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• W4311779598 abstract "Abstract When exploring the literature, it can be observed that the operator obtained when applying Newton-like root finding algorithms to the quadratic polynomials z 2 − c has the same form regardless of which algorithm has been used. In this paper, we justify why this expression is obtained. This is done by studying the symmetries of the operators obtained after applying Newton-like algorithms to a family of degree d polynomials p ( z ) = z d − c . Moreover, we provide an iterative procedure to obtain the expression of new Newton-like algorithms. We also carry out a dynamical study of the given generic operator and provide general conclusions of this type of methods." @default.
• W4311779598 created "2022-12-28" @default.
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• W4311779598 date "2022-12-15" @default.
• W4311779598 modified "2023-09-26" @default.
• W4311779598 title "Dynamics of Newton-like root finding methods" @default.
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• W4311779598 doi "https://doi.org/10.1007/s11075-022-01474-w" @default.
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