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    "(chapter:root-finding)=\n",
    "# Root-finding\n",
    "\n",
    "This chapter was last revised on August 18, 2025."
   ]
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    "**References:**\n",
    "\n",
    "- Chapter 2, [*Algebra*](https://numericalmethodssullivan.github.io/ch-algebra.html), of {cite:ts}`Sullivan`.\n",
    "\n",
    "- Chapter 1, *Solving Equations*, of {cite:ts}`Sauer`.\n",
    "\n",
    "- Chapter 2, *Solutions of Equations of One Variable*, of {cite:ts}`Burden-Faires`.\n",
    "\n",
    "- Chapter 2, *Iterative Methods to Solve Nonlinear Equations*, of {cite:ts}`Dionne`\n",
    "\n",
    "- Chapter 3, *Nonlinear Equations*, of {cite:ts}`Chenney-Kincaid`.\n",
    "\n",
    "- Chapter 6, *Solving Scalar Nonlinear Equations*, of {cite:ts}`Dahlquist-Bjorck-v1`\n",
    "\n",
    "- The package [SciPy](https://scipy.org/) has some functions for this, described in the [Scientific Python Lectures](https://scipy-lectures.org/) {cite}`SciPy-lectures` at https://docs.scipy.org/doc/scipy/reference/optimize.html#root-finding.\n",
    "Somewhat surprisingly, root-finding is treated there as a case of optimization."
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