Question 1 Using the method of fixed-point iteration, list two forms for g(x) for the following function f(x) and check their divergence when xo = 2.43. Select one of these forms to find a root starting from co. f(x) = 4√² + 16x0.3 - 40 Ot* Work all your computations at an accuracy of 3 digits after the lecimal point. Stop the iterations when a ≤ 0.1%, where: Ea = |¹i-i-1|× 100% Xi
Question 1 Using the method of fixed-point iteration, list two forms for g(x) for the following function f(x) and check their divergence when xo = 2.43. Select one of these forms to find a root starting from co. f(x) = 4√² + 16x0.3 - 40 Ot* Work all your computations at an accuracy of 3 digits after the lecimal point. Stop the iterations when a ≤ 0.1%, where: Ea = |¹i-i-1|× 100% Xi
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:Question 1
Using the method of fixed-point iteration, list two forms for g(x)
for the following function f(x) and check their divergence when
xo = 2.43. Select one of these forms to find a root starting from ro.
%3D
f(x) = 4ev + 16x0.3 – 40
Not*
Work all your computations at an accuracy of 3 digits after the
decimal point. Stop the iterations when ɛa <0.1%, where:
|Xi-Xi-1
Ea =
x 100%
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