:\n",
    "from matplotlib.pyplot import figure, title, plot, xlabel, ylabel, grid, legend\n",
    "from matplotlib.pyplot import show  # This might be needed with MS WIndows\n",
    "\n",
    "# Also, some from the module for this book:\n",
    "#from numericalMethods_module import newton_method"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using Linear Approximation Without Derivatives\n",
    "\n",
    "One quirk of the [Bisection Method](root-finding-by-interval-halving-python.ipynb) is that it only uses the sign of the values $f(a)$ and $f(b)$,\n",
    "not their magnitudes.\n",
    "If one of these is far smaller than the other, one might guess that the root is closer to that end of the interval.\n",
    "This leads to the idea of:\n",
    "- starting with an interval $[a, b]$ known to contain a zero of $f$,\n",
    "- connecting the two points $(a, f(a))$ and $(b, f(b))$ with a straight line, and\n",
    "- finding the $x$-value $c$ where this line crosses the $x$-axis.\n",
    "In the words, aproximating the function by a *secant line*, in place of the *tangent line* used in Newton's Method."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(method-of-false-position)=\n",
    "### First Attempt: The Method of False Position\n",
    "\n",
    "The next step requires some care.\n",
    "The first idea (from almost a millenium ago) was to use this new approximation $c$ as done with bisection:\n",
    "check which of the intervals $[a, c]$ and $[c,b]$ has the sign change and use it as the new interval $[a, b]$;\n",
    "this is called *The Method of False Position* (or *Regula Falsi*, since the academic world used latin in those days.)\n",
    "\n",
    "The secant line between $(a, f(a))$ and $(b, f(b))$ is\n",
    "\n",
    "$$\n",
    "L(x) = \\frac{f(a)(b-x) + f(b)(x-a)}{b-a}\n",
    "$$\n",
    "\n",
    "and its zero is at\n",
    "\n",
    "$$\n",
    "c = \\frac{a f(b) - f(a) b}{f(b) - f(a)}\n",
    "$$\n",
    "\n",
    "This is easy to implement, and an example will show that it sort of works, but with a weakness that hampers it a bit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def false_position(f, a, b, errorTolerance=1e-15, maxIterations=15, demoMode=False):\n",
    "    \"\"\"Solve f(x)=0 in the interval [a, b] by the Method of False Position.\n",
    "    This code also illustrates a few ideas that I encourage, such as:\n",
    "    - Avoiding infinite loops, by using for loops sand break\n",
    "    - Avoiding repeated evaluation of the same quantity\n",
    "    - Use of descriptive variable names\n",
    "    - Use of \"camelCase\" to turn descriptive phrases into valid Python variable names\n",
    "    - An optional \"demonstration mode\" to display intermediate results.\n",
    "    \"\"\"\n",
    "    if demoMode: print(f\"Solving by the Method of False Position.\")\n",
    "    fa = f(a)\n",
    "    fb = f(b)\n",
    "    for iteration in range(maxIterations):\n",
    "        if demoMode: print(f\"\\nIteration {iteration}:\")\n",
    "        c = (a * fb - fa * b)/(fb - fa)\n",
    "        fc = f(c)\n",
    "        if fa * fc < 0:\n",
    "            b = c\n",
    "            fb = fc  # N.B. When b is updated, so must be fb = f(b)\n",
    "        else:\n",
    "            a = c\n",
    "            fa = fc\n",
    "        errorBound = b - a\n",
    "        if demoMode:\n",
    "            print(f\"The root is in interval [{a}, {b}]\")\n",
    "            print(f\"The new approximation is {c}, with error bound {errorBound:0.4}, backward error {abs(fc):0.4}\")\n",
    "        if errorBound < errorTolerance:\n",
    "            break\n",
    "    # Whether we got here due to accuracy of running out of iterations,\n",
    "    # return the information we have, including an error bound:\n",
    "    root = c  # the newest value is probably the most accurate\n",
    "    return (root, errorBound)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:remark}\n",
    ":label: remark-use-the-module\n",
