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    • https://phys.libretexts.org/Bookshelves/Astronomy__Cosmology/Celestial_Mechanics_(Tatum)/01%3A_Numerical_Methods/1.09%3A_Nonlinear_Simultaneous_Equations
      In spite of what might appear at first glance to be some quite complicated Equations, it will be found that the Newton-Raphson process, y=yF/F, is quite straightforward to program, a...In spite of what might appear at first glance to be some quite complicated Equations, it will be found that the Newton-Raphson process, y=yF/F, is quite straightforward to program, although, for computational purposes, F and F are better written as Suppose the initial guesses are x+h, y+k, where x, y are the correct solutions, and h and k are the errors of our guess.

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