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    Rootfinding for Nonlinear Equations: Newton's Method

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    51. Solve the system:

    x^2 + xy^3 = 9

    3x^2y - y^3 = 4

    using Newton's method for nonlinear system. Use each of the initial guesses:

    (x_0, y_0) = (1.2, 2.5), (-2, 2.5), (-1.2, -2.5), (2, -2.5)

    Observe which root to which the method converges, the number or iterates required, and the speed of convergence.

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    This solution shows how to use Newton's method for non linear systems in an attached Word and PDF file.