Apply Newton's method to the equation x² = N to derive this algorithm for getting the square root of N: Xn+l 1 (² 2 n + N Xn

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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Question
=
N to
Apply Newton's method to the equation x²
derive this algorithm for getting the square root of N:
N
5₁₁ - = (x + ²)
=
Xn+1
Transcribed Image Text:= N to Apply Newton's method to the equation x² derive this algorithm for getting the square root of N: N 5₁₁ - = (x + ²) = Xn+1
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