Example. Use the fixed-point method with the function g(x) =√10-X³ to solve the equation x³+4x² 10 = 0 in the interval [1,2] for po = 1.5 with a tolerance 10-³. Then use Aitken's A² method to accelerate the fixed point iterations under the same tolerance. -
Example. Use the fixed-point method with the function g(x) =√10-X³ to solve the equation x³+4x² 10 = 0 in the interval [1,2] for po = 1.5 with a tolerance 10-³. Then use Aitken's A² method to accelerate the fixed point iterations under the same tolerance. -
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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![Example. Use the fixed-point method with the function
g(x) = 2√₁
to solve the equation
10- x³
x³+4x² 10 = 0
in the interval [1,2] for po = 1.5 with a tolerance 10-³.
Then use Aitken's A² method to accelerate the fixed point iterations under the
same tolerance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec17fa13-d8f7-4e07-8952-32ea6361656a%2F2411fe52-4529-4880-a81c-d5013e31fb27%2Fg92oeld_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example. Use the fixed-point method with the function
g(x) = 2√₁
to solve the equation
10- x³
x³+4x² 10 = 0
in the interval [1,2] for po = 1.5 with a tolerance 10-³.
Then use Aitken's A² method to accelerate the fixed point iterations under the
same tolerance.
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