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    • 1.5: The Solution of Polynomial Equations
      https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/01%3A_Numerical_Methods/1.05%3A_The_Solution_of_Polynomial_Equations
      The Newton-Raphson method is very suitable for the solution of polynomial equations.
    • 1.6: Failure of the Newton-Raphson Method
      https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/01%3A_Numerical_Methods/1.06%3A_Failure_of_the_Newton-Raphson_Method
      In nearly all cases encountered in practice Newton-Raphson method is very rapid and does not require a particularly good first guess. Nevertheless for completeness it should be pointed out that there...In nearly all cases encountered in practice Newton-Raphson method is very rapid and does not require a particularly good first guess. Nevertheless for completeness it should be pointed out that there are rare occasions when the method either fails or converges rather slowly.

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