The equation x = f (x) is solved by the iteration method x+1= f (x₂), and a solution is wanted with a maximum error not

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The equation x = f (x) is solved by the iteration method x+1= f (x₂), and a solution is wanted with a maximum error not

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The Equation X F X Is Solved By The Iteration Method X 1 F X And A Solution Is Wanted With A Maximum Error Not 1
The Equation X F X Is Solved By The Iteration Method X 1 F X And A Solution Is Wanted With A Maximum Error Not 1 (16.16 KiB) Viewed 27 times
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The equation x = f (x) is solved by the iteration method x+1= f (x₂), and a solution is wanted with a maximum error not greater than 0.5 x 10. The first and second iterates were computed as : x₁=0.50000 and x₂ = 0.52661. How many iterations must be per- formed further, if it is known that | f'(x) | ≤0.53 for all values of x.
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