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- W1935861323 abstract "We show analytically that Newtonian iterations, when applied to a polynomial equation, have a positive topological entropy. In a specific example of an attempt to ``find'' the real solutions of the equation $x^2+1=0$, we show that the Newton method is chaotic. We analytically find the invariant density and show how this problem relates to that of a piecewise linear map." @default.
- W1935861323 created "2016-06-24" @default.
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- W1935861323 date "2007-03-29" @default.
- W1935861323 modified "2023-09-27" @default.
- W1935861323 title "Chaos in Newtonian iterations: Searching for zeros which are not there" @default.
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- W1935861323 hasPublicationYear "2007" @default.
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