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• W2038007851 abstract "For a nonconstant function F and a real number h∈]0, 1] the relaxed Newton's method N F,h of F is an iterative algorithm for finding the zeroes of F. We show that when relaxed Newton's method is applied to complex function F(z)=P(z)e Q(z) , where P and Q are polynomials, the basin of attraction of a root of F has finite area if the degree of Q exceeds or equals 3. The key point is that N F,h is a rational map with a parabolic fixed point at infinity." @default.
• W2038007851 created "2016-06-24" @default.
• W2038007851 creator A5010422142 @default.
• W2038007851 date "2004-12-01" @default.
• W2038007851 modified "2023-09-27" @default.
• W2038007851 title "FINITENESS OF THE AREA OF BASINS OF ATTRACTION OF RELAXED NEWTON METHOD FOR CERTAIN HOLOMORPHIC FUNCTIONS" @default.
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• W2038007851 doi "https://doi.org/10.1142/s0218127404011879" @default.
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