NEED FULL DETAILED ANSWER AND PROCESS. 6. If the fixed point iteration xn+1 = Xn +cf(xn) is used near a rootr off (x) = 0, hơw should the constant c be chosen in order to ensure thefastest convergence?

In this question, we need to find the condition for c so the fixed point scheme converges fastest.…

Answered: If the fixed point iteration xn+1= 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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If the fixed point iteration xn+1= xn + cf(xn) is used near a root r of f (x) = 0, how should the constant c be chosen in order to ensure the fastest convergence?