Given f (x) = a² – x – 6.Using the fixed point iteration method (x=g(x)), where g(x) is a negative root square function, ?which of the following statements is correct g(x) has Oscillatory convergence at (3)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Given f (x) = x² – x - 6. Using the fixed point iteration
method (x-g(x)), where g(x) is a negative root square function,
?which of the following statements is correct
g(x) has Oscillatory convergence at (3)
g(x) has Monotonic convergence at (-2) O
None
g(x) has Monotonic convergence at (3)
Transcribed Image Text:Given f (x) = x² – x - 6. Using the fixed point iteration method (x-g(x)), where g(x) is a negative root square function, ?which of the following statements is correct g(x) has Oscillatory convergence at (3) g(x) has Monotonic convergence at (-2) O None g(x) has Monotonic convergence at (3)
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