{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(section:root-finding-without-derivatives)=\n",
    "# Root-finding Without Derivatives"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Last revised on August 25, 2025**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**References:**\n",
    "\n",
    "- {cite}`Sullivan` Sections 2.3, [The Regula Falsi Method](https://numericalmethodssullivan.github.io/ch-algebra.html#the-regula-falsi-method)\n",
    "and 2.5, [The Secant Method](https://numericalmethodssullivan.github.io/ch-algebra.html#the-secant-method).\n",
    "\n",
    "- {cite}`Sauer` Section 1.5.1, *Secant Method and Variants*.\n",
    "\n",
    "- {cite}`Dionne` Section 2.6, *Secant Method*.\n",
    "\n",
    "- {cite}`Burden-Faires` Section 2.3, *Newton's Method and its Extensions* — the later sub-sections, on *The Secant Method* and *The Method of False Position*.\n",
    "\n",
    "- {cite}`Chenney-Kincaid` Section 3.3, *Secant Method*.\n",
    "\n",
    "- {cite}`Dahlquist-Bjorck-v1`Section 6.2, *Methods Based on Interpolation*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "In section {doc}`root-finding-by-interval-halving`) we have seen one method for solving $f(x) = 0$ without needing to know any derivatives of $f$:\n",
    "the *Bisection Method* a.k.a. *Interval Halving*.\n",
    "\n",
    "However, we have also seen that that method is far slower then Newton's Method;\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.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": [
    "using PyPlot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear Approximation Without Derivatives\n",
    "\n",
    "One quirk of the\n",
    "[Bisection Method](root-finding-by-interval-halving.ipynb)\n",
    "is that it only used the sign of the values $f(a)$ and $f(b)$, 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",
    "### A Flawed 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": "markdown",
   "metadata": {},
   "source": [
    "Some helper functions for displaying numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "roundoff(x) = round(x, sigdigits=12);  # Rounding off output to 12 significant digits, to clean up output\n",
    "round3(x) = round(x, sigdigits=3);  # For rounding off errors,wher only a few significant digits are needed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "function false_position(f, a, b, error_tolerance; maxiterations=10, demo_mode=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 Julia variable names\n",
    "    # - An optional \"demonstration mode\" to display intermediate results.\n",
    "\n",
    "    if demo_mode\n",
    "        println(\"Solving by the Method of False Position.\")\n",
    "    end;\n",
    "    fa = f(a)\n",
    "    fb = f(b)\n",
    "    global c, error_bound  # So that they persist after the end of the following for loop!\n",
    "    for iteration in 1:maxiterations\n",
    "        if demo_mode\n",
    "            println(\"\\nIteration $iteration:\")\n",
    "        end;\n",
    "        c = (a * fb - fa * b)/(fb - fa)\n",
    "        fc = f(c)\n",
    "        if fa * fc < 0\n",
    "            b = c\n",
    "            fb = fc  # N.B. When b is updated, so must be fb = f(b)\n",
    "        else\n",
    "            a = c\n",
    "            fa = fc\n",
    "        end;\n",
    "        error_bound = b - a\n",
    "        if demo_mode\n",
    "            println(\"The root is in interval [$(roundoff(a)), $(roundoff(b))]\")\n",
    "            println(\"The new approximation is $(roundoff(c)) with error bound $(round3(error_bound)), backward error $(round3(abs(fc)))\")\n",
    "        end\n",
    "        if error_bound <= error_tolerance\n",
    "            break\n",
    "        end;\n",
    "    end;\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, error_bound)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "f(x) = x - cos(x)\n",
    "a = -1.0\n",
    "b = 1.0;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving by the Method of False Position.\n",
      "\n",
      "Iteration 1:\n",
      "The root is in interval [0.540302305868, 1.0]\n",
      "The new approximation is 0.540302305868 with error bound 0.46, backward error 0.317\n",
      "\n",
      "Iteration 2:\n",
      "The root is in interval [0.728010361468, 1.0]\n",
      "The new approximation is 0.728010361468 with error bound 0.272, backward error 0.0185\n",
      "\n",
      "Iteration 3:\n",
      "The root is in interval [0.738527006242, 1.0]\n",
