b-a Use the theorem (≤ ɛ) to find a bound for the number of iterations needed to achieve 27 an approximation with an accuracy of 10-³ to the solution x³ - x - 1 = 0 lying in the interval [1,4].

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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b-a
Use the theorem (≤ ɛ) to find a bound for the number of iterations needed to achieve
27
an approximation with an accuracy of 10³ to the solution x³ - x - 1 = 0 lying in the
interval [1,4].
Transcribed Image Text:b-a Use the theorem (≤ ɛ) to find a bound for the number of iterations needed to achieve 27 an approximation with an accuracy of 10³ to the solution x³ - x - 1 = 0 lying in the interval [1,4].
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