A fixed point iteration to find a root of 3x3 + 2x² + 3x + 2 = 0 close to E2) x = -0.5 is written as xk+! = 2+3x+2x 3x Does this iteration converge? If so, iterate twice. If not, write a suitable form of the iteration, show that it converges and iterate twice to find the root.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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A fixed point iteration to find a root of 3x3 + 2x² + 3x + 2 = 0 close to
E2)
x = -0.5 is written as xk+! =
2+3x+2x
3x
Does this iteration converge? If so, iterate twice. If not, write a suitable form of the
iteration, show that it converges and iterate twice to find the root.
Transcribed Image Text:A fixed point iteration to find a root of 3x3 + 2x² + 3x + 2 = 0 close to E2) x = -0.5 is written as xk+! = 2+3x+2x 3x Does this iteration converge? If so, iterate twice. If not, write a suitable form of the iteration, show that it converges and iterate twice to find the root.
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