      "The new approximation is 0.738527006242 with error bound 0.261, backward error 0.000934\n",
      "\n",
      "Iteration 4:\n",
      "The root is in interval [0.739057166678, 1.0]\n",
      "The new approximation is 0.739057166678 with error bound 0.261, backward error 4.68e-5\n",
      "\n",
      "Iteration 5:\n",
      "The root is in interval [0.739083732278, 1.0]\n",
      "The new approximation is 0.739083732278 with error bound 0.261, backward error 2.34e-6\n",
      "\n",
      "Iteration 6:\n",
      "The root is in interval [0.739085063039, 1.0]\n",
      "The new approximation is 0.739085063039 with error bound 0.261, backward error 1.17e-7\n",
      "\n",
      "Iteration 7:\n",
      "The root is in interval [0.7390851297, 1.0]\n",
      "The new approximation is 0.7390851297 with error bound 0.261, backward error 5.88e-9\n",
      "\n",
      "Iteration 8:\n",
      "The root is in interval [0.739085133039, 1.0]\n",
      "The new approximation is 0.739085133039 with error bound 0.261, backward error 2.95e-10\n",
      "\n",
      "Iteration 9:\n",
      "The root is in interval [0.739085133206, 1.0]\n",
      "The new approximation is 0.739085133206 with error bound 0.261, backward error 1.48e-11\n",
      "\n",
      "Iteration 10:\n",
      "The root is in interval [0.739085133215, 1.0]\n",
      "The new approximation is 0.739085133215 with error bound 0.261, backward error 7.39e-13\n",
      "\n",
      "The Method of False Position gave approximate root 0.7390851332147188\n",
      " with estimate error 0.2609148667852812 and backward error 7.394085344003543e-13\n"
     ]
    }
   ],
   "source": [
    "error_tolerance = 1e-12\n",
    "(root, error_bound) = false_position(f, a, b, error_tolerance; demo_mode=true)\n",
    "println()\n",
    "println(\"The Method of False Position gave approximate root $root\")\n",
    "println(\" with estimate error $error_bound and backward error $(abs(f(root)))\")"
   ]
  },
  {
   "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": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "function graphfalse_position(f, a, b; maxiterations=3)\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 1:maxiterations\n",
    "        c = (a * fb - fa * b)/(fb - fa)\n",
    "        fc = f(c)\n",
    "        abc = [a b c]\n",
    "        # TODO: find min, max in julia!\n",
    "        left = min(a, b)\n",
    "        right = max(a, b)\n",
    "        xplot = range(left, right, 100);\n",
    "        figure(figsize=[10,6])\n",
    "        grid(true)\n",
    "        title(\"Method of False Position Iteration $iteration\")\n",
    "        xlabel(\"x\")\n",
    "        plot(xplot, f.(xplot))\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; it is harmless anyway.\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",
    "        end;\n",
    "    end;\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graphfalse_position(f, a, b)"
   ]
  },
  {
   "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": [
    "### Julia Code for this Secant Method Algorithm\n",
    "\n",
    "We could write Julia code that closely follows this notation,\n",
    "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": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "function secantmethod(f, a, b, error_tolerance; maxiterations=20, demo_mode=false)\n",
    "    # Solve f(x)=0 in the interval [a, b] by the Secant Method.\n",
    "\n",
    "    if demo_mode\n",
    "        print(\"Solving by the Secant Method.\")\n",
    "    end;\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 1:maxiterations\n",
    "        global x_new, errorestimate\n",
    "        if demo_mode\n",
    "            println(\"\\nIteration $(iteration):\")\n",
    "        end;\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 demo_mode\n",
    "            println(\"The latest pair of approximations are $(roundoff(x_older)) and $(roundoff(x_more_recent)),\")\n",
    "            println(\"where the function's values are $(roundoff(f_x_older)) and $(roundoff(f_x_more_recent)) respectively.\")\n",
    "            print(\"The new approximation is $(roundoff(x_new)),\")\n",
    "            println(\"with estimated error $(round3(errorestimate)) and backward error $(round3(abs(f_x_new)))\")\n",
    "        end;\n",
    "        if errorestimate < error_tolerance\n",
    "            break\n",
    "        end;\n",
    "    end;\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)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving by the Secant Method.\n",
