We investigate the basins of attraction in the complex plane of Newton's method for finding multiple roots and illustrate what happens as two simple roots coalesce to form a double root.
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Struct Engn Res Ctr, Risk & Reliabil Grp, Madras 600113, Tamil Nadu, IndiaStruct Engn Res Ctr, Risk & Reliabil Grp, Madras 600113, Tamil Nadu, India
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Department of Law and Economics, University Mediterranea of Reggio Calabria, Reggio CalabriaDepartment of Law and Economics, University Mediterranea of Reggio Calabria, Reggio Calabria
Ferrara M.
Sharifi S.
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MEDAlics, Research Centre at the University Dante Alighieri, Reggio CalabriaDepartment of Law and Economics, University Mediterranea of Reggio Calabria, Reggio Calabria
Sharifi S.
Salimi M.
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MEDAlics, Research Centre at the University Dante Alighieri, Reggio Calabria
Center for Dynamics, Department of Mathematics, Technische Universität Dresden, DresdenDepartment of Law and Economics, University Mediterranea of Reggio Calabria, Reggio Calabria