    "\n",
    "For a more concise presentation, you could omit the above `def` and instead import this function with\n",
    "\n",
    "    from numericalMethods_module import false_position\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x): return x - cos(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving by the Method of False Position.\n",
      "\n",
      "Iteration 0:\n",
      "The root is in interval [0.5403023058681398, 1]\n",
      "The new approximation is 0.5403023058681398, with error bound 0.4597, backward error 0.3173\n",
      "\n",
      "Iteration 1:\n",
      "The root is in interval [0.7280103614676172, 1]\n",
      "The new approximation is 0.7280103614676172, with error bound 0.272, backward error 0.01849\n",
      "\n",
      "Iteration 2:\n",
      "The root is in interval [0.7385270062423998, 1]\n",
      "The new approximation is 0.7385270062423998, with error bound 0.2615, backward error 0.000934\n",
      "\n",
      "Iteration 3:\n",
      "The root is in interval [0.7390571666782676, 1]\n",
      "The new approximation is 0.7390571666782676, with error bound 0.2609, backward error 4.68e-05\n",
      "\n",
      "Iteration 4:\n",
      "The root is in interval [0.7390837322783136, 1]\n",
      "The new approximation is 0.7390837322783136, with error bound 0.2609, backward error 2.345e-06\n",
      "\n",
      "Iteration 5:\n",
      "The root is in interval [0.7390850630385933, 1]\n",
      "The new approximation is 0.7390850630385933, with error bound 0.2609, backward error 1.174e-07\n",
      "\n",
      "Iteration 6:\n",
      "The root is in interval [0.7390851296998365, 1]\n",
      "The new approximation is 0.7390851296998365, with error bound 0.2609, backward error 5.883e-09\n",
      "\n",
      "Iteration 7:\n",
      "The root is in interval [0.7390851330390691, 1]\n",
      "The new approximation is 0.7390851330390691, with error bound 0.2609, backward error 2.947e-10\n",
      "\n",
      "Iteration 8:\n",
      "The root is in interval [0.7390851332063397, 1]\n",
      "The new approximation is 0.7390851332063397, with error bound 0.2609, backward error 1.476e-11\n",
      "\n",
      "Iteration 9:\n",
      "The root is in interval [0.7390851332147188, 1]\n",
      "The new approximation is 0.7390851332147188, with error bound 0.2609, backward error 7.394e-13\n",
      "\n",
      "Iteration 10:\n",
      "The root is in interval [0.7390851332151385, 1]\n",
      "The new approximation is 0.7390851332151385, with error bound 0.2609, backward error 3.708e-14\n",
      "\n",
      "Iteration 11:\n",
      "The root is in interval [0.7390851332151596, 1]\n",
      "The new approximation is 0.7390851332151596, with error bound 0.2609, backward error 1.776e-15\n",
      "\n",
      "Iteration 12:\n",
      "The root is in interval [0.7390851332151606, 1]\n",
      "The new approximation is 0.7390851332151606, with error bound 0.2609, backward error 1.11e-16\n",
      "\n",
      "Iteration 13:\n",
      "The root is in interval [0.7390851332151607, 1]\n",
      "The new approximation is 0.7390851332151607, with error bound 0.2609, backward error 0.0\n",
      "\n",
      "Iteration 14:\n",
      "The root is in interval [0.7390851332151607, 1]\n",
      "The new approximation is 0.7390851332151607, with error bound 0.2609, backward error 0.0\n",
      "\n",
      "The Method of False Position gave approximate root is 0.7390851332151607,\n",
      "with estimate error 0.2609, backward error 0.0\n"
     ]
    }
   ],
   "source": [
    "(root, errorBound) = false_position(f, a=-1, b=1, demoMode=True)\n",
    "print(f\"\\nThe Method of False Position gave approximate root is {root},\")\n",
    "print(f\"with estimate error {errorBound:0.4}, backward error {abs(f(root)):0.4}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The good news is that the approximations are approaching the zero reasonably fast — far faster than bisection —\n",
    "as indicated by the backward errors improving by a factor of better than ten at each iteration.\n",
