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Timeline for Iterative Root Finding

Current License: CC BY-SA 3.0

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Nov 18, 2015 at 10:08 vote accept MthQ
Nov 17, 2015 at 1:33 history edited Pietro Majer CC BY-SA 3.0
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Nov 17, 2015 at 0:47 comment added Pietro Majer The preceding statement was wrong, so I edited and changed it. Now is correct, though more trivial.
Nov 17, 2015 at 0:43 history undeleted Pietro Majer
Nov 17, 2015 at 0:43 history edited Pietro Majer CC BY-SA 3.0
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Nov 17, 2015 at 0:17 history deleted Pietro Majer via Vote
Nov 16, 2015 at 20:02 comment added Pietro Majer In this case $G$ does not, because for any $M$ the zero set of $G$ meets the region $\{x>M, y>M\}$.
Nov 16, 2015 at 15:39 comment added MthQ Not sure if I understand your answer. Suppose $G(x,y)=y^2-2x+1$, then $x_{i+1}=\frac{1}{2}(x_i^2+1)$, which does not converge to $x^*=1$ for $x_0=2$ (but $G$ does satisfy your property?)
Nov 16, 2015 at 15:20 history answered Pietro Majer CC BY-SA 3.0