Add cx to both sides and devide the equation by c to obtain g(x): x + 2x – 3 = 0 (a) For what c is FPI locally convergent to r = 1? (b) For what c will FPI converge fastest?

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 20EQ
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Add cx to both sides and devide the equation by
c to obtain g(x):
x + 2x – 3 = 0
(a) For what c is FPI locally convergent to r = 1?
(b) For what c will FPI converge fastest?
Transcribed Image Text:Add cx to both sides and devide the equation by c to obtain g(x): x + 2x – 3 = 0 (a) For what c is FPI locally convergent to r = 1? (b) For what c will FPI converge fastest?
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