    "\n",
    "The bad news is that one end gets \"stuck\", so the interval does not shrink on both sides, and the error bound stays large.\n",
    "\n",
    "This behavior is generic: with function $f$ of the same convexity on the interval $[a, b]$, the secant line will always cross on the same side of the zero, so that one end-point persists;\n",
    "in this case, the curve is concave up, so the secant line always crosses to the left of the root, as seen in the following graphs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def graph_false_position(f, a, b, maxIterations=5):\n",
    "    \"\"\"Graph a few iterations of the Method of False Position for solving f(x)=0 in the interval [a, b].\n",
    "    \"\"\"\n",
    "    fa = f(a)\n",
    "    fb = f(b)\n",
    "    for iteration in range(maxIterations):\n",
    "        c = (a * fb - fa * b)/(fb - fa)\n",
    "        fc = f(c)\n",
    "        abc = [a,b, c]\n",
    "        left = np.min(abc)\n",
    "        right = np.max(abc)\n",
    "        x = np.linspace(left, right)\n",
    "        figure(figsize=[12,5])\n",
    "        title(f\"Iteration {iteration+1}, Method of False Position\")\n",
    "        xlabel(\"$x$\")\n",
    "        plot(x, f(x))\n",
    "        plot([left, right], [f(left), f(right)])  # the secant line\n",
    "        plot([left, right], [0, 0], 'k')  # the x-axis line\n",
    "        plot(abc, f(abc), 'r*')\n",
    "        #show() # The Windows version of JupytLab might need this command\n",
    "        if fa * fc < 0:\n",
    "            b = c\n",
    "            fb = fc  # N.B. When b is updated, so must be fb = f(b)\n",
    "        else:\n",
    "            a = c\n",
    "            fa = fc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_false_position(f, a=-1, b=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Refinement: Alway Use the Two Most Recent Approximations — The Secant Method\n",
    "\n",
    "The basic solution is to always discard the oldest approximation — at the cost of not always having the zero surrounded!\n",
    "This gives the Secant Method.\n",
    "\n",
    "For a mathemacal description, one typically enumerates the successive approximations as $x_0$, $x_1$, etc.,\n",
    "so the notation above gets translated with $a \\to x_{k-2}$, $b \\to x_{k-1}$, $c \\to x_{k}$;\n",
    "then the formula becomes the recursive rule\n",
    "\n",
    "$$\n",
    "x_k = \\frac{x_{k-2} f(x_{k-1}) - f(x_{k-2}) x_{k-1}}{f(x_{k-1}) - f(x_{k-2})}\n",
    "$$\n",
    "\n",
    "Two difference from above:\n",
    "- previously we could assume that $a<b$, but now we do not know the order of the various $x_k$ values, and\n",
    "- the root is not necessarily bewtween the two most recent values, so we no longer have tht simple error bound.\n",
    "(In fact, we will see that the zero is typically surrounded two-thirds of the time!)\n",
    "\n",
    "Instead, we use the *magnitude* of $b-a$ which is now $|x_k - x_{k-1}|$, and this is only an *estimate* of the error.\n",
    "This is the same as used for Newton's Method; as there, it is still useful as a condition for ending the iterations and indeed tends to be pessimistic, so that we typically do one more iteration than needed — but it is not on its own a complete guarantee of having achieved the desired accuracy."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true,
    "tags": []
   },
   "source": [
    "### Pseduo-code for a Secant Method Algorithm\n",
    "\n",
    "````{prf:algorithm} Secant Method\n",
    ":label: secant-method\n",
    "\n",
    "Input function $f$, interval endpoints $x_0$ and $x_1$, an error tolerance $E_{tol}$, and an iteration limit $N$\n",
    "\n",
    "for k from 2 to N\n",
    "<br>\n",
    "$\\quad$ $\\displaystyle x_k \\leftarrow \\frac{x_{k-2} f(x_{k-1}) - f(x_{k-2}) x_{k-1}}{f(x_{k-1}) - f(x_{k-2})}$\n",
    "<br>\n",
    "$\\quad$ Evaluate the error estimate $E_{est} \\leftarrow |x_k - x_{k-1}|$\n",
    "<br>\n",
