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On Newton's method applied to real polynomials

On Newton's method applied to real polynomials,10.1080/10236198.2010.547493,Journal of Difference Equations and Applications,Figen Çilingir,Xavier Jar

On Newton's method applied to real polynomials  
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It is known that if we apply Newton's method to the complex function , with , then the immediate basin of attraction of the roots of P has finite area. In this paper, we show that under certain conditions on the polynomial P, if , then there is at least one immediate basin of attraction having infinite area.
Journal: Journal of Difference Equations and Applications - J DIFFER EQU APPL , vol. 18, no. 6, pp. 1067-1076, 2012
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