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Newton's method |
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| Initially, Newton's method for root solving was used to find a numerical solution of Gupta's equation 8, and then, if Newton's method failed to find the root, a modified regula falsi method was applied. Their results reveal a chaotic side to Newton's method that has become apparent only in the last five years. From the educational point of view, it can be used in high school or college courses to teach mathematical concepts: the algebra and geometry of complex numbers, the notions of limit and continuity, algorithms for polynomial root-finding and iteration functions such as Newton's method, geometric constructs such as Voronoi regions, and fractal sets. |
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Newton's method