    "$\\quad$ if $E_{est} \\leq E_{tol}$\n",
    "<br>\n",
    "$\\quad\\quad$ End the iterations\n",
    "<br>\n",
    "$\\quad$ else\n",
    "<br>\n",
    "$\\quad\\quad$ Go around another time\n",
    "<br>\n",
    "$\\quad$ end\n",
    "<br>\n",
    "end\n",
    "<br>\n",
    "Output the final $x_k$ as the approximate root and $E_{est}$ as an estimate of its absolute error.\n",
    "````"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Python Code for this Secant Method Algorithm\n",
    "\n",
    "We could write Python code that closely follows this notation, accumulating a list of the values $x_k$.\n",
    "\n",
    "However, since we only ever need the two most recent values to compute the new one, we can instead just store these three,\n",
    "in the same way that we recylced the variables `a`, `b` and `c`.\n",
    "Here I use more descriptive names though:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def secant_method(f, a, b, errorTolerance=1e-15, maxIterations=15, demoMode=False):\n",
    "    \"\"\"Solve f(x)=0 in the interval [a, b] by the Secant Method.\"\"\"\n",
    "    if demoMode:\n",
    "        print(f\"Solving by the Secant Method.\")        \n",
    "    # Some more descriptive names\n",
    "    x_older = a\n",
    "    x_more_recent = b\n",
    "    f_x_older = f(x_older)\n",
    "    f_x_more_recent = f(x_more_recent)\n",
    "    for iteration in range(maxIterations):\n",
    "        if demoMode: print(f\"\\nIteration {iteration}:\")\n",
    "        x_new = (x_older * f_x_more_recent - f_x_older * x_more_recent)/(f_x_more_recent - f_x_older)\n",
    "        f_x_new = f(x_new)\n",
    "        (x_older, x_more_recent) = (x_more_recent, x_new)\n",
    "        (f_x_older, f_x_more_recent) = (f_x_more_recent, f_x_new)\n",
    "        errorEstimate = abs(x_older - x_more_recent)\n",
    "        if demoMode:\n",
    "            print(f\"The latest pair of approximations are {x_older} and {x_more_recent},\")\n",
    "            print(f\"where the function's values are {f_x_older:0.4} and {f_x_more_recent:0.4} respectively.\")\n",
    "            print(f\"The new approximation is {x_new}, with estimated error {errorEstimate:0.4}, backward error {abs(f_x_new):0.4}\")\n",
    "        if errorEstimate < errorTolerance:\n",
    "            break\n",
    "    # Whether we got here due to accuracy of running out of iterations,\n",
    "    # return the information we have, including an error estimate:\n",
    "    return (x_new, errorEstimate)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Note:** As above, you could omit the above `def` and instead import this function with\n",
    "\n",
    "    from numericalMethods_module import secant_method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving by the Secant Method.\n",
      "\n",
      "Iteration 0:\n",
      "The latest pair of approximations are 1 and 0.5403023058681398,\n",
      "where the function's values are 0.4597 and -0.3173 respectively.\n",
      "The new approximation is 0.5403023058681398, with estimated error 0.4597, backward error 0.3173\n",
      "\n",
      "Iteration 1:\n",
      "The latest pair of approximations are 0.5403023058681398 and 0.7280103614676172,\n",
      "where the function's values are -0.3173 and -0.01849 respectively.\n",
      "The new approximation is 0.7280103614676172, with estimated error 0.1877, backward error 0.01849\n",
      "\n",
      "Iteration 2:\n",
      "The latest pair of approximations are 0.7280103614676172 and 0.7396270126307336,\n",
      "where the function's values are -0.01849 and 0.000907 respectively.\n",
      "The new approximation is 0.7396270126307336, with estimated error 0.01162, backward error 0.000907\n",
      "\n",
      "Iteration 3:\n",
      "The latest pair of approximations are 0.7396270126307336 and 0.7390838007832722,\n",
      "where the function's values are 0.000907 and -2.23e-06 respectively.\n",
      "The new approximation is 0.7390838007832722, with estimated error 0.0005432, backward error 2.23e-06\n",
