Verify that x = 1/a is a fixed point of the function g(x) x(2 ax). Determine the order of convergence and the asymptotic error constant of the iteration sequence Pn = 9(Pn-1) toward x = 1/a. =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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Verify that x = 1/a is a fixed point of the function g(x)
x(2 ax). Determine
the order of convergence and the asymptotic error constant of the iteration sequence
Pn = 9(Pn-1) toward x =
= 1/a.
MOT
=
-
Transcribed Image Text:Verify that x = 1/a is a fixed point of the function g(x) x(2 ax). Determine the order of convergence and the asymptotic error constant of the iteration sequence Pn = 9(Pn-1) toward x = = 1/a. MOT = -
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