The fixed point iteration rn+1 = xn + sin(xn) has roots at r = nn %3D
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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Transcribed Image Text:4. The fixed point iteration xn+1 = Xn + sin(xn) has roots at r = nn for
any integer n. Will this iteration converge if you start very close to the
root r = 0? Will it converge if you start near the root r = T? In both
cases, if it does converge, what is the order of convergence?
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