Suppose po = 1. Find n such that Pn - p ≤ 10-10.
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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I only need help with part C, thank you!
![(4) Consider the following iteration pn =
+6pn-1
3p 1+2,
n = 1, 2, ...
E
Show that {Pn}1 converges to the unique fixed point, p, for any po € [1, 2].
Find p and the order of convergence.
Suppose po = 1. Find n such that pn - p ≤ 10-10.
Ote](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35297a1-b721-4db8-bd8e-6ef5b83beda5%2F00f9a4c2-7cb2-4017-a53d-06014893333d%2F1gq7es_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(4) Consider the following iteration pn =
+6pn-1
3p 1+2,
n = 1, 2, ...
E
Show that {Pn}1 converges to the unique fixed point, p, for any po € [1, 2].
Find p and the order of convergence.
Suppose po = 1. Find n such that pn - p ≤ 10-10.
Ote
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