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Nov 20, 2013 at 11:51 comment added Igor I accepted this answer, because it is a somewhat stronger result (even though it is applied to a slightly modified Newton's Method with an iteration scheme as described by eq. (3) in the paper). It would be also interesting to have a proof, that the newton iteration is monotonically decreasing when starting at $x_0=b$ in the situation above.
Nov 15, 2013 at 12:10 vote accept Igor
Nov 14, 2013 at 20:54 history answered Carlo Beenakker CC BY-SA 3.0