{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Root-finding Without Derivatives\n",
    "================================\n",
    "\n",
    "**References:**\n",
    "\n",
    "- Section 1.5.2 of [Sauer](../references.html#Sauer)\n",
    "\n",
    "- Section 2.3 of [Burden&Faires](../references.html#Burden-Faires) (the second half, on the Secant Method)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "\n",
    "In section {doc}`root-finding-by-interval-halving-julia`) 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-julia.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": [
    "## Using Linear Approximation Without Derivatives\n",
    "\n",
    "One quirk of the\n",
    "[Bisection Method](root-finding-by-interval-halving-julia.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": [
    "<a name=\"method-of-false-position\"></a>\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": [
    "function falseposition(f, a, b, errortolerance; maxiterations=10, 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\n",
    "        println(\"Solving by the Method of False Position.\")\n",
    "    end;\n",
    "    fa = f(a)\n",
    "    fb = f(b)\n",
    "    global c, errorbound  # So that they persist after the end of the following for loop!\n",
    "    for iteration in 1:maxiterations\n",
    "        if demomode\n",
    "            println(\"\\nIteration $iteration:\")\n",
    "        end;\n",
    "        c = (a * fb - fa * b)/(fb - fa)\n",
    "        fc = f(c)\n",
    "        if fa * fc < 0\n",
    "            b = c\n",
    "            fb = fc  # N.B. When b is updated, so must be fb = f(b)\n",
    "        else\n",
    "            a = c\n",
    "            fa = fc\n",
    "        end;\n",
    "        errorbound = b - a\n",
    "        if demomode\n",
    "            println(\"The root is in interval [$a, $b]\")\n",
    "            println(\"The new approximation is $c with error bound $errorbound, backward error $(abs(fc))\")\n",
    "        end\n",
    "        if errorbound <= errortolerance\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, errorbound)\n",
    "end;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "f(x) = x - cos(x)\n",
    "a = -1.0\n",
    "b = 1.0;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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 [0.5403023058681398, 1.0]\n",
      "The new approximation is 0.5403023058681398 with error bound 0.45969769413186023, backward error 0.31725090997825367\n",
      "\n",
      "Iteration 2:\n",
      "The root is in interval [0.7280103614676172, 1.0]\n",
      "The new approximation is 0.7280103614676172 with error bound 0.2719896385323828, backward error 0.018489394577603013\n",
      "\n",
      "Iteration 3:\n",
      "The root is in interval [0.7385270062423998, 1.0]\n",
      "The new approximation is 0.7385270062423998 with error bound 0.26147299375760025, backward error 0.0009339728812858272\n",
      "\n",
      "Iteration 4:\n",
      "The root is in interval [0.7390571666782676, 1.0]\n",
      "The new approximation is 0.7390571666782676 with error bound 0.2609428333217324, backward error 4.68048435270374e-5\n",
      "\n",
      "Iteration 5:\n",
      "The root is in interval [0.7390837322783136, 1.0]\n",
      "The new approximation is 0.7390837322783136 with error bound 0.2609162677216864, backward error 2.3446240340341262e-6\n",
      "\n",
      "Iteration 6:\n",
      "The root is in interval [0.7390850630385933, 1.0]\n",
      "The new approximation is 0.7390850630385933 with error bound 0.26091493696140666, backward error 1.1744834538252036e-7\n",
      "\n",
      "Iteration 7:\n",
      "The root is in interval [0.7390851296998365, 1.0]\n",
      "The new approximation is 0.7390851296998365 with error bound 0.26091487030016347, backward error 5.883288745067716e-9\n",
      "\n",
      "Iteration 8:\n",
      "The root is in interval [0.7390851330390691, 1.0]\n",
      "The new approximation is 0.7390851330390691 with error bound 0.2609148669609309, backward error 2.9470892393135273e-10\n",
      "\n",
      "Iteration 9:\n",
      "The root is in interval [0.7390851332063397, 1.0]\n",
      "The new approximation is 0.7390851332063397 with error bound 0.26091486679366027, backward error 1.476285760304563e-11\n",
      "\n",
      "Iteration 10:\n",
      "The root is in interval [0.7390851332147188, 1.0]\n",
      "The new approximation is 0.7390851332147188 with error bound 0.2609148667852812, backward error 7.394085344003543e-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": [
    "errortolerance = 1e-12\n",
    "(root, errorbound) = falseposition(f, a, b, errortolerance; demomode=true)\n",
    "println()\n",
    "println(\"The Method of False Position gave approximate root $root\")\n",
    "println(\" with estimate error $errorbound 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": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "function graphfalseposition(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=[12,6])\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": 6,
   "metadata": {},
   "outputs": [
    {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graphfalseposition(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": {},
   "source": [
    "### Pseduo-code for a Secant Method Algorithm\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>$\\quad$ $\\displaystyle x_k \\leftarrow \\frac{x_{k-2} f(x_{k-1}) - f(x_{k-2}) x_{k-1}}{f(x_{k-1}) - f(x_{k-2})}$\n",
    "<br>$\\quad$ Evaluate the error estimate $E_{est} \\leftarrow |x_k - x_{k-1}|$\n",
    "<br>$\\quad$ if $E_{est} \\leq E_{tol}$\n",
    "<br>$\\quad\\quad$ End the iterations\n",
    "<br>$\\quad$ else\n",
    "<br>$\\quad\\quad$ Go around another time\n",
    "<br>$\\quad$ end\n",
    "<br>end\n",
    "<br>Output the final $x_k$ as the approximate root and $E_{est}$ as an estimate of its absolute error."
