The root of the equation x = 1/2 + sin x by using the iteration method xn+1 = Q4 1/2+ sin xn, xo = 1 correct to 6 decimal places is x = 1.497300. Determine the number of iteration steps required to each the root by the linear iteration.

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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The root of the equation ? = 1/2 + ??? ? by using the iteration method ??+1 =
1/2 + ??? ??, ?? = 1 correct to 6 decimal places is ? = 1.497300. Determine the
number of iteration steps required to each the root by the linear iteration.

 

Q4
The root of the equation x = 1/2 + sin x by using the iteration method xn+1 =
1/2 + sin xn, xo = 1 correct to 6 decimal places is x = 1.497300. Determine the
number of iteration steps required to each the root by the linear iteration.
Transcribed Image Text:Q4 The root of the equation x = 1/2 + sin x by using the iteration method xn+1 = 1/2 + sin xn, xo = 1 correct to 6 decimal places is x = 1.497300. Determine the number of iteration steps required to each the root by the linear iteration.
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