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Recall that Heron's method for calculating the square root of a mumber N was to iteratively calculate -(). n+1= Show that this is the same recursive equation that you would obtain by applying Newton's method to find a zero of the polynomial a- N.

Recall that Heron's method for calculating the square root of a mumber N was to iteratively calculate -(). n+1= Show that this is the same recursive equation that you would obtain by applying Newton's method to find a zero of the polynomial a- N.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Recall that Heron's method for calculating the square root of a number N was to iteratively calculate N Show that this is the same recursive equation that you would obtain by applying Newton's method to find a zero of the polynomial a- N.
Transcribed Image Text:Recall that Heron's method for calculating the square root of a number N was to iteratively calculate N Show that this is the same recursive equation that you would obtain by applying Newton's method to find a zero of the polynomial a- N.
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