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• W3025126174 abstract "We investigate the root finding algorithm given by the secant method applied to a real polynomial p as a discrete dynamical system defined on . We study the shape and distribution of the basins of attraction associated to the roots of p , and we also show the existence of other stable dynamics that might affect the efficiency of the algorithm. Finally we extend the secant map to the punctured torus which allow us to better understand the dynamics of the secant method near and facilitate the use of the secant map as a method to find all roots of a polynomial." @default.
• W3025126174 created "2020-05-21" @default.
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• W3025126174 date "2019-10-14" @default.
• W3025126174 modified "2023-10-13" @default.
• W3025126174 title "Global dynamics of the real secant method" @default.
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• W3025126174 doi "https://doi.org/10.1088/1361-6544/ab2f55" @default.
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