Consider the equation 2x - 1 = 2 on the interval [1, 2]. 1 +1 will converge to a 2pn-1 (a) Show that the fixed point iteration of the form pn = unique fixed point in that interval for any initial guess po in the interval.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 21EQ
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Consider the equation 2x -
1
= 2 on the interval [1, 2].
1
+1 will converge to a
2pn-1
(a) Show that the fixed point iteration of the form pn =
unique fixed point in that interval for any initial guess po in the interval.
Transcribed Image Text:Consider the equation 2x - 1 = 2 on the interval [1, 2]. 1 +1 will converge to a 2pn-1 (a) Show that the fixed point iteration of the form pn = unique fixed point in that interval for any initial guess po in the interval.
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