While solving a system of equations using any numerical method, the point to which the method converges is strongly dependent on the initial guess. The set of points that converge to a given root is called the basin of attraction of that root. It would be interesting to visualize the basins of attraction by coloring each starting point with a different color depending on which root it converges to. The different basins will thus be given different colors. The basins of attraction obtained will look like fractals.
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KSSV (2024). Basins of attraction (https://www.mathworks.com/matlabcentral/fileexchange/43564-basins-of-attraction), MATLAB Central File Exchange. 检索来源 .
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