      "\n",
      "Iteration 4:\n",
      "The latest pair of approximations are 0.7390838007832722 and 0.7390851330557805,\n",
      "where the function's values are -2.23e-06 and -2.667e-10 respectively.\n",
      "The new approximation is 0.7390851330557805, with estimated error 1.332e-06, backward error 2.667e-10\n",
      "\n",
      "Iteration 5:\n",
      "The latest pair of approximations are 0.7390851330557805 and 0.7390851332151607,\n",
      "where the function's values are -2.667e-10 and 0.0 respectively.\n",
      "The new approximation is 0.7390851332151607, with estimated error 1.594e-10, backward error 0.0\n",
      "\n",
      "Iteration 6:\n",
      "The latest pair of approximations are 0.7390851332151607 and 0.7390851332151607,\n",
      "where the function's values are 0.0 and 0.0 respectively.\n",
      "The new approximation is 0.7390851332151607, with estimated error 0.0, backward error 0.0\n",
      "\n",
      "The Secant Method gave approximate root is 0.7390851332151607,\n",
      "with estimated error 0.0, backward error 0.0\n"
     ]
    }
   ],
   "source": [
    "(root, errorEstimate) = secant_method(f, a=-1, b=1, demoMode=True)\n",
    "print(f\"\\nThe Secant Method gave approximate root is {root},\")\n",
    "print(f\"with estimated error {errorEstimate:0.4}, backward error {abs(f(root)):0.4}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def graph_secant_method(f, a, b, maxIterations=5):\n",
    "    \"\"\"Graph a few iterations of the Secant Method for solving f(x)=0 in the interval [a, b].\n",
    "    \"\"\"\n",
    "    x_older = a\n",
    "    x_more_recent = b\n",
    "    f_x_older = f(x_older)\n",
    "    f_x_more_recent = f(x_more_recent)\n",
    "    for iteration in range(maxIterations):\n",
    "        x_new = (x_older * f_x_more_recent - f_x_older * x_more_recent)/(f_x_more_recent - f_x_older)\n",
    "        f_x_new = f(x_new)\n",
    "        latest_three_x_values = [x_older, x_more_recent, x_new]\n",
    "        left = np.min(latest_three_x_values)\n",
    "        right = np.max(latest_three_x_values)\n",
    "        x = np.linspace(left, right)\n",
    "        figure(figsize=[12,5])\n",
    "        title(f\"Iteration {iteration+1}, Secant Method\")\n",
    "        xlabel(\"$x$\")\n",
    "        plot(x, f(x))\n",
    "        plot([left, right], [f(left), f(right)])  # the secant line\n",
    "        plot([left, right], [0, 0], 'k')  # the x-axis line\n",
    "        plot(latest_three_x_values, f(latest_three_x_values), 'r*')\n",
    "        # show()  # The Windows version of JupytLab might need this command\n",
    "        (x_older, x_more_recent) = (x_more_recent, x_new)\n",
    "        (f_x_older, f_x_more_recent) = (f_x_more_recent, f_x_new)\n",
    "        errorEstimate = abs(x_older - x_more_recent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_secant_method(f, a=-1, b=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Observations\n",
    "\n",
    "- This converges faster than the {ref}`method-of-false-position` (and far faster than Bisection).\n",
    "- The majority of iterations do have the root surrounded (sign-change in $f$), but every third one — the second and fifth — do not.\n",
    "- Comparing the error estimate to the backward error, the error estmte is in fact quite pessimistic (and so fairly trustworthy); in fact, it is typically of similar size to the backward error at the previous iteration.\n",
    "\n",
    "The last point is a quite common occurence: the available error estimates are often \"trailing indicators\",\n",
    "closer to the error in the previous approximation in an iteration.\n",
    "For example, recall that we saw the same thing with Newton's Method when we used $|x_k - x_{k-1}|$ to estimate the error $E_k := x_k - r$ and saw that it is in fact closer to the previous error, $E_{k-1}$."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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