   ]
  },
  {
   "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": [
    "function secantmethod(f, a, b, errortolerance; maxiterations=20, demomode=false)\n",
    "    # Solve f(x)=0 in the interval [a, b] by the Secant Method.\n",
    "\n",
    "    if demomode\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 demomode\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 demomode\n",
    "            println(\"The latest pair of approximations are $x_older and $x_more_recent,\")\n",
    "            println(\"where the function's values are $f_x_older and $f_x_more_recent respectively.\")\n",
    "            println(\"The new approximation is $x_new with estimated error $errorestimate and backward error $(abs(f_x_new))\")\n",
    "        end;\n",
    "        if errorestimate < errortolerance\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": 8,
   "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 0.5403023058681398,\n",
      "where the function's values are 0.45969769413186023 and -0.31725090997825367 respectively.\n",
      "The new approximation is 0.5403023058681398 with estimated error 0.45969769413186023 and backward error 0.31725090997825367\n",
      "\n",
      "Iteration 2:\n",
      "The latest pair of approximations are 0.5403023058681398 and 0.7280103614676172,\n",
      "where the function's values are -0.31725090997825367 and -0.018489394577603013 respectively.\n",
      "The new approximation is 0.7280103614676172 with estimated error 0.18770805559947745 and backward error 0.018489394577603013\n",
      "\n",
      "Iteration 3:\n",
      "The latest pair of approximations are 0.7280103614676172 and 0.7396270126307336,\n",
      "where the function's values are -0.018489394577603013 and 0.0009070044004072519 respectively.\n",
      "The new approximation is 0.7396270126307336 with estimated error 0.011616651163116387 and backward error 0.0009070044004072519\n",
      "\n",
      "Iteration 4:\n",
      "The latest pair of approximations are 0.7396270126307336 and 0.7390838007832722,\n",
      "where the function's values are 0.0009070044004072519 and -2.229973380507566e-6 respectively.\n",
      "The new approximation is 0.7390838007832722 with estimated error 0.0005432118474614223 and backward error 2.229973380507566e-6\n",
      "\n",
      "Iteration 5:\n",
      "The latest pair of approximations are 0.7390838007832722 and 0.7390851330557805,\n",
      "where the function's values are -2.229973380507566e-6 and -2.6674051856190317e-10 respectively.\n",
      "The new approximation is 0.7390851330557805 with estimated error 1.3322725083142473e-6 and backward error 2.6674051856190317e-10\n",
      "\n",
      "Iteration 6:\n",
      "The latest pair of approximations are 0.7390851330557805 and 0.7390851332151607,\n",
      "where the function's values are -2.6674051856190317e-10 and 0.0 respectively.\n",
      "The new approximation is 0.7390851332151607 with estimated error 1.5938017572381113e-10 and backward error 0.0\n",
      "\n",
      "Iteration 7:\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 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": [
    "errortolerance = 1e-12\n",
    "(root, errorestimate) = secantmethod(f, a, b, errortolerance, demomode=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": 9,
   "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=[12,6])\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": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <Figure size 1200x600 with 1 Axes>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graphsecantmethod(f, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Observations\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 estmte is in fact 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, $E_{k-1}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "This work is licensed under [Creative Commons Attribution-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-sa/4.0/)"
   ]
  }
 ],
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  "kernelspec": {
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   "language": "julia",
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   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.8.1"
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 "nbformat": 4,
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