      "Iteration 1:\n",
      "The latest pair of approximations are 1.0 and 0.540302305868,\n",
      "where the function's values are 0.459697694132 and -0.317250909978 respectively.\n",
      "The new approximation is 0.540302305868,with estimated error 0.46 and backward error 0.317\n",
      "\n",
      "Iteration 2:\n",
      "The latest pair of approximations are 0.540302305868 and 0.728010361468,\n",
      "where the function's values are -0.317250909978 and -0.0184893945776 respectively.\n",
      "The new approximation is 0.728010361468,with estimated error 0.188 and backward error 0.0185\n",
      "\n",
      "Iteration 3:\n",
      "The latest pair of approximations are 0.728010361468 and 0.739627012631,\n",
      "where the function's values are -0.0184893945776 and 0.000907004400407 respectively.\n",
      "The new approximation is 0.739627012631,with estimated error 0.0116 and backward error 0.000907\n",
      "\n",
      "Iteration 4:\n",
      "The latest pair of approximations are 0.739627012631 and 0.739083800783,\n",
      "where the function's values are 0.000907004400407 and -2.22997338051e-6 respectively.\n",
      "The new approximation is 0.739083800783,with estimated error 0.000543 and backward error 2.23e-6\n",
      "\n",
      "Iteration 5:\n",
      "The latest pair of approximations are 0.739083800783 and 0.739085133056,\n",
      "where the function's values are -2.22997338051e-6 and -2.66740518562e-10 respectively.\n",
      "The new approximation is 0.739085133056,with estimated error 1.33e-6 and backward error 2.67e-10\n",
      "\n",
      "Iteration 6:\n",
      "The latest pair of approximations are 0.739085133056 and 0.739085133215,\n",
      "where the function's values are -2.66740518562e-10 and 0.0 respectively.\n",
      "The new approximation is 0.739085133215,with estimated error 1.59e-10 and backward error 0.0\n",
      "\n",
      "Iteration 7:\n",
      "The latest pair of approximations are 0.739085133215 and 0.739085133215,\n",
      "where the function's values are 0.0 and 0.0 respectively.\n",
      "The new approximation is 0.739085133215,with estimated error 0.0 and backward error 0.0\n",
      "\n",
      "The Secant Method gave approximate root 0.7390851332151607,\n",
      "with estimated error 0.0, backward error 0.0"
     ]
    }
   ],
   "source": [
    "error_tolerance = 1e-12\n",
    "(root, errorestimate) = secantmethod(f, a, b, error_tolerance, demo_mode=true)\n",
    "\n",
    "println()\n",
    "println(\"The Secant Method gave approximate root $root,\")\n",
    "print(\"with estimated error $errorestimate, backward error $(abs(f(root)))\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, you get a version of `secantmethod` from the module `NumericalMethods` with\n",
    "\n",
    "    import .NumericalMethods: secantmethod"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "function graphsecantmethod(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 1: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 = min(x_older, x_more_recent, x_new)\n",
    "        right = max(x_older, x_more_recent, x_new)\n",
    "        xplot = range(left, right, 100);\n",
    "        figure(figsize=[10,6])\n",
    "        grid(true)\n",
    "        title(\"Secant Method iteration $iteration\")\n",
    "        xlabel(\"x\")\n",
    "        plot(xplot, f.(xplot))\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",
    "        x_older = x_more_recent\n",
    "        f_x_older = f_x_more_recent\n",
    "        x_more_recent = x_new\n",
    "        f_x_more_recent = f_x_new\n",
    "        errorEstimate = abs(x_older - x_more_recent)\n",
    "    end;\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1000x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graphsecantmethod(f, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```{prf:observation}\n",
    "\n",
    "- This converges faster than the [Method of False Position](#method-of-false-position) (and far faster than Bisection).\n",
    "- The majority of iterations 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 estimate is quite pessimistic (and so fairly trustworthy);\n",
    "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, $E_{k-1}$.\n",
    "```"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.11.4",
   "language": "julia",
   "name": "julia-1.11"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.11.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
